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针对一类具有输入饱和因子的不确定时滞广义系统,利用线性矩阵不等式方法研究了其无源性和无源控制问题,首先,借助于Lypunounov稳定性理论和线性矩阵不等式,给出并证明了广义系统稳定并具有严格无源性的充分条件。进一步,给出了系统无源控制器存在的充分条件,该充分条件以线性矩阵不等的形式给出。最后,通过求解线性矩阵不等式,给出无源性控制器的设计方法。数值算例与仿真说明上述所提出的方法是有效的。
For a class of uncertain time-delay singular systems with input saturation factor, the problems of passive and passive control are investigated by using the method of linear matrix inequalities. First, with Lypunounov stability theory and linear matrix inequality, Sufficient conditions for a generalized system to be stable and strictly passive. Furthermore, sufficient conditions for the existence of system passive controllers are given. The sufficient conditions are given in the form of linear matrices. Finally, the design method of the passive controller is given by solving the linear matrix inequality. Numerical examples and simulations show that the proposed method is effective.