Robust stability for singular systems with Frobenius norm-bounded uncertainties
具Frobenius有界不确定性广义系统的鲁棒稳定性(英文)

This paper is to discuss the problems of stability and robust stabilization for singular systems with Frobenius norm bounded uncertainties. The necessary and sufficient conditions of generalized quadratical stability, which guarantees that the uncertain singular system is stable, regular and impulse free for all admissible uncertainties, can be obtained by solving an algebraic Riccati inequality or an algebraic Riccati equation. Furthermore, the design method of robustly stabilizing state feedback controller can be constructed in terms of the solution of a certain matrix equation. A numerical example is given illustrating the effectiveness of the proposed approach.