On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators

被引:55
作者
Saberi, A [1 ]
Hou, P
Stoorvogel, AA
机构
[1] Washington State Univ, Sch Elect Engn & Comp Sci, Pullman, WA 99164 USA
[2] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
基金
美国国家科学基金会;
关键词
almost disturbance decoupling; global stability; saturation;
D O I
10.1109/9.863591
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 deals with simultaneous global external as well as global internal stabilization of linear systems with saturating actuators. The paper proposes a new family of scheduled low-and-high gain state feedback laws that yields a closed-loop system that is both globally finite gain L(p) stable and globally asymptotically stable, Moreover, the controller has an explicit design parameter that can be adjusted to make the L(p) gain of the closed-loop system arbitrarily small.
引用
收藏
页码:1042 / 1052
页数:11
相关论文
共 24 条
[1]  
BERNSTEIN DS, 1995, INT J ROBUST NONLINE, V5
[2]  
Hou P, 1997, IEEE DECIS CONTR P, P4510, DOI 10.1109/CDC.1997.649681
[3]   Simultaneous external and internal stabilization for continuous and discrete-time critically unstable linear systems with saturating actuators [J].
Hou, P ;
Saberi, A ;
Lin, ZL ;
Sannuti, P .
AUTOMATICA, 1998, 34 (12) :1547-1557
[4]  
Kato T., 1976, PERTURBATION THEORY
[5]   NOTE ON ALGEBRAIC MATRIX RICCATI EQUATION [J].
KWON, WH ;
PEARSON, AE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (01) :143-144
[6]  
LIN ZG, 1993, PROCEEDINGS OF THE 32ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P1820, DOI 10.1109/CDC.1993.325505
[7]   A SEMIGLOBAL LOW-AND-HIGH GAIN DESIGN TECHNIQUE FOR LINEAR-SYSTEMS WITH INPUT SATURATION - STABILIZATION AND DISTURBANCE REJECTION [J].
LIN, ZL ;
SABERI, A .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1995, 5 (05) :381-398
[8]   SEMIGLOBAL EXPONENTIAL STABILIZATION OF LINEAR DISCRETE-TIME-SYSTEMS SUBJECT TO INPUT SATURATION VIA LINEAR FEEDBACKS [J].
LIN, ZL ;
SABERI, A .
SYSTEMS & CONTROL LETTERS, 1995, 24 (02) :125-132
[9]   SEMIGLOBAL EXPONENTIAL STABILIZATION OF LINEAR-SYSTEMS SUBJECT TO INPUT SATURATION VIA LINEAR FEEDBACKS [J].
LIN, ZL ;
SABERI, A .
SYSTEMS & CONTROL LETTERS, 1993, 21 (03) :225-239
[10]   SIMULTANEOUS LP-STABILIZATION AND INTERNAL STABILIZATION OF LINEAR-SYSTEMS SUBJECT TO INPUT SATURATION - STATE-FEEDBACK CASE [J].
LIN, ZL ;
SABERI, A ;
TEEL, AR .
SYSTEMS & CONTROL LETTERS, 1995, 25 (03) :219-226