Quadratic stabilizability for polytopic uncertain continuous-time switched linear systems via switched observer

In this paper, we study a quadratic stabilizability problem via estimated state feedback for uncertain continuous-time switched linear systems whose subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous-time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via estimated state feedback are presented. The obtained result is an extension of the result of [14] to the polytopic uncertain subsystems with switched outputs. Further, a numerical example is also investigated.