2 TIME-SCALE FEEDBACK STABILIZATION OF LINEAR TIME-VARYING SINGULARLY PERTURBED SYSTEMS

被引:13
作者
OREILLY, J
机构
[1] Department of Electrical Engineering and Electronics, University of Liverpool, Liverpool
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1979年 / 308卷 / 05期
关键词
D O I
10.1016/0016-0032(79)90053-X
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The stabilization of a class of singularly perturbed linear time-varying systems is considered through the separate stabilization of two lower dimensional subsystems in two different time-scales. A composite stabilizing controller is synthesized from the separate stabilizing controllers of the two subsystems, the mutually independent gains of which do not require knowledge of the small singular perturbation parameter. © 1979.
引用
收藏
页码:465 / 474
页数:10
相关论文
共 14 条
[1]  
Anderson B.D.O., 1971, LINEAR OPTIMAL CONTR
[2]  
Chang K., 1972, SIAM J MATH ANAL, V3, P520, DOI [10.1137/0503050, DOI 10.1137/0503050]
[3]   DECOMPOSITION OF NEAR-OPTIMUM REGULATORS FOR SYSTEMS WITH SLOW AND FAST MODES [J].
CHOW, JH ;
KOKOTOVIC, PV .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :701-705
[4]   STABILIZATION OF LINEAR-SYSTEMS [J].
IKEDA, M ;
MAEDA, H ;
KODAMA, S .
SIAM JOURNAL ON CONTROL, 1972, 10 (04) :716-729
[5]  
Klimushev A.I., 1961, PRIKL MAT MEKH, V25, P680
[6]   SINGULAR PERTURBATION OF LINEAR REGULATORS - BASIC THEOREMS [J].
KOKOTOVI.PV ;
YACKEL, RA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (01) :29-&
[7]   SINGULAR PERTURBATIONS AND ORDER REDUCTION IN CONTROL-THEORY - OVERVIEW [J].
KOKOTOVIC, PV ;
OMALLEY, RE ;
SANNUTI, P .
AUTOMATICA, 1976, 12 (02) :123-132
[8]   SINGULAR PERTURBATIONS OF A CLASS OF TIME-OPTIMAL CONTROLS [J].
KOKOTOVIC, PV ;
HADDAD, AH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1975, AC20 (01) :163-164
[9]   DESIGN OF STABILIZING FEEDBACK CONTROLLERS FOR A CLASS OF MULTIVARIABLE LINEAR-SYSTEMS WITH SLOW AND FAST MODES [J].
PORTER, B .
INTERNATIONAL JOURNAL OF CONTROL, 1976, 23 (01) :49-54
[10]   SINGULAR PERTURBATION METHODS IN SYNTHESIS OF FEEDBACK-CONTROL LAWS FOR EIGENVALUE-ASSIGNMENT IN MULTIVARIABLE LINEAR-SYSTEMS [J].
PORTER, B .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1976, 7 (05) :597-601