Academic literature on the topic 'Nonlinear Differential Guidance Law'

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Journal articles on the topic "Nonlinear Differential Guidance Law"

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Xi, Axing, and Yuanli Cai. "A Nonlinear Finite-Time Robust Differential Game Guidance Law." Sensors 22, no. 17 (2022): 6650. http://dx.doi.org/10.3390/s22176650.

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In this paper, a robust differential game guidance law is proposed for the nonlinear zero-sum system with unknown dynamics and external disturbances. First, the continuous-time nonlinear zero-sum differential game problem is transformed into solving the nonlinear Hamilton–Jacobi–Isaacs equation, a time-varying cost function is developed to reflect the fixed terminal time, and the robust guidance law is developed to compensate for the external disturbance. Then, a novel neural network identifier is designed to approximate the unknown nonlinear dynamics with online weight tuning. Subsequently, a
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Bardhan, Rajarshi, and Debasish Ghose. "Nonlinear Differential Games-Based Impact-Angle-Constrained Guidance Law." Journal of Guidance, Control, and Dynamics 38, no. 3 (2015): 384–402. http://dx.doi.org/10.2514/1.g000940.

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Cho, Namhoon, Youdan Kim, and Sanghyuk Park. "Three-Dimensional Nonlinear Differential Geometric Path-Following Guidance Law." Journal of Guidance, Control, and Dynamics 38, no. 12 (2015): 2366–85. http://dx.doi.org/10.2514/1.g001060.

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Chen, Jian, Qilun Zhao, Zixuan Liang, Peng Li, Zhang Ren, and Yongjun Zheng. "Fractional Calculus Guidance Algorithm in a Hypersonic Pursuit-Evasion Game." Defence Science Journal 67, no. 6 (2017): 688. http://dx.doi.org/10.14429/dsj.67.10897.

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<p class="p1">Aiming at intercepting a hypersonic weapon in a hypersonic pursuit-evasion game, this paper presents a fractional calculus guidance algorithm based on a nonlinear proportional and differential guidance law. First, under the premise of without increasing the complexity degree of the guidance system against a hypersonic manoeuvering target, the principle that the differential signal of the line-of-sight rate is more sensitive to the target manoeuver than the line-of-sight rate is employed as the guidelines to design the guidance law. A nonlinear proportional and differential
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Su, Mao, Lei Liu, and Yongji Wang. "Integrated Estimation/Guidance Law against Exoatmospheric Maneuvering Targets." Complexity 2018 (December 10, 2018): 1–19. http://dx.doi.org/10.1155/2018/7470823.

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An integrated guidance integrated estimation/guidance law is designed for exoatmospheric interceptors equipped with divert thrusters and optical seekers to intercept maneuvering targets. This paper considers an angles-only guidance problem for exoatmospheric maneuvering targets. A bounded differential game-based guidance law is derived against maneuvering targets using zero-effort-miss (ZEM). Estimators based the extended Kalman filter (EKF) and the unscented Kalman filter (UKF) are designed to estimate LOS rates that are contaminated by noise and target maneuver. Furthermore, to improve the o
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Cho, Namhoon, Youdan Kim, and Sanghyuk Park. "Three-Dimensional Nonlinear Path-Following Guidance Law Based on Differential Geometry." IFAC Proceedings Volumes 47, no. 3 (2014): 2503–8. http://dx.doi.org/10.3182/20140824-6-za-1003.00171.

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He, Fan, Weiyi Chen, and Yang Bao. "Predictive Differential Game Guidance Approach for Hypersonic Target Interception Based on CQPSO." International Journal of Aerospace Engineering 2022 (May 2, 2022): 1–14. http://dx.doi.org/10.1155/2022/6050640.

