多变量H_∞控制问题的显式解(第一部分:非退化情形)

Explicit Solution Expressions of the Multivariable H∞ Control Problems

本文研究了多变量H_∞控制问题的显式解法。本文第一部分,在s域上,从输入输出观点给出了非退化情形的统一显式解,本文第二部分,给出了退化情形的统一显式解。由于H_∞最优控制对应于H_∞的退化解,退化情形具有十分重要的意义。这二种情形的统一显式解,对于控制系统设计以及H_∞解的性质的研究,带来很大的方便性。

This paper gives the explicit solution expressions of the multivariable H∝ control problem in s do-main. The first part gives the unified explicit solution expressions for non-degenerate case from the input and out-put point of view. The second part gives the unified explicit solution expressions for degenerate case which is very important, since the H∝ optimal control is corresponding to the degenerate case. These unified explicit expressions bring convenience to the design of control systems and the research on the properties of the solutions of H∞ control.