一类不确定性系统的鲁棒正实性分析与综合

考虑一类具有多项式型不确定性系统的鲁棒正实性分析和综合问题。这类不确定模型是区间摄动和范数有界摄动系统的自然推广。给出了一个系统具有鲁棒扩展严格正实性 (ESPR)的充分条件 ,利用该条件可估计出使系统保持 ESPR的最大参数摄动范围。在 ESPR分析的基础上 ,进一步给出了ESPR控制器的存在条件和控制器的构造方法。通过凸优化算法 ,得到了所提出方法意义下具有最大摄动界的 ESPR控制器设计方法。

Robust positive realness analysis and synthesis for a class of systems with uncertainties

Robust positive realness analysis and synthesis problem is dealt with for a class of systems with polynomial form parameter uncertainties. A sufficient condition of robust extended strictly positive realness (ESPR)ispresentedfortheuncertain systems, and it also can be utilized to estimate the perturbation bound such that ESPR holds. On the basis of ESPR analysis, the solvability conditions to ESPRcontrolareprovidedviastate and output feedback respectively. Moreover, an approach is obtainedtodesigncontrollervia convex programming algorithm such that the closed loop system is ESPR and has maximum perturbation bound under the method.