Robust controlled invariant subspaces and disturbance decoupling for uncertain switched linear systems. (14th July 2015)

• Record Type: Journal Article
• Authors: Otsuka, N.; Saito, H.; Conte, G.; Perdon, A. M.
• Is Part Of: IMA journal of mathematical control and information. Volume 34:Number 1(2017)
• Page Start: 139
• Page End: 157
• Publication Date: 2015-07-14
• Subjects: a geometric approach -- a family of linear systems -- disturbance decoupling -- switched linear systems -- arbitrary switching -- state feedback; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dnv037
• Languages: English
• ISSNs: 0265-0754

Abstract

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.