Journal of Applied Mathematics and Computing

, Volume 26, Issue 1–2, pp 419–432

Robust ℋ performance analysis and synthesis of discrete-time LPV systems


DOI: 10.1007/s12190-007-0032-1

Cite this article as:
Lee, S.M. & Park, J.H. J. Appl. Math. Comput. (2008) 26: 419. doi:10.1007/s12190-007-0032-1


We propose a less conservative linear matrix inequalities (LMIs) condition for ℋ performance analysis and synthesis of discrete-time linear parameter varying (LPV) systems. The time varying parameter is represented by a linear fractional form. Sufficient conditions for ℋ performance and controller synthesis are given in terms of a finite number of LMIs using parameter dependent Lyapunov functions.


Discrete time LPV systems Parameter dependent Lyapunov functions LMI 

Mathematics Subject Classification (2000)

34D20 93D15 

Copyright information

© KSCAM and Springer-Verlag 2007

Authors and Affiliations

  1. 1.Platform Verification DivisionBcN Business Unit, KT Co. Ltd.DaejeonRepublic of Korea
  2. 2.Nonlinear Dynamics Laboratory, Department of Electrical EngineeringYeungnam UniversityKyongsanRepublic of Korea

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