Optimal Control of Linear Continuous-time Systems in the Presence of State and Input Delays with Application to a Chemical Reactor

Authors

Rohollah Moghadam, Arkansas Tech UniversityFollow
Sarangapani Jagannathan, Missouri University of Science and Technology

Document Type

Conference Proceeding

Publication Date

7-1-2020

Department

Electrical Engineering

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. © 2020 AACC.

DOI

10.23919/ACC45564.2020.9147630

First Page

999

Last Page

1004

Publication Title

Proceedings of the American Control Conference

ISBN

9781538682661

Comments

At the time of publication, Rohollah Modhadam was affiliated with Missouri University of Science and Technology.

Recommended Citation

Moghadam, R. and Jagannathan, S. (2020). Optimal control of linear continuous-time systems in the presence of state and input delays with application to a chemical reactor," 2020 American Control Conference (ACC)Proceedings: 999-1004. doi: 10.23919/ACC45564.2020.9147630.