Academic literature on the topic 'Geometric nonlinear control'
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Journal articles on the topic "Geometric nonlinear control"
Alvarez, Jesus, Teresa Lopez, and Eduardo Hernandez. "Robust Geometric Nonlinear Control of Process Systems." IFAC Proceedings Volumes 33, no. 10 (June 2000): 395–400. http://dx.doi.org/10.1016/s1474-6670(17)38572-5.
Full textBrockett, Roger. "The early days of geometric nonlinear control." Automatica 50, no. 9 (September 2014): 2203–24. http://dx.doi.org/10.1016/j.automatica.2014.06.010.
Full textMAIDI, Ahmed, and Jean Pierre CORRIOU. "Boundary Geometric Control of Nonlinear Diffusion Systems." IFAC Proceedings Volumes 46, no. 26 (2013): 49–54. http://dx.doi.org/10.3182/20130925-3-fr-4043.00016.
Full textWu, Shu Jing, Da Zhong Wang, and Shigenori Okubo. "Control for Nonlinear Chemical System." Key Engineering Materials 467-469 (February 2011): 1450–55. http://dx.doi.org/10.4028/www.scientific.net/kem.467-469.1450.
Full textMIROSHNIK, Iliya V. "PARTIAL STABILIZATION AND GEOMETRIC PROBLEMS OF NONLINEAR CONTROL." IFAC Proceedings Volumes 35, no. 1 (2002): 151–56. http://dx.doi.org/10.3182/20020721-6-es-1901.00275.
Full textElkin, V. I. "Geometric Theory of Reduction of Nonlinear Control Systems." Computational Mathematics and Mathematical Physics 58, no. 2 (February 2018): 155–58. http://dx.doi.org/10.1134/s0965542518020045.
Full textBell, D. "Algebraic and geometric methods in nonlinear control theory." Automatica 24, no. 4 (July 1988): 586–87. http://dx.doi.org/10.1016/0005-1098(88)90105-7.
Full textBurstein, Gabriel. "Algebraic and geometric methods in nonlinear control theory." Acta Applicandae Mathematicae 11, no. 2 (February 1988): 177–91. http://dx.doi.org/10.1007/bf00047286.
Full textKravaris, Costas, and Jeffrey C. Kantor. "Geometric methods for nonlinear process control. 1. Background." Industrial & Engineering Chemistry Research 29, no. 12 (December 1990): 2295–310. http://dx.doi.org/10.1021/ie00108a001.
Full textChen, Yahao, and Witold Respondek. "Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory." Journal of Differential Equations 314 (March 2022): 161–200. http://dx.doi.org/10.1016/j.jde.2022.01.008.
Full textDissertations / Theses on the topic "Geometric nonlinear control"
Altafini, Claudio. "Geometric control methods for nonlinear systems and robotic applications." Doctoral thesis, Stockholm : Tekniska högsk, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3151.
Full textNelson, Richard J. (Richard Joseph). "Geometric control of quantum mechanical and nonlinear classical systems." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/80595.
Full textDore, Shaun David. "Application of geometric nonlinear control in the process industries : a case study." Thesis, Imperial College London, 1993. http://hdl.handle.net/10044/1/7398.
Full textChen, Yahao. "Geometric analysis of differential-algebraic equations and control systems : linear, nonlinear and linearizable." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMIR04.
