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Controller synthesis of continuous-time piecewise linear systems based on piecewise Lyapunov functions

  • City University of Hong Kong

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

Abstract

This paper investigates the robust H static output feedback (SOF) controller design for a class of continuous-time piecewise linear systems. The objective is to design a piecewise SOF controller guaranteeing the asymptotic stability of the resulting closed-loop system with a prescribed H disturbance attenuation level. Based on common/piecewise Lyapunov functions combined with Projection Lemma and some convexification techniques, some new results to the SOF controller design are developed for the underlying continuous-time piecewise linear systems. It is shown that the controller gains can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. A simulation example is also given to illustrate the effectiveness of the proposed approaches.

Original languageEnglish
Title of host publicationProceedings of the 30th Chinese Control Conference, CCC 2011
Pages6481-6486
Number of pages6
StatePublished - 2011
Event30th Chinese Control Conference, CCC 2011 - Yantai, China
Duration: 22 Jul 201124 Jul 2011

Publication series

NameProceedings of the 30th Chinese Control Conference, CCC 2011

Conference

Conference30th Chinese Control Conference, CCC 2011
Country/TerritoryChina
CityYantai
Period22/07/1124/07/11

Keywords

  • Controller Design
  • Output Feedback
  • Piecewise Linear Systems
  • Piecewise Lyapunov Functions

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