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1

Coutinho, D. F., A. Trofino, and M. Fu. "NONLINEAR H-INFINITY CONTROL: AN LMI APPROACH." IFAC Proceedings Volumes 35, no. 1 (2002): 91–96. http://dx.doi.org/10.3182/20020721-6-es-1901.00350.

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2

Rigatos, Gerasimos, Pierluigi Siano, and Sul Ademi. "Nonlinear H-infinity control for switched reluctance machines." Nonlinear Engineering 9, no. 1 (2019): 14–27. http://dx.doi.org/10.1515/nleng-2017-0114.

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AbstractThe article proposes a nonlinear H-infinity control method for switched reluctance machines. The dynamic model of the switched reluctance machine undergoes approximate linearization round local operating points which are redefined at each iteration of the control algorithm. These temporary equilibria consist of the last value of the reluctance machine’s state vector and of the last value of the control signal that was exerted on it. For the approximate linearization of the reluctance machine’s dynamics, Taylor series expansion is performed through the computation of the associated Jaco
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3

Wise, Kevin A., and Jack L. Sedwick. "Nonlinear H-infinity optimal control for agile missiles." Journal of Guidance, Control, and Dynamics 19, no. 1 (1996): 157–65. http://dx.doi.org/10.2514/3.21593.

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4

Ali, Hazem Ibrahim, and Ali Hassan Mhmood. "Nonlinear H-Infinity Model Reference Controller Design." International Review of Automatic Control (IREACO) 14, no. 1 (2021): 39. http://dx.doi.org/10.15866/ireaco.v14i1.20301.

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5

Rigatos, Gerasimos, Pierluigi Siano, and Patrice Wira. "Nonlinear H-infinity control of multi-phase electric machines." IFAC-PapersOnLine 49, no. 27 (2016): 109–15. http://dx.doi.org/10.1016/j.ifacol.2016.10.728.

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6

Huang, Jie, and Ching-Fang Lin. "Numerical approach to computing nonlinear H-infinity control laws." Journal of Guidance, Control, and Dynamics 18, no. 5 (1995): 989–94. http://dx.doi.org/10.2514/3.21495.

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7

Rigatos, Gerasimos, Pierluigi Siano, and Masoud Abbaszadeh. "Nonlinear H-infinity control for 4-DOF underactuated overhead cranes." Transactions of the Institute of Measurement and Control 40, no. 7 (2017): 2364–77. http://dx.doi.org/10.1177/0142331217703702.

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The article proposes a nonlinear H-infinity control method for four degrees of freedom underactuated overhead cranes. The crane’s system is underactuated because it receives only two external inputs, namely a force that allows the motion of the bridge along the x-axis and a force that allows the motion of the trolley along the y-axis. A solution to the control problem of this underactuated system is obtained by applying nonlinear H-infinity control. The dynamic model of the overhead crane undergoes approximate linearization round local operating points which are redefined at each iteration of
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8

Dalsmo, Morten, and Olav Egeland. "Tracking of Rigid Body Motion via Nonlinear H-Infinity Control." IFAC Proceedings Volumes 29, no. 1 (1996): 2271–76. http://dx.doi.org/10.1016/s1474-6670(17)58011-8.

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9

Soares Longhi, Luís Gustavo, Argimiro Resende Secchi, Jorge Otávio Trierweiler, and Enrique Luis Lima. "A Possible Approach to Solve Nonlinear H-Infinity Control Problem." IFAC Proceedings Volumes 33, no. 10 (2000): 887–92. http://dx.doi.org/10.1016/s1474-6670(17)38652-4.

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10

Hong, Yiguang, and Hongyi Li. "Nonlinear H infinity control and related problems of homogeneous systems." International Journal of Control 71, no. 1 (1998): 79–92. http://dx.doi.org/10.1080/002071798221939.

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11

Ball, J. A., J. W. Helton, and M. L. Walker. "H/sup infinity / control for nonlinear systems with output feedback." IEEE Transactions on Automatic Control 38, no. 4 (1993): 546–59. http://dx.doi.org/10.1109/9.250523.

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12

Rigatos, Gerasimos, Pierluigi Siano, Patrice Wira, Alejandro del Real, and Giuseppe Altieri. "Optimization of olive-oil extraction using nonlinear H-infinity control." IFAC-PapersOnLine 51, no. 32 (2018): 439–44. http://dx.doi.org/10.1016/j.ifacol.2018.11.424.

