H-infinity state feedback control for a class of uncertain discrete-time switched descriptor systems with state delay

The state feedback robust H-infinity control problem is investigated for discrete-time state delay switched linear descriptor systems with exponential uncertainties in this note. Aiming at the effect of exponential uncertainties, we first treats the uncertain exponential terms as polynomial uncertainty with an additive norm bounded uncertainty based on Taylor series approximation and convex polytope technique, and then a switching strategy and state feedback sub-controllers design are stated to guarantee the H-infinity performance of the whole discrete-time switched linear descriptor system with state delay by using multiple Lyapunov function technology and LMI approach. Finally, a numerical example is presented to illustrate our results.