摘要
针对一类线性连续系统 ,同时考虑对象和控制器本身的不确定性 ,提出鲁棒非脆弱H∞ 状态反馈控制器设计方法 .假设不确定性时变但范数有界 ,通过线性矩阵不等式的可行解构造控制器 ,以保证闭环系统的鲁棒稳定性及一定的H∞ 衰减水平 .数值示例显示该方法保守性小 。
A robust non fragile H ∞ controller design approach is discussed for a class of linear systems subject to uncertainties in both plant and controller.With assumption that plant uncertainty and controller uncertainty are time varying but non bounded,the sufficient and necessary condition for the existence of such a state feedback controller within a given uncertainty bound is given based on linear matrix inequality.The controller is then constructed by means of the solution of the LMI problem such that the resulting closed loop system is robust stable and has a H ∞disturbance attenuation level.Compared to the existing non fragile H ∞ control results,the approach in this paper needs not any tuning of scalar or matrix and is less conservative.The numerical examples verify its effectiveness.
出处
《河海大学常州分校学报》
2002年第4期7-11,共5页
Journal of Hohai University Changzhou
