Stability overlay for linear and nonlinear time-varying plants

Paulo Rosa*, Jeff S. Shamma, Carlos Silvestre, Michael Athans

*Corresponding author for this work

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

5 Scopus citations

Abstract

This paper proposes a strategy referred to as Stability Overlay (SO) for linear and nonlinear time-varying plants, that provides input/output stability guarantees for a wide set of adaptive control schemes. We use this methodology to endow Multiple-Model Adaptive Control (MMAC) architectures with robust stability properties when the plant to be controlled is uncertain and time-varying. We emphasize that adaptive control strategies should be able to handle time-varying plants, since these methodologies are usually applied to plants with drifting parameters. The results presented herein clearly indicate that multiple-model strategies augmented with the SO for time-varying plants ensure stability of the closed-loop for a wide class of disturbances and model uncertainty, while providing high performance capabilities whenever the stabilizing controllers have been designed for performance-robustness.

Original languageEnglish (US)
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages2435-2440
Number of pages6
DOIs
StatePublished - Dec 1 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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