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In the descent phase of the hypersonic target flight trajectory, the hypersonic speed of the target makes the reaction time shorter. Due to overload restrictions, it is challenging for the interceptor to achieve successful interception. To address this problem, a predictive differential game guidance approach based on dynamic optimization algorithm is proposed to relax the interceptor acceleration requirements. Two-dimensional kinematics and dynamics engagement mode for hypersonic target interception is formulated as a nonlinear differential control model in the presence of matched uncertainti
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Li, Ke-Bo, Wen-Shan Su, and Lei Chen. "Performance analysis of differential geometric guidance law against high-speed target with arbitrarily maneuvering acceleration." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 10 (2018): 3547–63. http://dx.doi.org/10.1177/0954410018801218.

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The interception of high-speed target with an arbitrary maneuvering acceleration causes serious troubles to the guidance and control system design of airborne missile. A novel guidance law based on the classical differential geometry curve theory was proposed not long ago. Although it is believed and numerically demonstrated that this differential geometric guidance law (DGGL) is superior to the classical pure proportional navigation (PPN) in intercepting high-speed targets, its performance has not been thoroughly analyzed. In this paper, using the Lyapunov-like approach, the performance of DG
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Wu, Gang, and Ke Zhang. "A Novel Guidance Law for Intercepting a Highly Maneuvering Target." International Journal of Aerospace Engineering 2021 (December 10, 2021): 1–19. http://dx.doi.org/10.1155/2021/2326323.

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Given the resolution of the guidance for intercepting highly maneuvering targets, a novel finite-time convergent guidance law is proposed, which takes the following conditions into consideration, including the impact angle constraint, the guidance command input saturation constraint, and the autopilot second-order dynamic characteristics. Firstly, based on the nonsingular terminal sliding mode control theory, a finite-time convergent nonsingular terminal sliding mode surface is designed. On the back of the backstepping control method, the virtual control law appears. A nonlinear first-order fi
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Zhang, Dong, Xiujuan Li, and Xiao Han. "Research on Guidance and Control Method of Hypersonic UAV Capture Segment Based on Overload." Journal of Physics: Conference Series 2216, no. 1 (2022): 012042. http://dx.doi.org/10.1088/1742-6596/2216/1/012042.

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Abstract With the implementation of China’s high supersonic aircraft science and technology engineering and the key basic scientific problems of near space vehicles major research programs.In this context, China is also vigorously developing high-speed high-mobility, long range and recyclable aircraft. In view of the tracking problem of a hypersonic vehicle when it reaches the capture segment, a mathod based on overload guidance law is proposed. The relationship between force and head-on angle can be deduced from the relationship between overload and head-on angle, thus transforming the overlo
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Dissertations / Theses on the topic "Nonlinear Differential Guidance Law"

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Carr, Christopher G. "Space charge-limited emission studies using Coulomb's Law." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2004. http://library.nps.navy.mil/uhtbin/hyperion/04Jun%5FCarr.pdf.

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Tiwari, Ganesh. "Numerical Analysis of Non-Fickian Diffusion with a General Source." ScholarWorks@UNO, 2013. http://scholarworks.uno.edu/honors_theses/49.

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The inadequacy of Fick’s law to incorporate causality can be overcome by replacing it with the Green–Naghdi type II (GNII) flux relation. Combining the GNII assumption and conservation of mass leads to [see document for equation] where r (x, t) is the density function, S(p) is a source term and c¥ is a positive constant which carries (SI) units of m/sec. A general source term given by [see document for equation] is proposed. Here, the constants y and ps are the rate coefficient and saturation density respectively. The travelling wave solutions and numerical analysis of four special cases of e
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Anisi, David A. "Online trajectory planning and observer based control." Licentiate thesis, Stockholm : Optimization and systems theory, Royal Institute of Technology, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4153.

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Anisi, David A. "On Cooperative Surveillance, Online Trajectory Planning and Observer Based Control." Doctoral thesis, KTH, Optimeringslära och systemteori, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9990.

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The main body of this thesis consists of six appended papers. In the  first two, different  cooperative surveillance problems are considered. The second two consider different aspects of the trajectory planning problem, while the last two deal with observer design for mobile robotic and Euler-Lagrange systems respectively.In Papers A and B,  a combinatorial optimization based framework to cooperative surveillance missions using multiple Unmanned Ground Vehicles (UGVs) is proposed. In particular, Paper A  considers the the Minimum Time UGV Surveillance Problem (MTUSP) while Paper B treats the C
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Novák, Jiří. "Návrh autopilota a letových řídících módů v prostředí Simulink." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-416616.

