Robust Stabilization and Disturbance Attenuation of Switched Linear Parameter-Varying Systems in Discrete Time

Chapter

Abstract

Nonconservative analysis of discrete-time switched linear parameter-varying systems is achieved via switching path-dependent Lyapunov and Kalman–Yakubovich–Popov inequalities. Exact convex conditions for the synthesis of a class of state-feedback controllers are then expressed in terms of nested unions of linear matrix inequalities. The resulting controllers are robust in the sense that their coefficients depend solely on a finite number of the most recent past modes and parameters, but not on the current mode or parameter.

Keywords

Attenuation Hull 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Electrical EngineeringThe Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Department of Mechanical Science and EngineeringThe University of Illinois at Urbana-ChampaignUrbanaUSA

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