具有匹配不确定的奇异摄动系统的鲁棒控制

Robust Control of Singular Perturbation System with Matching Uncertainties

对于同时具有结构匹配不确定和系统不确定量的奇异摄动系统 ,利用Lyapunov稳定性理论进行了鲁棒性研究。给出了 1个理想奇异摄动系统的稳定鲁棒控制也是不确定奇异摄动系统稳定控制的稳定条件和鲁棒界 ,讨论了鲁棒界及其随参数变化的变化范围。本文是王宪杰 ,高存臣已有结果的推广。

Based on Lyapunov's stability theory, the robust stability of the singular perturbation system is studied in the presence of structure matching and system uncertainties at the same time. The stability conditions and robust bounds of the stability robust controller of any idea singular perturbation system are given, in which the controller is also the stability robust controller of uncertain singular perturbation system. Robust bounds and the changing range of parameter variation are discussed. Result in this work is an extension of that in reference [1].