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Tato diplomová práce je zaměřena na vývoj simulačního prostředí v Matlab/Simulink zvoleného letadla ve známém letovém režimu. Pozice a orientace letadla pohybujícího se ve vzduchu je popsána pohybovými rovnicemi se šesti stup\v{n}i volnosti. Soustava translačních, rotačních a kinematických rovnic tvoří soustavu devíti nelineárních diferenciálních rovnic prvního řádu. Tyto rovnice lze linearizovat okolo nějakého rovnovážného stavu, který budeme nazývat letovým režimem. Součástí simulačního prostředí je řídící systém letadla založený na PID regulaci. Základem je návrh autopilota, který řídí úhel
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Bardhan, Rajarshi. "Differential Games Guidance Laws for Aerospace Applications." Thesis, 2015. http://etd.iisc.ac.in/handle/2005/3889.

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This thesis addresses several aerospace guidance and decision making problems using both no cooperative and cooperative game theoretical solution concepts in the differential games framework. In the first part of the thesis, state dependent Riccati equation (SDRE) method has been extended to a zero-sum nonlinear differential games setting. This framework is used to study problems of intercepting a manoeuvring target, with and without terminal impact angle constraints, in the zero-sum differential games theory perspective. The guidance laws derived according to the proposed method are in closed
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Bardhan, Rajarshi. "Differential Games Guidance Laws for Aerospace Applications." Thesis, 2015. http://etd.iisc.ernet.in/2005/3889.

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This thesis addresses several aerospace guidance and decision making problems using both no cooperative and cooperative game theoretical solution concepts in the differential games framework. In the first part of the thesis, state dependent Riccati equation (SDRE) method has been extended to a zero-sum nonlinear differential games setting. This framework is used to study problems of intercepting a manoeuvring target, with and without terminal impact angle constraints, in the zero-sum differential games theory perspective. The guidance laws derived according to the proposed method are in closed
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Raghunathan, T. "Differential Evolution Based Interceptor Guidance Law." Thesis, 2011. https://etd.iisc.ac.in/handle/2005/2014.

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Kinematics based guidance laws like the proportional navigation (PN) and many other linear optimal guidance laws perform well in near-collision course conditions. These have been studied thoroughly in the literature from all aspects, ranging from optimality to capturability, for planar or two dimensional interceptor-target engagements, and to a lesser extent, for three dimensional engagements. But guidance in widely off-collision course conditions like high initial heading errors has been relatively less studied. This is probably due to the inherently high nonlinearity of the problem, which ma
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Raghunathan, T. "Differential Evolution Based Interceptor Guidance Law." Thesis, 2011. http://etd.iisc.ernet.in/handle/2005/2014.

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Kinematics based guidance laws like the proportional navigation (PN) and many other linear optimal guidance laws perform well in near-collision course conditions. These have been studied thoroughly in the literature from all aspects, ranging from optimality to capturability, for planar or two dimensional interceptor-target engagements, and to a lesser extent, for three dimensional engagements. But guidance in widely off-collision course conditions like high initial heading errors has been relatively less studied. This is probably due to the inherently high nonlinearity of the problem, which ma
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Lin, Guan-wun, and 林冠彣. "Nonlinear Guidance Law Design of Unmanned Surface Vessels." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/71938287186857660902.

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碩士<br>國立雲林科技大學<br>電機工程系碩士班<br>101<br>Guidance law designs of autonomous unmanned surface vessel (AUSV) design for ocean environment survey is as important as missions of autonomous vehicles, and unmanned aerial vehicles (UAV). As the reason depicted, the unmanned surface vessel can be sailed under harsh climates to execute missions of ocean data collection or resource exploration where the place that humans can’t reach easily and it can be furthermore apply to purposes of coastal security and rescue of human life. The guidance and control design of AUSV is entirely different to autonomous road
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Books on the topic "Nonlinear Differential Guidance Law"

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United States. National Aeronautics and Space Administration., ed. Parameter identification for nonlinear aerodynamic systems: First annual (second semiannual) technical report to the Aircraft Guidance and Controls Branch/489, Guidance and Control Division, National Aeronautics and Space Administration, Langley Research Center ... period covered, October 23, 1989 to October 22, 1990. The Administration, 1990.

