对一类含有参数不确定性的状态、控制输入和输出都含有时变时滞的广义系统,研究其基于观测器的鲁棒无源控制问题.假定其中的时变不确定项是范数有界的,但不需要满足匹配条件,利用Lya-punov函数方法和线性矩阵不等式法,给出了闭环系统广义二次稳定和鲁棒严格无源的充分条件,构造出期望的观测器和控制器,最后举例说明了所提出方法的可行性.
As for a class of parameter uncertain descriptor systems with time-varying delay in state equation,controlling input equation and output equation,the problem of observer-based robust passive control is discussed.Suppose that the timevarying uncertain parameters are norm-bounded,but the matched conditions are not required to satisfy.Utilizing the methods of Lyapunov function and the linear matrix inequality(LMI),the sufficient condition for the generalized quadratic stability and the robust strictly passive of the closed-loop system are given.Moreover,the observer gain and the controller gain are constructed.Finally,a numerical example is given to show the validity of the proposed approach.