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13

Zhao, Shengzhi, and Jun Zhao. "H-infinity control for cascade minimum-phase switched nonlinear systems." Journal of Control Theory and Applications 3, no. 2 (2005): 163–67. http://dx.doi.org/10.1007/s11768-005-0010-9.

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14

Rigatos, Gerasimos, Pierluigi Siano, and Guilherme Raffo. "An H-infinity nonlinear control approach for multi-DOF robotic manipulators." IFAC-PapersOnLine 49, no. 12 (2016): 1406–11. http://dx.doi.org/10.1016/j.ifacol.2016.07.766.

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15

Rigatos, G., P. Siano, M. Abbaszadeh, S. Ademi, and A. Melkikh. "Nonlinear H-infinity control for underactuated systems: the Furuta pendulum example." International Journal of Dynamics and Control 6, no. 2 (2017): 835–47. http://dx.doi.org/10.1007/s40435-017-0348-0.

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16

Rigatos, G., P. Siano, P. Wira, and F. Profumo. "Nonlinear H-infinity Feedback Control for Asynchronous Motors of Electric Trains." Intelligent Industrial Systems 1, no. 2 (2015): 85–98. http://dx.doi.org/10.1007/s40903-015-0020-y.

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17

Rigatos, G., P. Siano, P. Wira, K. Busawon, and R. Binns. "A Nonlinear H-Infinity Control Approach for Three-Phase Voltage Inverters." Intelligent Industrial Systems 3, no. 2 (2017): 129–42. http://dx.doi.org/10.1007/s40903-017-0076-y.

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18

Rigatos, G., P. Siano, and G. Raffo. "A nonlinear H-infinity control method for multi-DOF robotic manipulators." Nonlinear Dynamics 88, no. 1 (2016): 329–48. http://dx.doi.org/10.1007/s11071-016-3245-8.

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19

Mu, Xiao-wu, Xiao-li Guo, and Gui-fang Cheng. "Adaptive H-infinity control of a class of uncertain nonlinear systems." Applied Mathematics and Mechanics 27, no. 9 (2006): 1207–15. http://dx.doi.org/10.1007/s10483-006-0907-z.

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20

Mo, Li Po, Han Yu Zhang, and Hai Yang Hu. "Finite-Time H Consensus of Multi-Agent Systems with a Leader." Applied Mechanics and Materials 241-244 (December 2012): 1608–13. http://dx.doi.org/10.4028/www.scientific.net/amm.241-244.1608.

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This paper is focused on the problem of finite-time H-infinity tracking control for the uncertain multi-agent systems with a leader. First, a nonlinear finite time H-infinity tracking control protocol is proposed for multi-agent systems. Second, it is proved that the given protocol can make the closed system reach consensus in finite time based on the theory of finite-time Lyapunov stability and the theory of robust H-infinity control theory. Finally, the simulation results are presented to illustrate the effectiveness of the obtained results.
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21

Rigatos, G., K. Busawon, J. Pomares, and M. Abbaszadeh. "Nonlinear Optimal Control for the Wheeled Inverted Pendulum System." Robotica 38, no. 1 (2019): 29–47. http://dx.doi.org/10.1017/s0263574719000456.

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SummaryThe article proposes a nonlinear optimal control method for the model of the wheeled inverted pendulum (WIP). This is a difficult control and robotics problem due to the system’s strong nonlinearities and due to its underactuation. First, the dynamic model of the WIP undergoes approximate linearization around a temporary operating point which is recomputed at each time step of the control method. The linearization procedure makes use of Taylor series expansion and of the computation of the associated Jacobian matrices. For the linearized model of the wheeled pendulum, an optimal (H-infi
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22

Rigatos, Gerasimos, Pierluigi Siano, Patrice Wira, Krishna Busawon, and Richard Binns. "A Nonlinear H-infinity Control Approach for Autonomous Truck and Trailer Systems." Unmanned Systems 08, no. 01 (2020): 49–69. http://dx.doi.org/10.1142/s2301385020500041.

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A nonlinear optimal control method is developed for autonomous truck and trailer systems. Actually, two cases are distinguished: (a) a truck and trailer system that is steered by the front wheels of its truck, (b) an autonomous fire-truck robot that is steered by both the front wheels of its truck and by the rear wheels of its trailer. The kinematic model of the autonomous vehicles undergoes linearization through Taylor series expansion. The linearization is computed at a temporary operating point that is defined at each time instant by the present value of the state vector and the last value
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23

Yu, Lei, Shumin Fei, Hairong Zhu, and Xun Li. "Adaptive tracking H-infinity control for switched nonlinear systems with unknown control gain sign." Journal of Control Theory and Applications 9, no. 4 (2011): 579–83. http://dx.doi.org/10.1007/s11768-011-9253-9.

