不确定线性中立时滞系统的时滞相关鲁棒H_∞控制

Pelay-dependent robust H_∞ control for a class of uncertain neutral systems

研究了一类线性参数不确定中立时滞系统的时滞依赖型鲁棒H∞控制问题.首先建立了一个时滞依赖型稳定准则;其次基于LMI正定解的存在性,给出了一个使该中立时滞系统的标称系统达到渐近稳定且保持给定H∞范数的充分条件;最后给出参数不确定系统的鲁棒H∞控制器存在的充分条件与设计方案.

<Abstrcat>This paper is concerned with the robust H∞ control problem for linear neutral delay systems subject to parameter uncertainty.The methods of robust stabilization and robust H∞control which are dependent on the size of the delay and are based on the solution of linear matrix inequalities.First,are developed a delay-dependent stability criterion is presental.Then, a sufficient condition for the existence of the desired controller for the robust H∞control problem is provided.At last, a scheme of robust H∞controller to the uncertainty systems is given.