参数摄动系统的鲁棒LQ反馈控制

ROBUST LQ FEEDBACK CONTROL FOR SYSTEMS WITH PARAMATER PERTURBATION

本文研究了不确定系统的鲁棒ＬＱ反馈控制器的综合问题．对于具有线性有界实参数摄动的系统，首先把不确定系统的鲁棒ＬＱ综合问题转化成Ｎ个确定系统的联立ＬＱ综合问题．并据此提出了相应的综合算法．理论分析和实例计算结果表明所提出的方法具有较广的应用范围和较少的保守性．

The problem of designing controllers for uncertain systems is studied. First,the problem of robust LQ synthesis for systems with linear bounded parameter perturbation is converted into the problem of simultaneous LQ synthesis of N deterministic systems, and then the corresponding algorithms for robust LQ synthesis arepresented. Theoretical analysis and examples show that the method presented is more flexible and less conservative than previous ones.