APPLICATION OF AVERAGING METHOD FOR INTEGRODIFFERENTIAL EQUATIONS TO MODEL-REFERENCE ADAPTIVE-CONTROL OF PARABOLIC-SYSTEMS

被引:26
作者
HONG, KS [1 ]
BENTSMAN, J [1 ]
机构
[1] UNIV ILLINOIS, DEPT MECH & IND ENGN, URBANA, IL 61801 USA
基金
美国国家科学基金会;
关键词
MODEL REFERENCE ADAPTIVE CONTROL; AVERAGING METHOD; PARTIAL DIFFERENTIAL EQUATION; CONVERGENCE ANALYSIS; STABILITY;
D O I
10.1016/0005-1098(94)90006-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
An averaging theorem for integro-differential equations is applied to the convergence analysis of controller parameters of a model reference adapative control (MRAC) algorithm for a class of parabolic partial differential equations (PDEs) with constant coefficients. The stability of an adaptive control algorithm is proven as well.
引用
收藏
页码:1415 / 1419
页数:5
相关论文
共 17 条
[1]  
Anderson B.D.O., 1986, STABILITY ADAPTIVE S
[2]  
BAINOV DD, 1977, PUBL RIMS KYOTO U, V13, P583
[3]  
BAKHABOV GM, 1969, UKR MAT ZH, V21, P675
[4]   VIBRATIONAL CONTROL OF NONLINEAR-SYSTEMS - VIBRATIONAL STABILIZABILITY [J].
BELLMAN, RE ;
BENTSMAN, J ;
MEERKOV, SM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (08) :710-716
[5]   VIBRATIONAL CONTROL OF NONLINEAR TIME-LAG SYSTEMS - VIBRATIONAL STABILIZATION AND TRANSIENT-BEHAVIOR [J].
BENTSMAN, J ;
HONG, KS ;
FAKHFAKH, J .
AUTOMATICA, 1991, 27 (03) :491-500
[6]   VIBRATIONAL STABILIZATION OF NONLINEAR PARABOLIC-SYSTEMS WITH NEUMANN BOUNDARY-CONDITIONS [J].
BENTSMAN, J ;
HONG, KS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (04) :501-507
[7]  
Bogolyubov N. N., 1961, ASYMPTOTIC METHODS T
[8]  
ESHMATOV K, 1974, DIFF EQUAT, V10, P868
[9]  
FILATOV AN, 1967, DIFF EQUAT, V3, P896
[10]  
FILATOV AN, 1969, DIFF EQUAT, V5, P701