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International Journal of Systems Science Volume 45, 2014 - Issue 8
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Original Articles

Finite horizon optimal control of non-linear discrete-time switched systems using adaptive dynamic programming with ε-error bound

Chunbin QinCollege of Information Science and Engineering, Northeastern University, Shenyang, China;Basic Experiment Teaching Center, Henan University, Kaifeng, Henan, ChinaView further author information
,
Huaguang ZhangCollege of Information Science and Engineering, Northeastern University, Shenyang, ChinaCorrespondence[email protected]
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,
Yanhong LuoCollege of Information Science and Engineering, Northeastern University, Shenyang, ChinaView further author information
&
Binrui WangCollege of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, ChinaView further author information
Pages 1683-1693 | Received 26 Apr 2012, Accepted 04 Nov 2012, Published online: 21 Jan 2013

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Yang Yang, Xin Fan, Baohua Sun, Chuang Xu, Shan Zuo & Dong Yue. (2022) Event-triggered adaptive approximately optimal tracking control of a class of non-affine SISO nonlinear systems via output feedback. International Journal of Systems Science 53:2, pages 223-239.
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Jingang Zhao & Minggang Gan. (2020) Finite-horizon optimal control for continuous-time uncertain nonlinear systems using reinforcement learning. International Journal of Systems Science 51:13, pages 2429-2440.
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Chi Zhang, Minggang Gan & Jingang Zhao. (2019) Data-driven optimal control of switched linear autonomous systems. International Journal of Systems Science 50:6, pages 1275-1289.
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Bo Zhao, Derong Liu, Xiong Yang & Yuanchun Li. (2017) Observer-critic structure-based adaptive dynamic programming for decentralised tracking control of unknown large-scale nonlinear systems. International Journal of Systems Science 48:9, pages 1978-1989.
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Mircea-Bogdan Radac, Radu-Emil Precup & Raul-Cristian Roman. (2017) Model-Free control performance improvement using virtual reference feedback tuning and reinforcement Q-learning. International Journal of Systems Science 48:5, pages 1071-1083.
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Articles from other publishers (17)

Xiang Wu, Jinxing Lin, Kanjian Zhang & Ming Cheng. (2022) A penalty function-based random search algorithm for optimal control of switched systems with stochastic constraints and its application in automobile test-driving with gear shifts. Nonlinear Analysis: Hybrid Systems 45, pages 101218.
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Chi Zhang, Minggang Gan & Chenchen Xue. (2021) Data-driven optimal switching and control of switched systems. Control Theory and Technology 19:3, pages 299-314.
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Bo Zhao, Derong Liu & Cesare Alippi. (2021) Sliding-Mode Surface-Based Approximate Optimal Control for Uncertain Nonlinear Systems With Asymptotically Stable Critic Structure. IEEE Transactions on Cybernetics 51:6, pages 2858-2869.
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Hanfeng Li, Xianfu Zhang & Gang Feng. (2021) Event-Triggered Output Feedback Control of Switched Nonlinear Systems With Input Saturation. IEEE Transactions on Cybernetics 51:5, pages 2319-2326.
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Junru Lei, Shuhua Deng, Zebin Lu, Yihao He & Xieping Gao. (2020) Energy-saving traffic scheduling in backbone networks with software-defined networks. Cluster Computing 24:1, pages 279-292.
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Di Liu, Wenwu Yu, Simone Baldi, Jinde Cao & Wei Huang. (2020) A Switching-Based Adaptive Dynamic Programming Method to Optimal Traffic Signaling. IEEE Transactions on Systems, Man, and Cybernetics: Systems 50:11, pages 4160-4170.
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Shangwei Zhao, Jingcheng Wang, Hongyuan Wang & Haotian Xu. (2020) An Optimal Tracking Control Method with Q-learning for Discrete-time Linear Switched System. An Optimal Tracking Control Method with Q-learning for Discrete-time Linear Switched System.
Ruizhuo Song, Yulong Xie & Zenglian Zhang. (2019) Data-driven finite-horizon optimal tracking control scheme for completely unknown discrete-time nonlinear systems. Neurocomputing 356, pages 206-216.
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Chaoxu Mu, Ding Wang & Haibo He. (2018) Data-Driven Finite-Horizon Approximate Optimal Control for Discrete-Time Nonlinear Systems Using Iterative HDP Approach. IEEE Transactions on Cybernetics 48:10, pages 2948-2961.
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Qiuxia Qu, Huaguang Zhang, Tao Feng & He Jiang. (2017) Decentralized adaptive tracking control scheme for nonlinear large-scale interconnected systems via adaptive dynamic programming. Neurocomputing 225, pages 1-10.
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Chunbin Qin, Xianxing Liu, Guoquan Liu, Jun Wang & Dehua Zhang. 2017. Neural Information Processing. Neural Information Processing 801 810 .
Kyriakos G. Vamvoudakis, Marcio Fantini Miranda & Joao P. Hespanha. (2016) Asymptotically Stable Adaptive–Optimal Control Algorithm With Saturating Actuators and Relaxed Persistence of Excitation. IEEE Transactions on Neural Networks and Learning Systems 27:11, pages 2386-2398.
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Ali Heydari. (2016) Feedback Solution to Optimal Switching Problems With Switching Cost. IEEE Transactions on Neural Networks and Learning Systems 27:10, pages 2009-2019.
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Mouadh Sakly, Anis Sakly & Faouzi M'Sahli. (2015) Inverse optimal control of switched discrete non linear systems based on Control Lyapunov Function and Genetic Algorithm. Inverse optimal control of switched discrete non linear systems based on Control Lyapunov Function and Genetic Algorithm.
Ali Heydari. (2015) Optimal scheduling for reference tracking or state regulation using reinforcement learning. Journal of the Franklin Institute 352:8, pages 3285-3303.
Crossref
Ali Heydari. (2014) Revisiting Approximate Dynamic Programming and its Convergence. IEEE Transactions on Cybernetics 44:12, pages 2733-2743.
Crossref
Ali Heydari & S. N. Balakrishnan. (2014) Optimal switching of nonlinear systems with free mode sequence. Optimal switching of nonlinear systems with free mode sequence.

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