涡喷发动机H_∞控制参数化Ricati方程的解

SOLUTION OF PARAMETRIC RICCATI EQUATION ON TURBOJET ENGINE H ∞ CONTROL

关键词:  涡轮喷气发动机  结构参数  鲁棒控制  仿真试验  性能分析

Key words:  Turbojet engine  Structured parameter  Robost control  Simulated test  Performance analysis

摘要:

由分块矩阵的奇异值不等式关系，给出了初猜值γ０、λ０的对半求解法，在此基础上直接给出带参数的Ｒｉｃｃａｔｉ方程迭代求解法。用此方法对涡喷发动机不确定性系统设计了控制器，并在发动机气动热力学非线性模型上进行了仿真验证，结果表明控制系统能够取得满意的鲁棒性能、抗干扰性能和伺服跟踪性能。

Abstract:

Focused on solving parametric Riccati equation which is the key point of designing an output feedback robust H ∞ controller to structured parameter uncertain systems,the dichotomy for solving initial guess value γ 0,λ 0 was achieved using the relation of singular value inequality of blocked matrix.Furthermore,the iterative algorithm for parametric Riccati equations was presented directly.The controller to turbjiet engine with structured parameter uncertainty was designed and verified using simulations on nonlinear model of twin spool turbojet engine aerothermodynamics.It showed that robust disturbance rejection and servo tracking performance for control systems can be guaranteed.