混合H_2/H_∞控制的典型系统及其反馈控制器设计

Mixed H2/H_∞ Control Design for Special Systems

本文给出了混合H2/H∞控制的完整信息、完整控制、干扰顺馈、输出估计这四种典型情况的描述、在二次稳定意义上的混合H2/H∞性能指标下,讨论了这四种典型情况的混合H2/H∞线性反馈控制器设计,给出了充分必要条件。这四种典型情况的最优混合H2/H∞线性反馈控制器设计,归结为解一个带有参数的Riccati方程,且仅解一个Riccati方程。该Riccati方程随参数变化,包含了单纯的H2和H∞设计,可看作是H2、H∞和混合H2/H∞的统一表达式。最后通过一个简单的例子,说明了本文的方法。

In this paper, we give the descriptions of four special cases for H2/H∞ robust control, full information, full control, disturbance feedforward, and output estimation. The optimal controller design methods for these four special cases are got on a kind of quadratic stable performance. The controller design for these four special cases leads to the solution of only one Riccati equation with parameters. This Riccati equation with the parameters changed includes the H2 and H∞ controller dosing cases and may de treated as the unified expression of H2,H∞ and mixed H2/H∞ control. Finally, a simple example explains our methods.