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24

Gao, Chuang, Yufu Jia, Xiaoping Liu, and Ming Chen. "Modeling and prescribed H-infinity tracking control for strict feedback nonlinear systems." Nonlinear Analysis: Modelling and Control 22, no. 3 (2017): 317–33. http://dx.doi.org/10.15388/na.2017.3.3.

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25

Rigatos, Gerasimos, Pierluigi Siano, Alexey Melkikh, and Nikolaos Zervos. "A Nonlinear H-Infinity Control Approach to Stabilization of Distributed Synchronous Generators." IEEE Systems Journal 12, no. 3 (2018): 2654–63. http://dx.doi.org/10.1109/jsyst.2017.2688422.

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26

Rigatos, G., P. Siano, P. Wira, and Jianxing Liu. "A Nonlinear H-Infinity Approach to Optimal Control of PEM Fuel Cells." Intelligent Industrial Systems 3, no. 1 (2017): 43–58. http://dx.doi.org/10.1007/s40903-017-0067-z.

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27

Méndez Cubillos, Ximena Celia, and Luiz Carlos Gadelha de Souza. "Using of H-Infinity Control Method in Attitude Control System of Rigid-Flexible Satellite." Mathematical Problems in Engineering 2009 (2009): 1–9. http://dx.doi.org/10.1155/2009/173145.

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The attitude control systems of satellites with rigid and flexible components are demanding more and more better performance resulting in the development of several methods control. For that reason, control design methods presently available, including parameters and states estimation, robust and adaptive control, as well as linear and nonlinear theory, need more investigation to know their capability and limitations. In this paper the investigated technique is H-Infinity method in the performance of the Attitude Control System of a Rigid-Flexible Satellite.
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28

van der Schaft, A. J. "L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control." IEEE Transactions on Automatic Control 37, no. 6 (1992): 770–84. http://dx.doi.org/10.1109/9.256331.

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29

Cao, S. G., N. W. Rees, G. Feng, and G. Feng. "H infinity Control of nonlinear discrete-time systems based on dynamical fuzzy models." International Journal of Systems Science 31, no. 2 (2000): 229–41. http://dx.doi.org/10.1080/002077200291343.

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30

Isidori, A., and A. Astolfi. "Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems." IEEE Transactions on Automatic Control 37, no. 9 (1992): 1283–93. http://dx.doi.org/10.1109/9.159566.

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31

Channa, Rafik, and Sana BZIOUI. "Fuzzy output feedback H-infinity tracking control for MIMO Nonlinear Three-Tank System." International Journal of Process Systems Engineering 1, no. 1 (2020): 1. http://dx.doi.org/10.1504/ijpse.2020.10028146.

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32

Rigatos, G., M. Abbaszadeh, J. Pomares, and P. Wira. "A Nonlinear Optimal Control Approach for a Lower-Limb Robotic Exoskeleton." International Journal of Humanoid Robotics 17, no. 05 (2020): 2050018. http://dx.doi.org/10.1142/s0219843620500188.

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The use of robotic limb exoskeletons is growing fast either for rehabilitation purposes or in an aim to enhance human ability for lifting heavy objects or for walking for long distances without fatigue. The paper proposes a nonlinear optimal control approach for a lower-limb robotic exoskeleton. The method has been successfully tested so far on the control problem of several types of robotic manipulators and this paper shows that it can also provide an optimal solution to the control problem of limb robotic exoskeletons. To implement this control scheme, the state-space model of the lower-limb
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33

Zongo, Oscar Andrew, and John Mbogo Kafuku. "Active damping and robust loop shaping control for harmonic minimization." International Journal of Power Electronics and Drive Systems (IJPEDS) 12, no. 2 (2021): 832. http://dx.doi.org/10.11591/ijpeds.v12.i2.pp832-844.