Full textIn the first part of this thesis, we study linear differential-algebraic equations (shortly, DAEs) and linear control systems given by DAEs (shortly, DAECSs). The discussed problems and obtained results are summarized as follows. 1. Geometric connections between linear DAEs and linear ODE control systems ODECSs. We propose a procedure, named explicitation, to associate a linear ODECS to any linear DAE. The explicitation of a DAE is a class of ODECSs, or more precisely, an ODECS defined up to a coordinates change, a feedback transformation and an output injection. Then we compare the Wong sequences of a DAE with invariant subspaces of its explicitation. We prove that the basic canonical forms, the Kronecker canonical form KCF of linear DAEs and the Morse canonical form MCF of ODECSs, have a perfect correspondence and their invariants (indices and subspaces) are related. Furthermore, we define the internal equivalence of two DAEs and show its difference with the external equivalence by discussing their relations with internal regularity, i.e., the existence and uniqueness of solutions. 2. Transform a linear DAECS into its feedback canonical form via the explicitation with driving variables. We study connections between the feedback canonical form FBCF of DAE control systems DAECSs proposed in the literature and the famous Morse canonical form MCF of ODECSs. In order to connect DAECSs with ODECSs, we use a procedure named explicitation (with driving variables). This procedure attaches a class of ODECSs with two kinds of inputs (the original control input and the vector of driving variables) to a given DAECS. On the other hand, for classical linear ODECSs (without driving variables), we propose a Morse triangular form MTF to modify the construction of the classical MCF. Based on the MTF, we propose an extended MTF and an extended MCF for ODECSs with two kinds of inputs. Finally, an algorithm is proposed to transform a given DAECS into its FBCF. This algorithm is based on the extended MCF of an ODECS given by the explication procedure. Finally, a numerical example is given to show the structure and efficiency of the proposed algorithm. For nonlinear DAEs and DAECSs (of quasi-linear form), we study the following problems: 3. Explicitations, external and internal analysis, and normal forms of nonlinear DAEs. We generalize the two explicitation procedures (with or without driving variable) proposed in the linear case for nonlinear DAEs of quasi-linear form. The purpose of these two explicitation procedures is to associate a nonlinear ODECS to any nonlinear DAE such that we can use the classical nonlinear ODE control theory to analyze nonlinear DAEs. We discuss differences of internal and external equivalence of nonlinear DAEs by showing their relations with the existence and uniqueness of solutions (internal regularity). Then we show that the internal analysis of nonlinear DAEs is closely related to the zero dynamics in the classical nonlinear control theory. Moreover, we show relations of DAEs of pure semi-explicit form with the two explicitation procedures. Furthermore, a nonlinear generalization of the Weierstrass form WE is proposed based on the zero dynamics of a nonlinear ODECS given by the explicitation procedure
Calvet, Jean-Paul. "A differential geometric approach for the nominal and robust control of nonlinear chemical processes." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/21596.
Full textKam, Kiew M. "Simulation and implementation of nonlinear control systems for mineral processes." Thesis, Curtin University, 2000. http://hdl.handle.net/20.500.11937/2383.
Full textKam, Kiew M. "Simulation and implementation of nonlinear control systems for mineral processes." Curtin University of Technology, School of Chemical Engineering, 2000. http://espace.library.curtin.edu.au:80/R/?func=dbin-jump-full&object_id=10063.
Full textnonlinear control structures that are simple and computationally efficient have been proposed for enhancing the performance of geometric nonlinear controllers in the presence of plant/model mismatch and/or external disturbances. The robust nonlinear control structures are based on model error compensation methods. Robustness properties of the proposed robust nonlinear control structures on the evaporator system were investigated through computer simulations and the results indicated improved performance over the implemented geometric nonlinear controller in terms of model uncertainty and disturbance reductions.A software package was developed in MAPLE computing environment for the analysis of nonlinear processes and the design of geometric nonlinear controllers. This developed symbolic package is useful for obtaining fast and exact solutions for the analysis and design of nonlinear control systems. Procedures were also developed to simulate the geometric nonlinear control systems. It was found that MAPLE, while it is superior for the analyses and designs, is not viable for simulations of nonlinear control systems. This was due to limitation of MAPLE on the physical, or virtual, memory management. The use of both symbolic and numeric computation for solutions of nonlinear control system analysis, design and simulation is recommended.To sum up, geometric nonlinear controllers have been designed for an industrial multiple stage evaporator system and their simplicity, practicality, feasibility and superiority for industrial control practices have been demonstrated either through computer simulations or real-time implementation. It is hoped that the insights provided in this thesis will encourage more industry-based projects in nonlinear control, and thereby assist in closing the widening gap between academic nonlinear control theory and industrial control ++
practice.Keywords: geometric nonlinear control, input-output linearization, multiple stage evaporator, robust geometric nonlinear control, control performance enhancement.
