Global optimal output regulation of partially linear systems via robust adaptive dynamic programming

Weinan Gao, Zhong-Ping Jiang

Research output: Contribution to journalArticle

Abstract

A non-model-based robust adaptive dynamic programming (RADP) approach is developed to solve the global optimal output regulation problem (GOORP) of partially linear systems with nonlinear dynamic uncertainties. By converting the output regulation problem into a global robust optimal stabilization problem, a robust optimal controller is designed by means of the RADP for the transformed system. Nonlinear small-gain theory is applied to conclude the global asymptotic stability for the closed-loop system and thus solves the original GOORP. Simulation results illustrate the effectiveness of the proposed methodology.

Original languageEnglish (US)
Pages (from-to)742-747
Number of pages6
JournalUnknown Journal
Volume28
Issue number11
DOIs
StatePublished - Jul 1 2015

Fingerprint

Output Regulation
Adaptive Dynamics
Dynamic programming
Dynamic Programming
Linear systems
Linear Systems
Asymptotic stability
Closed loop systems
Stabilization
Controllers
Global Asymptotic Stability
Nonlinear Dynamics
Closed-loop System
Controller
Uncertainty
Methodology
Simulation

Keywords

  • Adaptive control
  • Output regulation
  • Robust adaptive dynamic programming (RADP)
  • Robust optimal control

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Global optimal output regulation of partially linear systems via robust adaptive dynamic programming. / Gao, Weinan; Jiang, Zhong-Ping.

In: Unknown Journal, Vol. 28, No. 11, 01.07.2015, p. 742-747.

Research output: Contribution to journalArticle

@article{dfb00adc8d174c45a28fa858fd91446f,
title = "Global optimal output regulation of partially linear systems via robust adaptive dynamic programming",
abstract = "A non-model-based robust adaptive dynamic programming (RADP) approach is developed to solve the global optimal output regulation problem (GOORP) of partially linear systems with nonlinear dynamic uncertainties. By converting the output regulation problem into a global robust optimal stabilization problem, a robust optimal controller is designed by means of the RADP for the transformed system. Nonlinear small-gain theory is applied to conclude the global asymptotic stability for the closed-loop system and thus solves the original GOORP. Simulation results illustrate the effectiveness of the proposed methodology.",
keywords = "Adaptive control, Output regulation, Robust adaptive dynamic programming (RADP), Robust optimal control",
author = "Weinan Gao and Zhong-Ping Jiang",
year = "2015",
month = "7",
day = "1",
doi = "10.1016/j.ifacol.2015.09.278",
language = "English (US)",
volume = "28",
pages = "742--747",
journal = "Theoretical Computer Science",
issn = "0304-3975",
publisher = "Elsevier",
number = "11",

}

TY - JOUR

T1 - Global optimal output regulation of partially linear systems via robust adaptive dynamic programming

AU - Gao, Weinan

AU - Jiang, Zhong-Ping

PY - 2015/7/1

Y1 - 2015/7/1

N2 - A non-model-based robust adaptive dynamic programming (RADP) approach is developed to solve the global optimal output regulation problem (GOORP) of partially linear systems with nonlinear dynamic uncertainties. By converting the output regulation problem into a global robust optimal stabilization problem, a robust optimal controller is designed by means of the RADP for the transformed system. Nonlinear small-gain theory is applied to conclude the global asymptotic stability for the closed-loop system and thus solves the original GOORP. Simulation results illustrate the effectiveness of the proposed methodology.

AB - A non-model-based robust adaptive dynamic programming (RADP) approach is developed to solve the global optimal output regulation problem (GOORP) of partially linear systems with nonlinear dynamic uncertainties. By converting the output regulation problem into a global robust optimal stabilization problem, a robust optimal controller is designed by means of the RADP for the transformed system. Nonlinear small-gain theory is applied to conclude the global asymptotic stability for the closed-loop system and thus solves the original GOORP. Simulation results illustrate the effectiveness of the proposed methodology.

KW - Adaptive control

KW - Output regulation

KW - Robust adaptive dynamic programming (RADP)

KW - Robust optimal control

UR - http://www.scopus.com/inward/record.url?scp=84992504042&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992504042&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.278

DO - 10.1016/j.ifacol.2015.09.278

M3 - Article

AN - SCOPUS:84992504042

VL - 28

SP - 742

EP - 747

JO - Theoretical Computer Science

JF - Theoretical Computer Science

SN - 0304-3975

IS - 11

ER -