目的讨论具有时不变的、模有界参数不确定性的离散奇异系统的鲁棒H∞控制问题。方法线性矩阵不等式方法。结果设计了一状态反馈控制律,使所得的闭环系统对所有允许的参数不确定性都是容许的,且具有期望的H∞性能指标。结论深化与丰富了鲁棒H∞控制理论。
Aim To discuss the problem for robust H∞ control of discrete-time signular systems with time-invariant norm-bounded parameter uncertainties. Methods The linear matrix inequalities method is used. Results A static state feedback controller is given, which makes the resulting closed-loop system admissible and prescribes H∞ performance level for all admissible uncertainties. Conclusion The result deepens and enriches content of robust H∞ control theory.