ROBUST STRICT POSITIVE REAL STABILIZATION CRITERIA FOR SISO UNCERTAIN SYSTEMS

被引:6
作者
JIA, YM [1 ]
GAO, WB [1 ]
CHENG, M [1 ]
机构
[1] BEIJING UNIV AERONAUT & ASTRONAUT,DIV RES 7,BEIJING 100083,PEOPLES R CHINA
关键词
ROBUST CONTROL; STRICT POSITIVE REALNESS; UNCERTAIN SYSTEMS; SYSTEM SYNTHESIS; STABILIZATION CRITERION;
D O I
10.1016/0167-6911(92)90094-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is devoted to the study of robust strict positive real stabilization criteria for SISO uncertain systems, i.e., considering the problem of when a single controller not only robustly stabilizes a plant with uncertainty under unity-feedback but also enables the closed-loop system to be robustly strictly positive real. The uncertain system models with both parameter variation and unstructured perturbation are considered and some necessary and sufficient conditions for the problem are derived.
引用
收藏
页码:111 / 117
页数:7
相关论文
共 13 条
[1]  
ABDALLAH C, 1991, P ACC
[2]   ROBUST GAMMA-STABILITY ANALYSIS IN A PLANT PARAMETER SPACE [J].
ACKERMANN, J ;
KAESBAUER, D ;
MUENCH, R .
AUTOMATICA, 1991, 27 (01) :75-85
[3]   ROBUST STRICT POSITIVE REALNESS - CHARACTERIZATION AND CONSTRUCTION [J].
ANDERSON, BDO ;
DASGUPTA, S ;
KHARGONEKAR, P ;
KRAUS, FJ ;
MANSOUR, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (07) :869-876
[4]  
BARMISH BR, 1988, IEEE CDC P
[5]   ON ROBUST NONLINEAR STABILITY OF INTERVAL CONTROL-SYSTEMS [J].
CHAPELLAT, H ;
DAHLEH, M ;
BHATTACHARYYA, SP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (01) :59-67
[6]   On the criteria for the stability of small motions [J].
Frazer, RA ;
Duncan, WJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1929, 124 (795) :642-654
[7]   FREQUENCY-DOMAIN CONDITIONS FOR STRICTLY POSITIVE REAL FUNCTIONS [J].
IOANNOU, P ;
TAO, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (01) :53-54
[8]  
JIA YM, 1991, UNPUB ROBUST STRICT
[9]  
JIA YM, 1991, UNPUB NEW DESIGN APP
[10]   STRICTLY POSITIVE REAL TRANSFER-FUNCTIONS REVISITED [J].
LOZANOLEAL, R ;
JOSHI, SM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (11) :1243-1245