设计多变量鲁棒控制系统的正规矩阵方法
The Normal Matrix Approach to the Design of Multivariable Robust System
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摘要: 本文研究了设计多变量鲁棒控制系统的正规矩阵方法,证明了正规传递函数矩阵是H∞ 范数最优的一个充分条件,从而表明,正规矩阵方法可以达到与H∞方法同样好的鲁棒性.在 此基础上,提出一种正规矩阵参数优化设计方法,该方法既保证了系统的鲁棒性又可兼顾系统 的动静态性能,同时所得到的控制器比较简单.Abstract: This paper systematically studies the Normal Matrix Approach to the design of multivariable robust control systems. It can be proved theoretically that the normal transfer-function matrix is a sufficient condition that optimizes the H∞ norm. So that, the Normal Matrix Approach can achieve the same good robustness as the H∞ approach. Moreover on the basis of normal matrix theory, a design method called Optimization of Parametrized Normal Matrix is proposed. This method is able to give comprehensive consideration to the robustness, dynamic and static performance, and obtain a simple controller.
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Key words:
- multivariable control system /
- normal matrix /
- robust control /
- H∞ control theory
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