极点约束不确定系统非脆弱滤波器的设计

针对一类具有参数不确定性的线性系统,研究其闭环极点区域约束下的鲁棒非脆弱滤波器的设计问题.在对象及滤波器同时存在不确定性的情况下,控制目标要求闭环系统鲁棒稳定,干扰抑制性能指标小于给定的上界,并且闭环极点配置于复平面上指定的圆盘内.针对系统和滤波器具有乘法增益摄动的情况,以线性矩阵不等式的形式给出了非脆弱滤波器的可解性条件.数值算例表明了该方法的有效性.

Design of non-fragile filter for uncertain linear system with pole constraints

The design of robust and non-fragile filter with regional pole constraint in a disk is investigated for a class of uncertain systems with parametric uncertainties.Under the condition that the uncertainty is existed in the system and filter,the resulting design is that the closed-loop system is robustly stable,the disturbance attenuation index is lower that the upper bound,and the closed-loop poles are assigned in a specific disk region of the complex plane as well.Multiplicative perturbations are considered...