Abstract
In this paper, the optimal regulation of linear continuous-time systems with state and input delays is introduced by utilizing a quadratic cost function and state feedback. The Lyapunov-Krakovskii functional incorporating state and input delays is defined as a value function. Next, the Bellman type equation is formulated, and a delay Algebraic Riccati equation (DARE) over infinite time horizon is derived. By using the stationarity condition for the Bellman type equation, the optimal control input is obtained. It is demonstrated that the proposed optimal control input makes the closed-loop system asymptotically stable. Finally, simulation results confirm the theoretical claims by applying the proposed approach to a chemical reactor.
Recommended Citation
R. Moghadam and S. Jagannathan, "Optimal Control of Linear Continuous-time Systems in the Presence of State and Input Delays with Application to a Chemical Reactor," Proceedings of the American Control Conference, pp. 999 - 1004, article no. 9147630, Institute of Electrical and Electronics Engineers, Jul 2020.
The definitive version is available at https://doi.org/10.23919/ACC45564.2020.9147630
Department(s)
Electrical and Computer Engineering
Second Department
Computer Science
International Standard Book Number (ISBN)
978-153868266-1
International Standard Serial Number (ISSN)
0743-1619
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 Jul 2020
Included in
Computer Sciences Commons, Electrical and Computer Engineering Commons, Medicine and Health Sciences Commons
Comments
National Science Foundation, Grant CMMI 1547042