Li, Yongfeng. "Nonlinear oscillation and control in the BZ chemical reaction." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/26565.
Full textCommittee Chair: Yi, Yingfei; Committee Member: Chow, Shui-Nee; Committee Member: Dieci, Luca; Committee Member: Verriest, Erik; Committee Member: Weiss, Howie. Part of the SMARTech Electronic Thesis and Dissertation Collection.
Park, Song Won. "Aplicação de controladores geométricos não-lineares em processos químicos." Universidade de São Paulo, 1995. http://www.teses.usp.br/teses/disponiveis/3/3137/tde-10102017-092846/.
Full textFor the geometric nonlinear control approach, the controller synthesis is elaborated directly from the nonlinear dynamics state space description of the process. This work concerns the application of the main concepts and formalisms of the geometric nonlinear control theory to typical multivariable (MIMO) chemical engineering process as illustrative case studies: the continuous nonlinear control of the distillation column and the discrete nonlinear control of the fluid catalytic cracking unit. The synthesis and the project issues of the nonlinear controller are focused separately. The controller project has the practical importance for the industrial controller applications. This work applies the methodologies to approach the following issues for the MIMO applications of the geometric nonlinear control: (a) to detune the internal nonlinear decoupling controller; (b) to define the external controller as linear pole-placement controllers with Hurwitz coefficients; (c) to include the integral action with anti-reset windup on this external controllers and (d) to define the dynamics of the external setpoints.
Furieri, Luca. "Geometric versus Model Predictive Control based guidance algorithms for fixed-wing UAVs in the presence of very strong wind fields." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/11872/.
Full textBooks on the topic "Geometric nonlinear control"
Nonlinear control design: Geometric, adaptive, and robust. London: Prentice Hall, 1995.
Find full textFliess, M., and M. Hazewinkel, eds. Algebraic and Geometric Methods in Nonlinear Control Theory. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4706-1.
Full textElkin, V. I. Reduction of nonlinear control systems: A differential geometric approach. Dordrecht: Kluwer Academic Publishers, 1999.
Find full textElkin, V. I. Reduction of nonlinear control systems: A differential geometric approach. Dordrecht: Springer-Science+Business Media, 1999.
Find full textGeometric, control, and numerical aspects of nonholonomic systems. Berlin: Springer, 2002.
Find full textNijmeijer, H. Nonlinear dynamical control systems. 3rd ed. New York: Springer, 1996.
Find full textNijmeijer, H. Nonlinear dynamical control systems. New York: Springer-Verlag, 1990.
Find full textHyperbolic partial differential equations and geometric optics. Providence, R.I: American Mathematical Society, 2012.
Find full textHuijberts, H. J. C. Dynamic feedback in nonlinear synthesis problems. Amsterdam, Netherlands: Centrum voor Wiskunde en Informatica, 1994.
Find full textBook chapters on the topic "Geometric nonlinear control"
Corriou, Jean-Pierre. "Nonlinear Geometric Control." In Process Control, 681–724. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61143-3_17.
Full textCorriou, Jean-Pierre. "Nonlinear Geometric Control." In Process Control, 619–56. London: Springer London, 2004. http://dx.doi.org/10.1007/978-1-4471-3848-8_17.
Full textSastry, Shankar. "Geometric Nonlinear Control." In Interdisciplinary Applied Mathematics, 510–73. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4757-3108-8_11.
Full textIsidori, Alberto. "Geometric Theory of State Feedback: Tools." In Nonlinear Control Systems, 289–343. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-02581-9_6.
Full textIsidori, Alberto. "Geometric Theory of State Feedback: Applications." In Nonlinear Control Systems, 344–401. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-02581-9_7.
Full textIsidori, Alberto. "Geometric Theory of State Feedback: Tools." In Nonlinear Control Systems, 293–338. London: Springer London, 1995. http://dx.doi.org/10.1007/978-1-84628-615-5_6.
