Adaptive dynamic programming and optimal stabilization for linear systems with time-varying uncertainty

Meng Zhang, Ming Gang Gan, Jie Chen, Zhong Ping Jiang

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

Abstract

This paper focuses on the optimal control of continuous-time linear time-varying uncertain systems with completely unknown internal dynamics and proposes a novel approach which leads to an optimal controller with guaranteed stability. A model-free algorithm of adaptive dynamic programming is employed to deal with the uncertainty of system parameters, yielding an optimal feedback controller for the system subject to a predefined cost. Then the stability of the system in time-varying uncertain situation which may undergo parameter changes or jumps is analyzed from the perspective of finite-time stability. On the basis of these results, a switching control strategy is presented to ensure the stability of the time-varying uncertain system with desired optimality properties in the long run. The effectiveness of the strategy is verified by simulations on a DC torque motor servo system.

Original languageEnglish (US)
Title of host publication2017 Asian Control Conference, ASCC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1228-1233
Number of pages6
ISBN (Electronic)9781509015733
DOIs
StatePublished - Feb 7 2018
Event2017 11th Asian Control Conference, ASCC 2017 - Gold Coast, Australia
Duration: Dec 17 2017Dec 20 2017

Publication series

Name2017 Asian Control Conference, ASCC 2017
Volume2018-January

Other

Other2017 11th Asian Control Conference, ASCC 2017
CountryAustralia
CityGold Coast
Period12/17/1712/20/17

ASJC Scopus subject areas

  • Control and Optimization

Fingerprint Dive into the research topics of 'Adaptive dynamic programming and optimal stabilization for linear systems with time-varying uncertainty'. Together they form a unique fingerprint.

  • Cite this

    Zhang, M., Gan, M. G., Chen, J., & Jiang, Z. P. (2018). Adaptive dynamic programming and optimal stabilization for linear systems with time-varying uncertainty. In 2017 Asian Control Conference, ASCC 2017 (pp. 1228-1233). (2017 Asian Control Conference, ASCC 2017; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ASCC.2017.8287346