Synthesis of stabilizing anti-windup controllers using piecewise quadratic Lyapunov functions

Eric F. Mulder, Mayuresh V. Kothare

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

Abstract

We consider the problem of multivariable anti-windup bumpless transfer (AWBT) controller synthesis based on the general AWBT framework presented in [6]. Specifically, we propose a method for synthesizing AWBT compensators which stabilize linear, time-invariant systems (LTI) subject to saturating actuators. Our synthesis approach takes advantage of the fact that the AWBT system is a piecewise affine system and thus, we can utilize piecewise quadratic Lyapunov function theory [5, 10, 4] to determine a stabilizing control law. The synthesis problem is solved via iteration between a set of linear matrix inequalities (LMIs). The utility of the approach is demonstrated on a simple example where our method is shown to be less conservative.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherIEEE
Pages3239-3243
Number of pages5
Volume5
StatePublished - 2000
Externally publishedYes
Event2000 American Control Conference - Chicago, IL, USA
Duration: Jun 28 2000Jun 30 2000

Other

Other2000 American Control Conference
CityChicago, IL, USA
Period6/28/006/30/00

ASJC Scopus subject areas

  • Control and Systems Engineering

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