AN ITERATIVE METHOD FOR THE FINITE-TIME BILINEAR-QUADRATIC CONTROL PROBLEM

被引：77

作者：

HOFER, EP

TIBKEN, B

机构：

[1] Technical Univ of Hamburg, Germany

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1988年 / 57卷 / 03期

关键词：

Chemical Equipment - Reactors - Mathematical Techniques - Iterative Methods - Optimization - Process Control;

D O I：

10.1007/BF02346161

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

For bilinear control systems with quadratic cost, the socalled bilinear-quadratic problems, a feedback controller for the finite-time case is designed. An iteration procedure in close proximity to the Riccati approach is presented, and the proof of convergence is outlined. The potential of the new method is discussed, and the design procedure is illustrated for two examples.

引用

页码：411 / 427

页数：17

共 15 条

[1] ATHANS M, 1966, OPTIMAL CONTROL
[2] Boltyansky V.G., 1966, SIAM J CONTROL, V4, P326
[3] BILINEAR SYSTEMS - APPEALING CLASS OF NEARLY LINEAR-SYSTEMS IN THEORY AND APPLICATIONS
BRUNI, C
DIPILLO, G
KOCH, G
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (04) : 334 - 348
[4] NONLINEAR CONTROL OF CSTRS
CEBUHAR, WA
COSTANZA, V
[J]. CHEMICAL ENGINEERING SCIENCE, 1984, 39 (12) : 1715 - 1722
[5] APPROXIMATION PROCEDURES FOR THE OPTIMAL-CONTROL OF BILINEAR AND NONLINEAR-SYSTEMS
CEBUHAR, WA
COSTANZA, V
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1984, 43 (04) : 615 - 627
[6] COLLATZ L, 1969, MATH HILFSMITTEL ING, V2
[7] Collatz L., 1981, DIFFERENTIALGLEICHUN
[8] HOFER EP, 1971, 4TH P AS C CIRC SYST
[9] HOFER EP, 1986, 5TH P INT C MATH MOD
[10] HOFER EP, 1985, 2ND P JAP GERM SEM N

← 1 2 →