Abstract
In this paper, finite horizon stochastic optimal control issue has been studied for linear networked control system (LNCS) in the presence of network imperfections such as network-induced delays and packet losses by using adaptive dynamic programming (ADP) approach. Due to an uncertainty in system dynamics resulting from network imperfections, the stochastic optimal control design uses a novel adaptive estimator (AE) to solve the optimal regulation of uncertain LNCS in a forward-in-time manner in contrast with backward-in-time Riccati equation-based optimal control with known system dynamics. Tuning law for unknown parameters of AE has been derived. Lyapunov theory is used to show that all the signals are uniformly ultimately bounded (UUB) with ultimate bounds being a function of initial values and final time. In addition, the estimated control input converges to optimal control input within finite horizon. Simulation results are included to show the effectiveness of the proposed scheme. © 2013 IEEE.
Recommended Citation
H. Xu and S. Jagannathan, "Finite Horizon Stochastic Optimal Control of Uncertain Linear Networked Control System," IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning, ADPRL, pp. 24 - 30, article no. 6614985, Institute of Electrical and Electronics Engineers, Dec 2013.
The definitive version is available at https://doi.org/10.1109/ADPRL.2013.6614985
Department(s)
Electrical and Computer Engineering
Second Department
Computer Science
Keywords and Phrases
Adaptive Dynamics Programming and Reinforcement learning; Adaptive Estimator; Finite horizon; Networked Control System; Stochastic Optimal Control
International Standard Book Number (ISBN)
978-146735925-2
International Standard Serial Number (ISSN)
2325-1867; 2325-1824
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Dec 2013
Comments
National Science Foundation, Grant ECCS #1128281