Distributed Event-Sampled Approximate Optimal Control of Interconnected Affine Nonlinear Continuous-Time Systems
Abstract
In this paper, a novel distributed near optimal control of an interconnected affine nonlinear continuous-time system with known dynamics is presented by using event-sampled state vector via novel hybrid learning scheme. Neural networks (NN) using event sampled state vector are designed at each subsystem to learn the optimal value function in an online and forward-in-time manner to generate the solution to the infinite horizon Hamilton-Jacobi-Bellman (HJB) equation. The presence of strong interconnections and limited communication among subsystems complicates the controller design. In order to improve the learning rate without explicitly increasing the events during the learning phase, iterative weight updates combined with time driven learning at the event sampled instants is introduced. By using Lyapunov technique, it is shown that the state vector and the NN weights at each subsystem are locally uniformly ultimately bounded (UUB). Simulation results are provided to illustrate the effectiveness of the proposed analytical design.
Recommended Citation
V. Narayanan and J. Sarangapani, "Distributed Event-Sampled Approximate Optimal Control of Interconnected Affine Nonlinear Continuous-Time Systems," Proceedings of the 2016 American Control Conference (2016, Boston, MA), pp. 3044 - 3049, Institute of Electrical and Electronics Engineers (IEEE), Jul 2016.
The definitive version is available at https://doi.org/10.1109/ACC.2016.7525383
Meeting Name
2016 American Control Conference, ACC (2016: Jul. 6-8, Boston, MA)
Department(s)
Electrical and Computer Engineering
Research Center/Lab(s)
Intelligent Systems Center
International Standard Book Number (ISBN)
978-1-4673-8682-1
International Standard Serial Number (ISSN)
0743-1619; 2378-5861
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2016 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
01 Jul 2016
Comments
Research supported by NSF ECCS #1128281, #1406533 and Intelligent Systems Center.