Full textIsidori, Alberto. "Geometric Theory of Nonlinear Systems: Applications." In Nonlinear Control Systems, 339–86. London: Springer London, 1995. http://dx.doi.org/10.1007/978-1-84628-615-5_7.
Full textNijmeijer, Henk, and Arjan van der Schaft. "The Input-Output Decoupling Problem: Geometric Considerations." In Nonlinear Dynamical Control Systems, 251–72. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4757-2101-0_9.
Full textKrener, A. J. "Differential Geometric Methods in Nonlinear Control." In Encyclopedia of Systems and Control, 275–84. London: Springer London, 2015. http://dx.doi.org/10.1007/978-1-4471-5058-9_80.
Full textKrener, A. J. "Differential Geometric Methods in Nonlinear Control." In Encyclopedia of Systems and Control, 1–14. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-5102-9_80-1.
Full textConference papers on the topic "Geometric nonlinear control"
Tar, Jozsef K., and Imre J. Rudas. "Geometric Approach to Nonlinear Adaptive Control." In >2007 4th International Symposium on Applied Computational Intelligence and Informatics. IEEE, 2007. http://dx.doi.org/10.1109/saci.2007.375477.
Full textLi, Yubo, Yongqiang Cheng, Xiang Li, Hongqiang Wang, Xiaoqiang Hua, and Yuliang Qin. "Information geometric approach for nonlinear filtering." In 2017 36th Chinese Control Conference (CCC). IEEE, 2017. http://dx.doi.org/10.23919/chicc.2017.8027514.
Full textFeiler, Matthias J. "Global nonlinear control: A new geometric aspect." In 2008 American Control Conference (ACC '08). IEEE, 2008. http://dx.doi.org/10.1109/acc.2008.4586745.
Full textMenon, P. K. "Differential Geometric Estimators for Nonlinear Dynamic Systems." In AIAA Guidance, Navigation and Control Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-7393.
Full textTunali, E., and T. Tarn. "Identifiability of nonlinear systems: A geometric approach." In 1985 24th IEEE Conference on Decision and Control. IEEE, 1985. http://dx.doi.org/10.1109/cdc.1985.268890.
Full textAndrianov, Serge N., and Nikolai S. Edamenko. "Geometric integration of nonlinear dynamical systems." In 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP). IEEE, 2015. http://dx.doi.org/10.1109/scp.2015.7342048.
Full textHassan, Ahmed M., and Haitham E. Taha. "Geometric Nonlinear Controllability Analysis for Airplane Flight Dynamics." In AIAA Guidance, Navigation, and Control Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-0079.
Full textGuay, M., N. Hudon, and K. Hoffner. "Geometric decomposition and potential-based representation of nonlinear systems." In 2013 American Control Conference (ACC). IEEE, 2013. http://dx.doi.org/10.1109/acc.2013.6580149.
Full textMeskin, N., T. Jiang, E. Sobhani, K. Khorasani, and C. A. Rabbath. "Nonlinear Geometric Approach to Fault Detection and Isolation in an Aircraft Nonlinear Longitudinal Model." In 2007 American Control Conference. IEEE, 2007. http://dx.doi.org/10.1109/acc.2007.4282876.
Full textMujumdar, Anusha, and Radhakant Padhi. "Nonlinear Geometric Guidance and Di®erential Geometric Guidance of UAVs for Reactive Collision Avoidance." In AIAA Guidance, Navigation, and Control Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-8315.
Full textReports on the topic "Geometric nonlinear control"
Zhao, Feng. Practical Control Algorithms for Nonlinear Dynamical Systems Using Phase-Space Knowledge and Mixed Numeric and Geometric Computation. Fort Belvoir, VA: Defense Technical Information Center, October 1997. http://dx.doi.org/10.21236/ada330093.
Full textZhao, Feng. Practical Control Algorithms for Nonlinear Dynamical Systems Using Phase-Space Knowledge and Mixed Numeric and Geometric Computation. Fort Belvoir, VA: Defense Technical Information Center, September 1998. http://dx.doi.org/10.21236/ada353610.
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