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This paper presents an h-infinity robust loop shaping control and LCL filter to mitigate the effects of harmonic currents in the photovoltaic system integrated with the grid. To eliminate the negative effects of the LCL filter, this work applied notch filter active damping. Existing methods for the elimination of harmonic currents were reviewed. Proportional integral control, fuzzy logic control, h-infinity control, and robust loop shaping control are presented. The grid current was analyzed in the system with all controllers applied to control the voltage source inverter of the system to elim
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34

Rigatos, Gerasimos, Krishna Busawon, Dimitrios Serpanos, Vasilios Siadimas, Pierluigi Siano, and Masoud Abbaszadeh. "Nonlinear optimal control for ship propulsion with the use of an induction motor and a drivetrain." MATEC Web of Conferences 188 (2018): 05007. http://dx.doi.org/10.1051/matecconf/201818805007.

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A nonlinear optimal (H-infinity) control method is proposed for an electric ship's propulsion system that consists of an induction motor, a drivetrain and a propeller. The control method relies on approximate linearization of the propulsion system's dynamic model using Taylor-series expansion and on the computation of the state-space description's Jacobian matrices. The linearization takes place around a temporary equilibrium which is recomputed at each time-step of the control method. For the approximately linearized model of the ship's propulsion system, an H-infinity (optimal) feedback cont
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35

Liu, Tingrui. "Stall Flutter Suppression for Absolutely Divergent Motions of Wind Turbine Blade Base on H-Infinity Mixed-Sensitivity Synthesis Method." Open Mechanical Engineering Journal 9, no. 1 (2015): 752–60. http://dx.doi.org/10.2174/1874155x01509010752.

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This paper is devoted to solve the problem of stall flutter suppression for an absolutely divergent blade of small scale wind turbine. The blade is specially designed with absolutely divergent motions for the purpose of determining the most effective methods of active control for stall flutter suppression. A 2-DOF blade section is considered, with a simplified stall nonlinear aerodynamic model being applied. H-infinity mixed-sensitivity synthesis method with a new three-weight regulation is designed to control the time-domain instability of aeroelastic equations, with a third weight being chos
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36

Sun, Ximing, Jun Zhao, and Bing Chen. "Robust H-infinity reliable control for a class of nonlinear uncertain neutral delay systems." Journal of Control Theory and Applications 2, no. 3 (2004): 222–28. http://dx.doi.org/10.1007/s11768-004-0002-1.

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37

Cheng, Tao, and Frank L. Lewis. "Neural network solution for finite-horizon H-infinity constrained optimal control of nonlinear systems." Journal of Control Theory and Applications 5, no. 1 (2007): 1–11. http://dx.doi.org/10.1007/s11768-006-6048-5.

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38

Zhang, Aiqing, and Huajing Fang. "Robust H-infinity fuzzy control for uncertain Markovian jump nonlinear singular systems with wiener process." Journal of Control Theory and Applications 8, no. 2 (2010): 205–10. http://dx.doi.org/10.1007/s11768-010-7080-z.

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39

Lian, Jie, and Jun Zhao. "Robust H-infinity integral sliding mode control for a class of uncertain switched nonlinear systems." Journal of Control Theory and Applications 8, no. 4 (2010): 521–26. http://dx.doi.org/10.1007/s11768-010-8007-4.

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40

Rigatos, G., and P. Siano. "A New Nonlinear H-infinity Feedback Control Approach to the Problem of Autonomous Robot Navigation." Intelligent Industrial Systems 1, no. 3 (2015): 179–86. http://dx.doi.org/10.1007/s40903-015-0021-x.

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41

Gu, G., and P. P. Khargonekar. "Linear and nonlinear algorithms for identification in H/sub infinity / with error bounds." IEEE Transactions on Automatic Control 37, no. 7 (1992): 953–63. http://dx.doi.org/10.1109/9.148347.

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42

Xia, Jianwei, Shengyuan Xu, and Yun Zou. "Robust reliable H-infinity control for nonlinear uncertain stochastic time-delay systems with Markovian jumping parameters." Journal of Control Theory and Applications 6, no. 4 (2008): 410–14. http://dx.doi.org/10.1007/s11768-008-6195-y.

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43

Fang, Jiunn-Shiou, Jason Sheng-Hong Tsai, Jun-Juh Yan, and Shu-Mei Guo. "Adaptive H-infinity SMC-based Model Reference Tracker for Uncertain Nonlinear Systems with Input Nonlinearity." International Journal of Control, Automation and Systems 19, no. 4 (2021): 1560–69. http://dx.doi.org/10.1007/s12555-019-0967-7.