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United States. National Aeronautics and Space Administration., ed. Nonlinear feedback guidance law for aero-assisted orbit transfer maneuvers: Final report prepared for NASA Langley Research Center ... Georgia Institute of Technology, School of Aerospace Engineering, 1992.

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Parameter identification for nonlinear aerodynamic systems: Final technical report to the Aircraft Guidance and Controls Branch/489, Guidance and Control Division, National Aeronautics and Space Administration, Langley Research Center ... period covered, October 23, 1989 to February 28, 1993. The Administration, 1993.

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Book chapters on the topic "Nonlinear Differential Guidance Law"

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Yang, Dan, and Liang Qiu. "Adaptive Nonlinear Guidance Law Considering Autopilot Dynamics." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25661-5_2.

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Wang, Han, and Zheng Chen. "Numerical Study of Nonlinear Optimal Guidance Law." In Proceedings of 2021 International Conference on Autonomous Unmanned Systems (ICAUS 2021). Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9492-9_187.

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Nohel, J. A. "A Nonlinear Conservation Law with Memory." In Volterra and Functional Differential Equations. CRC Press, 2023. http://dx.doi.org/10.1201/9781003420026-8.

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Málek, Josef. "Global Analysis for the Fluids of a Power-Law Type." In Differential Equations and Nonlinear Mechanics. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4613-0277-3_16.

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Tan, Minghu, and Hong Shen. "The Differential Game Cooperative Guidance Law for the Single Target." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-6613-2_188.

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Dong, Wei, Haiqing Li, Chunyan Wang, Jianan Wang, and Jiayuan Shan. "Nonlinear Impact Angle Constrained Guidance Law Design via the SDRE Method." In Lecture Notes in Electrical Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-8155-7_102.

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Zhang, Jiaqiang, Wangxi Li, Duo Qi, Xiaolong Liang, and Baoxiang Ren. "Differential-Game Based Cooperative Guidance Law Against Maneuvering Target at All Costs." In Lecture Notes in Electrical Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-8155-7_361.

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Liu, Yuanhe, Kebo Li, Xuesheng Qin, and Yan’gang Liang. "Guidance Law Design for Varying-Speed Missile Based on Classic Differential Geometric Principle." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-6613-2_443.

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Zhao, Hui, Cheng Xu, Hehong Qin, Hao Wang, and Ying Hu. "Novel Terminal Guidance Law for Blended Aero and Reaction-Jet Missile Based on Nonlinear Disturbance Observer." In Proceedings of 2021 International Conference on Autonomous Unmanned Systems (ICAUS 2021). Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9492-9_13.

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Epstein, Irving R., and John A. Pojman. "Delays and Differential Delay Equations." In An Introduction to Nonlinear Chemical Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195096705.003.0016.

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Mathematically speaking, the most important tools used by the chemical kineticist to study chemical reactions like the ones we have been considering are sets of coupled, first-order, ordinary differential equations that describe the changes in time of the concentrations of species in the system, that is, the rate laws derived from the Law of Mass Action. In order to obtain equations of this type, one must make a number of key assumptions, some of which are usually explicit, others more hidden. We have treated only isothermal systems, thereby obtaining polynomial rate laws instead of the transcendental expressions that would result if the temperature were taken as a variable, a step that would be necessary if we were to consider thermochemical oscillators (Gray and Scott, 1990), for example, combustion reactions at metal surfaces. What is perhaps less obvious is that our equations constitute an average over quantum mechanical microstates, allowing us to employ a relatively small number of bulk concentrations as our dependent variables, rather than having to keep track of the populations of different states that react at different rates. Our treatment ignores fluctuations, so that we may utilize deterministic equations rather than a stochastic or a master equation formulation (Gardiner, 1990). Whenever we employ ordinary differential equations, we are making the approximation that the medium is well mixed, with all species uniformly distributed; any spatial gradients (and we see in several other chapters that these can play a key role) require the inclusion of diffusion terms and the use of partial differential equations. All of these assumptions or approximations are well known, and in all cases chemists have more elaborate techniques at their disposal for treating these effects more exactly, should that be desirable. Another, less widely appreciated idealization in chemical kinetics is that phenomena take place instantaneously—that a change in [A] at time t generates a change in [B] time t and not at some later time t + τ. On a microscopic level, it is clear that this state of affairs cannot hold.
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Conference papers on the topic "Nonlinear Differential Guidance Law"

