Journal of Dynamical and Control Systems

, Volume 14, Issue 1, pp 121–144 | Cite as

Output Feedback H ∞ Control for Uncertain Piecewise Linear Systems

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Abstract

This paper is concerned with the design of robust H ∞ output feedback controller for uncertain piecewise-linear systems based on piecewise-quadratic Lyapunov function technique. We assume that the uncertainty is norm-bounded and enters all system matrices. By constructing piecewise-continuous Lyapunov function for the closed-loop augmented system, we construct the H ∞ output feedback controller design procedure as solving a set of bilinear matrix inequalities (BMIs). The BMIs problem in this paper can be solved iteratively as a set of two convex optimization problems involving linear matrix inequalities (LMIs) which can be efficiently solved numerically. A numerical example is used to illustrate the proposed method.

Key words and phrases

Piecewise-linear systems H∞ control parameter uncertainty output feedback 

2000 Mathematics Subject Classification

93B36 
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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Institute of Systems EngineeringTianjin UniversityTianjinChina

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