Correspondence: Robust stabilization of uncertain time-varying discrete systems and comments on "an improved approach for constrained robust model predictive control"

  • Authors:
  • Wei-Jie Mao

  • Affiliations:
  • National Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, People's Republic of China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2003

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Abstract

This paper addresses the robust stabilizability problem of linear discrete-time systems with time-varying polytopic uncertainties. A state feedback control law is proposed based on the construction of a parameter-dependent Lyapunov function. Also, it points out that the main results of Cuzzola, Geromel, and Morari (Automatica 38 (2002) 1183-1189) are incorrect and presents the corrected version of these results.