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He, Min, and Xiaofang Wang. "Nonlinear Differential Game Guidance Law for Guarding a Target." In 2020 6th International Conference on Control, Automation and Robotics (ICCAR). IEEE, 2020. http://dx.doi.org/10.1109/iccar49639.2020.9108001.

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Raghunathan Thangavelu and S. Pradeep. "A differential evolution tuned optimal guidance law." In 2007 Mediterranean Conference on Control & Automation. IEEE, 2007. http://dx.doi.org/10.1109/med.2007.4433680.

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Abdin, Hesham A., and Hany M. Arnaoot. "Various Forms to Enhance Differential Geometry Guidance Law." In 2022 International Telecommunications Conference (ITC-Egypt). IEEE, 2022. http://dx.doi.org/10.1109/itc-egypt55520.2022.9855711.

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Viswanath, Devan, and Dipankar Deb. "A new nonlinear guidance law formulation for proportional navigation guidance." In 2012 12th International Workshop on Variable Structure Systems (VSS 2012). IEEE, 2012. http://dx.doi.org/10.1109/vss.2012.6163500.

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Huang, Jingshuai, Hongbo Zhang, Guojian Tang, and Weimin Bao. "Extended differential geometric guidance law with extended state observer." In 2017 8th International Conference on Mechanical and Aerospace Engineering (ICMAE). IEEE, 2017. http://dx.doi.org/10.1109/icmae.2017.8038724.

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Thangavelu, Raghunathan, and S. Pradeep. "An online implementable differential evolution tuned optimal guidance law." In the 9th annual conference. ACM Press, 2007. http://dx.doi.org/10.1145/1276958.1277378.

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Menon, P., and G. Chatterji. "Differential game based guidance law for high angle of attack missiles." In Guidance, Navigation, and Control Conference. American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-3835.

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Liang Hongwei and Ma Baoli. "A nonlinear adaptive guidance law for missile interceptions." In 2008 Chinese Control Conference (CCC). IEEE, 2008. http://dx.doi.org/10.1109/chicc.2008.4605316.

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Chen, Yung-Yue, Guan-Wun Lin, and Wei-Min Hu. "Nonlinear guidance law design Of unmanned surface vessels." In 2014 11th IEEE International Conference on Control & Automation (ICCA). IEEE, 2014. http://dx.doi.org/10.1109/icca.2014.6870894.

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Saleem, Abdul, and Ashwini Ratnoo. "A nonlinear guidance law for impact time control." In 2015 American Control Conference (ACC). IEEE, 2015. http://dx.doi.org/10.1109/acc.2015.7170809.

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Reports on the topic "Nonlinear Differential Guidance Law"

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Sparks, Paul, Jesse Sherburn, William Heard, and Brett Williams. Penetration modeling of ultra‐high performance concrete using multiscale meshfree methods. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41963.

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Terminal ballistics of concrete is of extreme importance to the military and civil communities. Over the past few decades, ultra‐high performance concrete (UHPC) has been developed for various applications in the design of protective structures because UHPC has an enhanced ballistic resistance over conventional strength concrete. Developing predictive numerical models of UHPC subjected to penetration is critical in understanding the material's enhanced performance. This study employs the advanced fundamental concrete (AFC) model, and it runs inside the reproducing kernel particle method (RKPM)
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