Robust Output Strictly Passive H-Infinity Control of Uncertain Switched Singular Systems

Stability of some switched singular systems is sensitive to the perturbations of the derivative matrices, and impulsive behaviors and state jumps at switching instants are often unavoidable. In this work, the problem of output strictly passive H-infinity control is studied for switched singular systems with uncertainties in the derivative matrices. Based on multiple storage functions, sufficient conditions are obtained to ensure that the closed-loop systems are asymptotically stable and satisfy H-infinity performance. By introducing some appropriate free-weighting matrices and constructing appropriate transformation matrices, the strong nonlinear problem encountered in the process of controller design is solved, and proportional-derivative state feedback controllers with explicit expressions are given. Finally, simulation results indicate the feasibility and effectiveness of the proposed method.