一类不确定离散系统的严格正实分析和设计

Strict positive real analysis and design for discrete-time systems with parametric uncertainty

中文关键词  线性多变量系统  参数不确定性  严格正实  正实控制

英文关键词  linear multivariable systems  parametric uncertainty  strict positive real  positive real control

中文摘要

      考虑了一类不确定离散多变量系统严格正实分析和控制问题,其中不确定参数具有非负性.分析了系统鲁棒稳定且严格正实的条件,讨论了状态反馈、输出反馈使闭环系统鲁棒稳定且严格正实的问题.将不确定系统的鲁棒严格正实分析和设计转化为确定系统的严格正实分析和控制,得到了系统鲁棒稳定且严格正实的充分必要条件.最后给出了鲁棒严格正实控制问题的可解条件及控制器的综合方法.

英文摘要

      The strict positive real analysis and design of discrete-time systems with positive real parametric uncertainty are considered.First,conditions are characterized for which the uncertain systems are robust stable and strict positive real.Then state feedback and output feedback controllers to achieve robust stability and strict positive realness are discussed respectively.It is shown that the strict positive real analysis and design of the uncertain systems can be reduced to those of related systems without uncertainty.Sufficient and necessary conditions are derived for the uncertain systems to be robust stable and strict positive real.Solvable conditions of the robust positive real control problem are also obtained.At last,methods of designing robust strict positive real controllers are given.