Near Optimal Event-Triggered Control of Nonlinear Continuous-Time Systems using Input and Output Data
Abstract
The optimal event-triggered control of nonlinear continuous-time systems by using input and output data is a challenging problem due to system uncertainties, non-availability of state vector and event-based sampled outputs between the plant and the controller. Therefore, a novel reinforcement learning-based approach is proposed to solve time-based near optimal event-triggered control of nonlinear continuous-time systems. First, by using measured input and output data, nonlinear continuous-time system is represented in the input-output form that is suitable for data-driven control. Then, an online neural network (NN) identifier is developed to estimate the control coefficient matrix from the input-output data which is subsequently utilized along with the critic NN to obtain a time-based near optimal event triggered control scheme in a forward-in-time manner. Novel apeiodic update laws are derived for NNs by using event trigger error while a novel event-trigger condition is designed to ensure the overall stability of proposed scheme. Eventually, Lyapunov analysis is utilized to demonstrate that all closed-loop signals and NN weights are ultimately bounded (UB).
Recommended Citation
H. Xu and J. Sarangapani, "Near Optimal Event-Triggered Control of Nonlinear Continuous-Time Systems using Input and Output Data," Proceedings of the 11th World Congress on Intelligent Control and Automation (2014, Shenyang, China), pp. 1799 - 1804, Institute of Electrical and Electronics Engineers (IEEE), Jun 2014.
The definitive version is available at https://doi.org/10.1109/WCICA.2014.7052993
Meeting Name
11th World Congress on Intelligent Control and Automation, WCICA 2014 (2014: Jun. 29-Jul. 4, Shenyang, China)
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Event-trigger; Neural Network; Optimal Control
International Standard Book Number (ISBN)
978-1-4799-5825-2
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2014 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
01 Jun 2014
Comments
This work is partially supported by NSF Grant #1128281 and Intelligent Systems Center at Missouri University of Science and Technology.