分式不确定性系统基于参数化特征结构配置的H_∞干扰抑制

H_∞ disturbance attenuation based on parametric eigenstructure assignment for a class of uncertain systems

针对含有分式不确定性的连续时间系统,研究了其含有极点约束的鲁棒H∞干扰抑制问题.基于扩展的有界实定理,通过设计状态反馈,使得闭环系统既满足H∞干扰抑制要求,又满足鲁棒极点配置要求.该设计方法最后可以转化为一组耦合的线性矩阵不等式,利用MATLAB LM I工具箱可以很容易得到反馈增益.一个数值例子表明了该方法的有效性.

Muhiobjective control synthesis based on H∞ disturbance attenuation blended with robust eigenstructure assignment is considered for a class of systems containing linear fractional uncertainties. In virtue of the modified bounded real lemma （BRL）, a state feedback controller is designed to achieve a compromise between the H∞ - norm bound and pole constraints. The proposed design method is formulated in terms of linear matrix inequalities （LMIs） which can be easily solved by LMI Toolbox of the MATLAB. A numerical example demonstrates the effect of the proposed design approach.