一类不确定时滞系统的输出反馈镇定

Output feedback stabilization of a class of uncertain time-delay systems

对于控制通道中存在时滞的不确定时滞系统,讨论了时滞独立的输出反馈镇定律的设计问题。利用线性矩阵不等式方法给出了鲁棒镇定律的存在条件及镇定律存在时相应的镇定律设计方法。研究结果表明,针对控制通道中存在时滞的一类不确定系统,在一定条件下可以利用线性矩阵不等式方法设计输出反馈镇定律。文中给出了算例以说明方法的应用。

For uncertain systems with time-delay in control channel, design problem of robust output feedback stabilizers independent of delay is discussed. The existence condition is obtained by using linear matrix inequality method, and corresponding design algorithm of robust output stabilizers, if exists, is given. The research results show that under certain conditions, the stabilizers of a class of uncertain systems with time-delay existing in control path can be designed using linear matrix inequality method. An example is given to demonstrate the design procedure.