Title
Optimal Adaptive Regulation of Uncertain Linear Continuous-time Systems with State and Input Delays
Document Type
Conference Proceeding
Publication Date
12-14-2020
Department
Electrical Engineering
Abstract
In this paper, the optimal adaptive regulation of uncertain linear continuous-time systems with state and input delays is introduced using state feedback. First, an adaptive identifier is proposed to estimate the system dynamics. Subsequently, by using a quadratic cost function, a Bellman type equation is derived to obtain the optimal regulation via stationarity condition. Finally, the adaptive identifier and the optimal approach are integrated together to design the optimal adaptive regulator in the presence of uncertain system dynamics. The Lyapunov theory is utilized to show the boundedness of the state vector, parameter estimation and identification errors when the initial parameters lie within a compact set. A simulation example is employed to verify the effectiveness of the proposed approach. © 2020 IEEE.
DOI
10.1109/CDC42340.2020.9304171
First Page
132
Last Page
137
Publication Title
Proceedings of the IEEE Conference on Decision and Control
ISBN
9781728174471
Recommended Citation
Moghadam, R. and Jagannathan, S. (2020). Optimal adaptive regulation of uncertain linear continuous-time systems with state and input delays. Proceedings from 2020 59th IEEE Conference on Decision and Control (CDC): 132-137. doi: 10.1109/CDC42340.2020.9304171.