不确定线性组合系统的鲁棒H_∞性能的判定

Conditions for Robust H_∞ Property of Linear Composite Systems

针对一类线性组合不确定系统的结构特征提出了分散鲁棒 H∞ 性能的概念。它充分利用组合系统的互联结构 ,为研究大系统 H∞ 性能提供了新途径。给出了大系统具有分散鲁棒 H∞ 性能的条件 ,以及利用分散鲁棒 H∞ 性能判断大系统的整个鲁棒 H∞ 性能的方法。结果表明 ,大系统的 H∞ 性能与子系统H∞ 性能密切相关。只要每个子系统具有鲁棒 H∞ 性能 ,则在同样的控制条件下 ,大系统也具有鲁棒 H∞性能 ,只是性能指标弱一些。

The definition of decentralized robust H ∞ property is proposed based on the structure of composite systems. It is a new method to research decentralized robust H ∞ property by using of the interconnection structure. The existence conditions of decentralized robust H ∞ property are presented. The relationship between the decentralized robust H ∞ property and generalized robust H ∞ property is discussed. The conditions of generalized robust H ∞ property are given with decentralized robust H ∞ property of subsystems. The conclusion shows that the composite system would have H ∞ property at the same conditions, if each isolate subsystem had robust H ∞ property. The only difference is that the constant index is bigger.