H-infinity control for a class of uncertain switched descriptor systems

This paper aims to study the H_∞ control problem for a class of uncertain switched descriptor systems. First of all, the definition of quadratically normal and quadratically stable (QNQS) is introduced for switched descriptor systems. Next, adopting switching proportional plus derivative state feedback (SPDSF) and multiple Lyapunov functions methods, some sufficient conditions are obtained to guarantee the closed-loop systems QNQS and satisfy H_∞ performance. Meanwhile the switching strategies are also designed. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.