Robust controlled invariant subspaces and disturbance decoupling for uncertain switched linear systems

N. Otsuka, H. Saito, A. M. Perdon, G. Conte

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we will first study two robust controlled invariant subspaces under common input for a family of vertex systems and for a family of subsystems. Next, disturbance decoupling problems under arbitrary switching via state feedback for polytopic uncertain switched linear systems are formulated, and necessary and sufficient conditions for the problems to be solvable are presented. Further, the disturbance decoupling problems with exponential stability under arbitrary switching are also formulated, and solvability conditions for the problems are briefly discussed. Finally, a numerical example is also investigated.

Original languageEnglish
Pages (from-to)139-157
Number of pages19
JournalIMA Journal of Mathematical Control and Information
Volume34
Issue number1
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • A family of linear systems
  • A geometric approach
  • Arbitrary switching
  • Disturbance decoupling
  • State feedback
  • Switched linear systems

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