一类不确定奇异系统的鲁棒控制

Robust control of a class of uncertain singular systems

研究一类不确定奇异系统的广义二次可稳性问题,给出此类不确定奇异系统广义二次稳定及广义二次可稳的概念,通过构造线性矩阵不等式,并利用矩阵Schur补引理,获得了此类不确定奇异系统广义二次可稳的充分必要条件,同时提出了闭环系统状态反馈控制律的设计方法,并用数值算例验证了该方法的有效性.

The problem of the generalized quadratic stabilization for a class Of uncertain singular systems is considered. The concepts of generalized quadratic stability and generalized quadratic stabilization for the class of uncertain singular systems are given. By constructing some linear matrix inequalities and using the matrix Schur complement lemma, the necessary and sufficient condition of the generalized quadratic stabilization for this class of uncertain singular system are obtained, and also the design method of state feedback controller is presented. Finally, a numerical example is provided to demonstrate the effectiveness of the design method.