带非线性参数摄动不确定系统的鲁棒D稳定和鲁棒镇定

RobustD stability and stabilization for uncertain system with nonlinear parameters perturbation

为了研究带二次不确定参数线性系统的鲁棒D稳定和鲁棒镇定问题,考虑了D域为复平面左半平面的圆盘域,并采用线性矩阵不等式(LM I)方法,证明该系统鲁棒D稳定的充分条件等价于一个线性矩阵不等式的可解性问题,利用该LM I的可行解可求得了系统鲁棒镇定状态反馈控制器。通过实例说明了该方法的有效性。

In order to research the robust D stability and stabilization that addressed for the systems with quadratic uncertain parameters, given that the stability domain is a disk in the left-half complex plane, and by LMI method, a sufficient condition for such systems is proved to be equivalent to the feasibility of a Certain linear matrix inequality（LMI）. By the feasible solution of the LMI, the state-feedback controllers for the robust stabilization of the systems arc obtained. Examples show the eflectiveness of the method.