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44

Jeong, Dong-Yun, Taesam Kang, Hardian Reza Dharmayanda, and Agus Budiyono. "H -Infinity Attitude Control System Design for a Small-Scale Autonomous Helicopter with Nonlinear Dynamics and Uncertainties." Journal of Aerospace Engineering 25, no. 4 (2012): 501–18. http://dx.doi.org/10.1061/(asce)as.1943-5525.0000176.

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45

Ali, Hazem I., and Azhar Jabbar Abdulridha. "H-infinity Sliding Mode Controller Design for a Human Swing Leg System." Al-Nahrain Journal for Engineering Sciences 23, no. 2 (2020): 117–26. http://dx.doi.org/10.29194/njes.23020117.

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In this paper, the H-infinity Sliding Mode Control (HSMC) is designed to produce a new dynamic output feedback controller for trajectory tracking of the nonlinear human swing leg system. The human swing leg system represents the support of human leg or the humanoid robot leg which is usually modeled as a double pendulum. The thigh and shank of a human leg is represented by two pendulum links and the hip joint will connect the upper body to the thigh and the knee joint will connect the thigh to the shank. The external torques (servo motors) are applied at the hip and knee joints to move the mus
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46

Dai, Yong, Defeng Wu, Shuanghe Yu, and Yan Yan. "Robust Control of Underwater Vehicle-Manipulator System Using Grey Wolf Optimizer-Based Nonlinear Disturbance Observer and H-Infinity Controller." Complexity 2020 (February 28, 2020): 1–17. http://dx.doi.org/10.1155/2020/6549572.

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This paper proposes a new trajectory tracking scheme for the constrained nonlinear underwater vehicle-manipulator system (UVMS). For overcoming the unmodeled uncertainties, external disturbances, and constraints of control inputs in the operation of UVMS, a modified constrained H∞ controller with a basic computed-torque controller (CTC) and a new designed nonlinear disturbance observer (NDO) are proposed. The CTC gives the nominal model-based control. The NDO is designed based on the system dynamics and used to online provide the estimation of the lumped disturbances. However, the designed NDO
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47

Rigatos, Gerasimos, Pierluigi Siano, and Masoud Abbaszadeh. "Nonlinear optimal control for ship propulsion systems comprising an induction motor and a drivetrain." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 234, no. 2 (2019): 409–25. http://dx.doi.org/10.1177/1475090219885213.

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The article proposes a nonlinear optimal [Formula: see text] control method for electric ships’ propulsion systems comprising an induction motor, a drivetrain and a propeller. The control method relies on approximate linearization of the propulsion system’s dynamic model using Taylor series expansion and on the computation of the state-space description’s Jacobian matrices. The linearization takes place around a temporary operating point which is recomputed at each time-step of the control method. For the approximately linearized model of the ship’s propulsion system, an H-infinity (optimal) f
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48

Rigatos, Gerasimos G. "A nonlinear optimal control approach for the UAV and suspended payload system." Cybernetics and Physics, Volume 10, 2021, Number 1 (June 30, 2021): 27–39. http://dx.doi.org/10.35470/2226-4116-2021-10-1-27-39.

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The article proposes a nonlinear optimal control approach for the UAV and suspended load system. The dynamic model of the UAV and payload system undergoes approximate linearization with the use of Taylor series expansion around a temporary operating point which recomputed at each iteration of the control method. For the approximately linearized model an H-infinity feedback controller is designed. The linearization procedure relies on the computation of the Jacobian matrices of the state-space model of the system. The proposed control method stands for the solution of the optimal control proble
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49

Chen, Tim, and CYJ Chen. "Intelligent fuzzy algorithm for nonlinear discrete-time systems." Transactions of the Institute of Measurement and Control 42, no. 7 (2019): 1358–74. http://dx.doi.org/10.1177/0142331219891383.

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This paper is concerned with the stability analysis and the synthesis of model-based fuzzy controllers for a nonlinear large-scale system. In evolved fuzzy NN (neural network) modeling, the NN model and LDI (linear differential inclusion) representation are established for the arbitrary nonlinear dynamics. The evolved bat algorithm (EBA) is first incorporated in the controlled algorithm of stability conditions, which could rapidly find the optimal solution and raise the control performance. This representation is constructed by taking advantage of sector nonlinearity that converts the nonlinea
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50

Li, Gang, Bin Liang, Xueqian Wang, Xiu Li, and Kang Wang. "Power-level regulation and simulation of nonlinear pressurized water reactor core with xenon oscillation using H-infinity loop shaping control." MATEC Web of Conferences 70 (2016): 08003. http://dx.doi.org/10.1051/matecconf/20167008003.

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