Adaptive optimal output regulation: A parametric Lyapunov equation approach

  • Zain ul Aabidin Lodhi
  • , Huaiyuan Jiang*
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This article delves into a data-driven approach for solving the adaptive optimal output regulation problem in continuous-time linear systems with uncertain dynamics. Employing a class of parametric Lyapunov equations in conjunction with a nominal system model, the initial stabilizing feedback gain is determined to initiate the iterative method. Then, by utilizing a policy-iteration-based technique, we design an optimal control policy to achieve precise output tracking and disturbance rejection. The prescribed convergence characteristics of the closed-loop system directly result from the properties embedded within the solution of the parametric Lyapunov equation. The applicability and performance of the proposed method are demonstrated through a numerical example involving an input-constrained double integrator system.

Original languageEnglish
Title of host publicationFifth International Conference on Control, Robotics, and Intelligent System, CCRIS 2024
EditorsChenguang Yang
PublisherSPIE
ISBN (Electronic)9781510685864
DOIs
StatePublished - 2024
Externally publishedYes
Event5th International Conference on Control, Robotics, and Intelligent System, CCRIS 2024 - Macau, China
Duration: 23 Aug 202425 Aug 2024

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume13404
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference5th International Conference on Control, Robotics, and Intelligent System, CCRIS 2024
Country/TerritoryChina
CityMacau
Period23/08/2425/08/24

Keywords

  • data-driven algorithm
  • output regulation
  • parametric Lyapunov equation
  • unknown parameters

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