Input and output strictly passive $$H_\infty $$ control of continuous switched singular systems

Abstract

In this work, the problem of input and output strictly passive $$H_\infty $$ control is investigated, respectively, by proportional plus derivative state feedback (PDSF) and derivative state feedback (DSF). First, the concept of quadratically normal and quadratically stable (QNQS) is extended to switched singular systems. Second, some sufficient conditions are obtained to guarantee that the closed-loop switched singular systems are QNQS and satisfy $$H_\infty $$ performance, and explicit expressions of PDSF and DSF controllers are given. Finally, simulation examples are given to show the effectiveness of the proposed methods.