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针对l2-l∞性能这一类扰动抑制度指标设计滤波器,使滤波误差系统是鲁棒D(a,r)-稳定的(当外部扰动恒为零时),且l2-l∞性能指标上界尽可能的小.采用线性矩阵不等式方法,给出了l2-l∞滤波器存在的充分条件,进而提出滤波器的设计方法.通过数值算例验证了该方法的可行性.
For the l2-l∞ performance disturbance rejection index, a filter is designed so that the filtering error system is robust D (a, r) -stable (when the external disturbance is constant at zero) and the l2-l∞ performance index The upper bound is as small as possible.The sufficient condition of existence of l2-l∞ filter is given by the method of linear matrix inequality (LMI), then the design method of the filter is proposed.The numerical example shows the feasibility of this method.