具有非线性扰动的不确定奇异系统的广义二次稳定性

Generalized Quadratic Stability for Uncertain Singular Systems with Nonlinear Perturbation

当非线性扰动满足Lipschitz条件时,利用S-程序引理和线性矩阵不等式解决了不确定奇异系统的广义二次稳定性问题,并给出了扰动的界.同时,非线性扰动正常系统的鲁棒稳定性问题也得到了解决.最后,利用算例验证了此方法的有效性.

The generalized quadratic stability problem is solved for uncertain singular system under the nonlinear perturbation satisfying lipschitz - condition in this paper. And the maximal perturbation bound for uncertain singular systems is presented in terms of S - procedure and linear matrix inequality （LMI）. Furthermore, robust stability for uncertain nonsingular systems with perturbation can be obtained as a special case. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.