基于线性矩阵不等式的结构摄动系统H_∞鲁棒控制

H ∞ ROBUST CONTROL OF SYSTEMS WITH STRUCTURED PERTURBATIONS BASED ON LINEAR MATRIX INEQUALITY

关键词:  航空发动机  控制系统  动态控制  鲁棒控制

Key words:  Aircraft engine  Control system  Dynamic control  Robost control

摘要:

研究具有结构摄动系统的鲁棒Ｈ∞动态输出反馈控制问题。结构摄动系统的二次稳定解等价于辅助线性时不变系统Ｈ∞标准设计问题的解。基于线性矩阵不等式（ＬＭＩ）方法，给出了用３个线性矩阵不等式表征的这一问题的可解条件。通过求解３个线性矩阵不等式便可获得鲁棒控制解。该方法应用于某型双转子涡喷发动机稳态控制器的设计，取得了预期的效果。

Abstract:

The robust H ∞ dynamic output feedback control problem for the systems with structured perturbations was investigated.The quadratic stability solution to the problem was equivalent to the solution to H ∞ regular design problem for auxiliary linear time invariant system.Based on the Linear Matrix Inequality(LMI)approach,the solvable conditions of the problem were given in terms of three linear matrix inequalities.The robust control solutions can be constructed through solving the LMIs.This method was applied to design the steady state controller of a certain double spool turbojet aero engine,and the expected results were obtained