Event-Based Adaptive Dynamic Programming for H∞ Control Problem of Input-Constrained Nonlinear Systems with Its Application to Power Systems

Fan Liu, Hanguang Su*, Yi Zong, Yushuai Li, He Jiang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

In this article, a novel event-based adaptive dynamic programming algorithm is developed to solve the infinite-horizon (H∞) control problem for continuous-time input-constrained nonlinear systems. The communication complexity and computation load of the system can be obviously reduced through the state-dependent triggering condition of the state and control strategy. Moreover, an event-triggered single-network adaptive critic method is utilized, with the aim of obtaining the approximate optimal solution of the Hamilton-Jacobi-Isaacs (HJI) equation. In the process of algorithm learning, only weights of the critic network need to be adjusted, and the number of updated weights can be reduced by eliminating the action network. By means of Lyapunov theory, the stability of the designed closed-loop control system and the convergence of weights of the critic network are demonstrated. Finally, a real power system simulation example is presented to verify the stability, the capability to suppress disturbance and the effectiveness of the proposed method.
Original languageEnglish
Title of host publicationProceedings of 2023 International Annual Conference on Complex Systems and Intelligent Science (CSIS-IAC)
Number of pages6
PublisherIEEE
Publication date2023
Pages709-714
ISBN (Electronic)979-8-3503-0900-3
DOIs
Publication statusPublished - 2023
Event2023 International Annual Conference on Complex Systems and Intelligent Science - Shenzen, China
Duration: 20 Oct 202322 Oct 2023

Conference

Conference2023 International Annual Conference on Complex Systems and Intelligent Science
Country/TerritoryChina
CityShenzen
Period20/10/202322/10/2023

Keywords

  • Adaptive dynamic programming (ADP)
  • H∞ control
  • Zero-sum game
  • Event-based control
  • Input constraints

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