Optimal control scheme for nonlinear systems with saturating actuator using -iterative adaptive dynamic programming

Xiaofeng Lin, Yuanjun Huang, Nuyun Cao, Yuzhang Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, a finite-horizon optimal control scheme for a class of nonlinear systems with saturating actuator is proposed by an improved iterative adaptive dynamic programming (ADP) algorithm. The Hamilton-Jacobi-Bellman (HJB) equation corresponding to constrained control is formulated using a suitable nonquadratic function. Then mathematical analysis of the convergence is presented, by proving that the performance index function can reach the optimum using the adaptive iteration. Finally the finite-horizon optimal control law can be obtained by the -iterative adaptive algorithm. The examples are given to demonstrate the effectiveness of the above methods.

Original languageEnglish (US)
Title of host publicationProceedings of the 2012 UKACC International Conference on Control, CONTROL 2012
Pages58-63
Number of pages6
DOIs
StatePublished - 2012
Event2012 UKACC International Conference on Control, CONTROL 2012 - Cardiff, United Kingdom
Duration: Sep 3 2012Sep 5 2012

Publication series

NameProceedings of the 2012 UKACC International Conference on Control, CONTROL 2012

Conference

Conference2012 UKACC International Conference on Control, CONTROL 2012
Country/TerritoryUnited Kingdom
CityCardiff
Period9/3/129/5/12

Keywords

  • Adaptive dynamic programming(ADP)
  • Finite time optimal control
  • Saturating actuators
  • nonlinear system

ASJC Scopus subject areas

  • Control and Systems Engineering

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