OPTIMAL ADAPTIVE LQG CONTROL FOR SYSTEMS WITH FINITE STATE PROCESS PARAMETERS

被引:54
作者
CAINES, PE
CHEN, HF
机构
[1] MCGILL UNIV,DEPT ELECT ENGN,MONTREAL H3A 2T5,QUEBEC,CANADA
[2] CHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA
关键词
CONTROL SYSTEMS; LINEAR - CONTROL SYSTEMS; OPTIMAL - CONTROL SYSTEMS; STOCHASTIC - MATHEMATICAL TECHNIQUES - Differential Equations;
D O I
10.1109/TAC.1985.1103907
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 situation where a totally observed process y//t is generated by a stochastic differential equation whose parameters evolve on a finite set left brace 1,. . . N right brace according to a stochastic differential equation is considered. The optimal control law is sought with respect to quadratic loss functions on y//t and the control u//t. The auxiliary P. D. E. technique of Hijab is used together with a nonlinear filter to obtain the solution whose existence depends upon that of a smooth solution to the auxiliary P. D. E. and strong solutions to the system S. D. E. under the given control inputs.
引用
收藏
页码:185 / 189
页数:5
相关论文
共 10 条
[1]  
CAINES PE, UNPUB RECERCHE AUTOM
[2]  
CAINES PE, 1982, OCT WORKSH AD CONTR
[3]  
CAINES PE, 1981, CONTROL SCI TECHNOLO
[4]  
CHEN HF, 1983, OPTIMAL STOCHASTIC C
[5]  
CHEN HF, 1984, ADAPTIVE SYSTEMS CON
[6]  
EVANS R, 1982, EE8225 U NEWC DEP EL
[7]   THE ADAPTIVE LQG PROBLEM .1. [J].
HIJAB, OB .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (02) :171-178
[8]  
LANDAU YD, 1984, ADAPTIVE SYSTEMS CON
[9]  
LIPTSER RS, 1977, STATISTICS RANDOM PR, V1
[10]  
Wonham W.M., 1965, SIAM J CONTROL, V2, P347