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

  • Ji-Woong Lee
  • Geir E. Dullerud
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

Linear Matrix Inequality Mode Sequence Disturbance Attenuation Switch Linear System Active Magnetic Bearing 
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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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