区间对象族的可镇定性分析

Stabilizability analysis of interval plant family

参数鲁棒镇定问题(RSP)是针对具有参数不确定性的被控对象族设计一个鲁棒控制器C(s),该控制器可以鲁棒镇定对象中的每一个对象。RSP一直以来是鲁棒控制研究领域的难点和重点。被控对象Ρ(s,δ)的可镇定性是其鲁棒镇定问题的可解性条件。可镇定性半径δS定义为对象族满足可镇定性条件其不确定性参数向量δ的最大范数界,当‖δ‖<δS时对象族Ρ(s,δ)中任一对象都满足可镇定性。对具有纯虚零极相消的区间对象族进行研究,提出其可镇定性半径的解析计算方法。

The robust stabilization problem （RSP） for a plant family is to find a single proper controller C（s） to stabilize all members of P（s ,δ）. RSP is a difficult problem to handle in robust control research area. Stabilizability of a plant family P （ s ,δ） is a solvability condition for the robust stabilization problem （RSP）. The stabilizability radius δs is the maximal norm bound for the uncertainty parameter vector δ so that every member plant is stabilizable with ｜｜δ｜｜ 〈 δs- In this paper, we solve the calculation problem for the stabilizability radius of the interval plant family in pure imaginary pole-zero cancellation with analytical approach.