独立摄动参数不确定线性系统的正实控制

Positive Real Control for Linear Systems with Independent Coefficient Perturbations

考虑了一类范数有界参数不确定线性系统的鲁棒正实性分析和设计问题,其中参数不确定性是独立摄动的.通过构造增广系统将不确定系统的鲁棒正实分析和控制问题转化为确定系统的情形,给出了鲁棒正实分析问题的线性矩阵不等式解法,导出了输出反馈控制器的存在条件.所得结论将范数有界参数不确定系统的鲁棒正实分析和控制的现有结果推进了一步.

Robust positive real analysis and synthesis problems systems, where the parameters are perturbed independently. are considered for a class of norm-bounded uncertain It is shown that robust positive real analysis and synthesis of the uncertain systems can be converted into those of some augmented systems without uncertainties. The robust positive real analysis problem is solved by using LMI approach. The existence conditions of output feedback controller are derived. The existing results on the robust positive real control for norm-bounded uncertain systems are generalized.