Stabilizability analysis of sphere plants  

作　　者：吕斌 伍清河 徐粒 杨洋 

机构地区：[1]School of Guanghua Management,Peking University [2]Baoshang Bank Post-Doctoral Research Center,Baoshang Bank [3]School of Automation,Beijing Institute of Technology [4]Department of Electronics and Information Systems,Akita Prefectural University [5]No.208 Research Institute of China Ordnance Industries

出　　处：《Journal of Central South University》2012年第9期2561-2571,共11页中南大学学报（英文版）

基　　金：Project(JSPS.KAKENHI22560451) supported by the Japan Society for the Promotion of Science;Project(69904003) supported by the National Natural Science Foundation of China;Project(YJ0267016) supported by the Advanced Ordnance Research Supporting Fund of China

摘　　要：Let P（s, δ） be a sphere plant family described by the transfer function set where the coefficients of the denominator and numerator polynomials are affine in a real uncertain parameter vector δ satisfying the Euclidean norm constraint ｜｜δ｜｜〈δ. The concept of stabilizability radius of P（s, δ） is introduced which is the norm bound δs for δ such that every member plant of P（s, δ） is stabilizable if and only if ｜｜δ｜｜〈δs. The stabilizability radius can be simply interpreted as the ＇largest sphere＇ around the nominal plant P（s,θ） such that P（s, δ） is stabilizable. The numerical method and the analytical method are presented to solve the stabilizability radius calculation problem of the sphere plants.Let P(s,δ) be a sphere plant family described by the transfer function set where the coefficients of the denominator and numerator polynomials are affine in a real uncertain parameter vector δ satisfying the Euclidean norm constraint ||δ||<δ.The concept of stabilizability radius of P(s,δ) is introduced which is the norm bound δs for δ such that every member plant of P(s,δ) is stabilizable if and only if ||δ||<δs.The stabilizability radius can be simply interpreted as the 'largest sphere' around the nominal plant P(s,0) such that P(s,δ) is stabilizable.The numerical method and the analytical method are presented to solve the stabilizability radius calculation problem of the sphere plants.

关 键 词：real parameter uncertainty sphere plant family STABILIZABILITY stabilizability radius 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]