Robust stabilization and disturbance attenuation of switched linear parameter-varying systems in discrete time

Nonconservative analysis of discrete-time switched linear parameter-varying systems is achieved via switching path-dependent Lyapunov and Kalman-Yakubovich-Popov inequalities. Exact convex conditions for the synthesis of a class of state-feedback controllers are then expressed in terms of nested unions of linear matrix inequalities. The resulting controllers are robust in the sense that their coefficients depend solely on a finite number of the most recent past modes and parameters, but not on the current mode or parameter.