LPV decoupling for multivariable control system design

Javad Mohammadpour, Karolos Grigoriadis, Matthew Franchek, Yue Yun Wang

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

4 Scopus citations

Abstract

The paper explores methods for decoupled linear parameter varying (LPV) control. The proposed approach seeks to benefit the multi-variable control of multi-input multi-output (MIMO) systems with variable operating conditions, variable parameters or nonlinear behavior. The method can improve the performance and reduce the variability of such MIMO systems with significant coupling in the system dynamics. We design MIMO decoupled feedback LPV controllers to address coupling effects. In particular, the method uses a parameter-dependent static inversion or SVD decomposition of the system to minimize the effects of the off-diagonal terms in the MIMO system transfer function matrix. The parameter-dependent decoupling matrices are selected along with the appropriate LPV controller design to guarantee the closed-loop performance specifications. A new parameter-dependent interaction measure is also introduced based on SVD decomposition and static inversion and is examined for the adaptive control design purposes to address the variability and coupling of the multivariable systems.

Original languageEnglish (US)
Title of host publication2009 American Control Conference, ACC 2009
Pages3112-3117
Number of pages6
DOIs
StatePublished - Nov 23 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: Jun 10 2009Jun 12 2009

Other

Other2009 American Control Conference, ACC 2009
CountryUnited States
CitySt. Louis, MO
Period6/10/096/12/09

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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