A parameter optimization approach to robust PI-controller design for systems with interval plants

作     者：Qinghe WU Bin LV Li XU 

作者机构：Department of Automatic Control Beijing Institute of Technology Beijing 100081 China Department of Electronics and Information Systems Akita Prefectural University 84-4 Ebinokuchi Tsuchiya Honjo Akita 015-0055 Japan 

出 版 物：《控制理论与应用（英文版）》 (J. Control Theory Appl.)

年 卷 期：2008年第6卷第4期

页      面：435-441页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China (No.69904003) the Research Fund for Doctoral Program of the Higher Education (RFDP) (No.1999000701.) 

主　　题：Interval plants Stability radius Eigenvalues PI-controller 

摘      要：The purpose of this paper is to develop an analytic way for designing optimal PI-controllers for the interval plant family. Optimality means that the coefficient intervals of the plant stabilized by a PI-controller is maximized. It will be shown that the optimization problem can be formulated in terms of an eigenvalue minimization problem of matrix pairs of the form （H（h0, g0）, H（δ1,k, δ2,k））, where k= 1, 2, 3, 4 and both H（h0, g0） and H（δ1,k,δ2,k） are frequency independent Hurwitz-like matrices. A numerical example is provided to illustrate that optimal controller parameters can be successfully obtained by a two-dimensional search.