摘要
提出了结构摄动系统鲁棒控制器设计的“正交特征向量法”，给出了系统结构摄动完全被抑制的充分条件。本方法不仅保证闭环系统对某些结构摄动具有良好的鲁棒性，特别是能够通过设计闭环系统的主导极点，使系统获得良好的动态响应特性。应用本方法设计了双转子涡喷发动机稳态鲁棒控制器，得到了较满意的效果。
Although LQG(LinearQuadraticGaussian) method has been much used in robust control of a structural perturbation system, we found that improvement could be achieved by making the eigenvector of closeloop control system as closely orthogonal as possible to two matrices to be named later. Our mathematical derivation was lengthy and is difficult to describe. So we describe only its essential features. Matrices M and N in eq.(2) were the matrices we liked to have the eigenvector (eigenvector of the closeloop control system with a structural perturbation in a turbojet engine) to be orthogonal to. “Weighting” concept was introduced by Harvey and Stein to minimize just the cost function [J=∫ ∞ 0(r T Wr+ρu T Ru) d t] . We extended their “weighting” concept to include also the orthogonality problem in the minimization of J . Of course we had to devise a number of mathematical steps in order to do this “weighting” job such that our problem could be solved. We took a certain type of Chinese turbojet engine as numerical example. In Fig.2, the ordinate is singular value of transfer function and the abscissa is frequancy. In Fig.3, the ordinate is engine speed and the abscissa is time in seconds. Figs.2 and 3 do show that robustness of the controller of structural perturbation of this turbojet engine is significantly improved. Our approach is not limited to turbojet engine, but is also applicable to other structural perturbation systems.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1997年第2期264-268,共5页
Journal of Northwestern Polytechnical University
