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Article
Decentralized State Feedback and Near Optimal Adaptive Neural Network Control of Interconnected Nonlinear Discrete-Time Systems
Proceedings of the 49th IEEE Conference on Decision and Control (2010, Atlanta, GA)
  • Shahab Mehraeen
  • Jagannathan Sarangapani, Missouri University of Science and Technology
  • Mariesa Crow, Missouri University of Science and Technology
Abstract

In this paper, first a novel decentralized state feedback stabilization controller is introduced for a class of nonlinear interconnected discrete-time systems in affine form with unknown subsystem dynamics, control gain matrix, and interconnection dynamics by employing neural networks (NNs). Subsequently, the optimal control problem of decentralized nonlinear discrete-time system is considered with unknown internal subsystem and interconnection dynamics while assuming that the control gain matrix is known. For the near optimal controller development, the direct neural dynamic programming technique is utilized to solve the Hamilton-Jacobi-Bellman (HJB) equation forward-in-time. The decentralized optimal controller design for each subsystem utilizes the critic-actor structure by using NNs. All NN parameters are tuned online. By using Lyapunov techniques it is shown that all subsystems signals are uniformly ultimately bounded (UUB) for stabilization of such systems.

Meeting Name
49th IEEE Conference on Decision and Control (2010: Dec. 15-17, Atlanta, GA)
Department(s)
Electrical and Computer Engineering
Second Department
Computer Science
Keywords and Phrases
  • Artificial Neural Networks,
  • Cost Function,
  • Equations,
  • Estimation Error,
  • Function Approximation,
  • Optimal Control
International Standard Book Number (ISBN)
978-1-4244-7745-6
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2010 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
12-1-2010
Publication Date
01 Dec 2010
Citation Information
Shahab Mehraeen, Jagannathan Sarangapani and Mariesa Crow. "Decentralized State Feedback and Near Optimal Adaptive Neural Network Control of Interconnected Nonlinear Discrete-Time Systems" Proceedings of the 49th IEEE Conference on Decision and Control (2010, Atlanta, GA) (2010) p. 114 - 119 ISSN: 0191-2216
Available at: http://works.bepress.com/jagannathan-sarangapani/53/