Quadratic Stabilization of LPV System by an LTI Controller Based on ILMI Algorithm

Xie, Wei

doi:https://doi.org/10.1155/2007/28262

Mathematical Problems in Engineering

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Dynamics and Control in Sciences and Engineering

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Research Article | Open Access

Volume 2007 | Article ID 028262 | https://doi.org/10.1155/2007/28262

Quadratic Stabilization of LPV System by an LTI Controller Based on ILMI Algorithm

Wei Xie¹

Academic Editor: José Manoel Balthazar

Received08 Aug 2006

Revised23 Feb 2007

Accepted25 May 2007

Published10 Sept 2007

Abstract

A linear time-invariant (LTI) output feedback controller is designed for a linear parameter-varying (LPV) control system to achieve quadratic stability. The LPV system includes immeasurable dependent parameters that are assumed to vary in a polytopic space. To solve this control problem, a heuristic algorithm is proposed in the form of an iterative linear matrix inequality (ILMI) formulation. Furthermore, an effective method of setting an initial value of the ILMI algorithm is also proposed to increase the probability of getting an admissible solution for the controller design problem.

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Copyright

Copyright © 2007 Wei Xie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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