Robust Stabilization of Discrete-Time Uncertain Nonlinear Systems Using Neuro-Optimal Control Strategy

被引：0

作者：

Wang Ding ^{[1
]}

Liu Derong ^{[1
]}

Li Hongliang ^{[1
]}

Yang Xiong ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China

来源：

2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年

关键词：

Generalized Hamilton-Jacobi-Bellman equation; Neuro-optimal control; Robust control; System uncertainty; HJB SOLUTION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the robust stabilization problem for a class of discrete-time uncertain nonlinear systems is investigated by using a neuro-optimal control strategy. The robust stabilization problem is converted into an optimal control problem under some proper conditions. Then, in order to deal with the transformed optimal control problem, the discrete-time generalized Hamilton-Jacobi-Bellman equation is introduced and solved by employing the successive approximation method. The convergence proof of the iterative algorithm and the design procedure of the neural network implementation are developed as well. A numerical simulation is also provided to illustrate the effectiveness of the control strategy.

引用

页码：3039 / 3044

页数：6

共 11 条

[1] Nearly optimal state feedback control of constrained nonlinear systems using a neural networks HJB approach
Abu-Khalaf, M
Lewis, FL
[J]. ANNUAL REVIEWS IN CONTROL, 2004, 28 (02) : 239 - 251
[2] Bounded robust control of nonlinear systems using neural network-based HJB solution
Adhyaru, Dipak M.
Kar, I. N.
Gopal, M.
[J]. NEURAL COMPUTING & APPLICATIONS, 2011, 20 (01) : 91 - 103
[3] [Anonymous], 1992, HDB INTELLIGENT CONT
[4] Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
Beard, RW
Saridis, GN
Wen, JT
[J]. AUTOMATICA, 1997, 33 (12) : 2159 - 2177
[5] Chen Z, 2005, IEEE DECIS CONTR P, P4123
[6] Generalized Hamilton-Jacobi-Blellman formulation-based neural network control of affine nonlinear discrete-time systems
Chen, Zheng
Jagannathan, Sarangapani
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (01): : 90 - 106
[7] Cui LL, 2009, ADPRL: 2009 IEEE SYMPOSIUM ON ADAPTIVE DYNAMIC PROGRAMMING AND REINFORCEMENT LEARNING, P16
[8] ROBUST-CONTROL OF NONLINEAR-SYSTEMS - COMPENSATING FOR UNCERTAINTY
LIN, F
BRANDT, RD
SUN, J
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1992, 56 (06) : 1453 - 1459
[9] Neural-Network-Based Online HJB Solution for Optimal Robust Guaranteed Cost Control of Continuous-Time Uncertain Nonlinear Systems
Liu, Derong
Wang, Ding
Wang, Fei-Yue
Li, Hongliang
Yang, Xiong
[J]. IEEE TRANSACTIONS ON CYBERNETICS, 2014, 44 (12) : 2834 - 2847
[10] Wang D, 2014, CHIN CONTR CONF, P8711, DOI 10.1109/ChiCC.2014.6896464

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