一类不确定奇异系统的广义二次稳定性

Generalized quadratic stability for a class of uncertain singular systems

不确定奇异系统是一类重要的控制系统。为了深入分析一类带非线性扰动的不确定连续时间奇异系统的解的性质及其广义二次稳定性,寻找此类系统广义二次稳定的充分必要条件,首先引入了此类系统广义二次稳定的概念,运用系统状态的坐标变换,利用S-Procedure引理、线性矩阵不等式和Schur补引理,给出了此类系统的解存在且唯一的充分条件,进一步给出了此类系统广义二次稳定的充分必要条件。

Uncertain singular systems are an important class of control systems.The solution characteristics of a class of uncertain continuous-time singular systems with nonlinear continuous-time perturbations were analyzed to identity the generalized quadratic stability conditions for the class of singular systems.The necessary and sufficient condition was found for the generalized quadratic stability for the singular systems.A sufficient condition for the existence and uniqueness of solutions to this class of singu...