The linear quadratic optimal control problem for linear descriptor systems with variable coefficients

被引：44
作者：
Kunkel, P
Mehrmann, V
机构：
[1] Carl von Ossietzky Univ Oldenburg, Fachbereich Math, D-26111 Oldenburg, Germany
[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1997年 / 10卷 / 03期
关键词：
descriptor systems; differential algebraic equations; optimal control; strangeness index; Riccati differential-algebraic equations; Euler-Lagrange equations; linear feedback;
D O I：
10.1007/BF01211506
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study linear quadratic optimal control problems for linear variable coefficient descriptor systems. Generalization from the case of standard control problems leads to several difficulties. We discuss a behavioral approach that solves some of these difficulties. Furthermore, an analysis of general rectangular systems is given and generalized Euler-Lagrange equations and Riccati differential algebraic equations are discussed.
引用
收藏
页码：247 / 264
页数：18
相关论文
共 36 条
[1]  
[Anonymous], ELECTRON T NUMER ANA
[2]  
Athans Michael., 1966, OPTIMAL CONTROL
[3]  
Basar T., 1999, Dynamic noncooperative game theory, V23
[4]   THE LINEAR-QUADRATIC OPTIMAL REGULATOR FOR DESCRIPTOR SYSTEMS [J].
BENDER, DJ ;
LAUB, AJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (08) :672-688
[5]  
Brenan K. E., 1989, NUMERICAL SOLUTION I
[6]   NUMERICAL COMPUTATION OF AN ANALYTIC SINGULAR VALUE DECOMPOSITION OF A MATRIX VALUED FUNCTION [J].
BUNSEGERSTNER, A ;
BYERS, R ;
MEHRMANN, V ;
NICHOLS, NK .
NUMERISCHE MATHEMATIK, 1991, 60 (01) :1-39
[7]   Regularization of linear descriptor systems with variable coefficients [J].
Byers, R ;
Kunkel, P ;
Mehrmann, V .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (01) :117-133
[8]   OBSERVABILITY OF LINEAR TIME-VARYING DESCRIPTOR SYSTEMS [J].
CAMPBELL, SL ;
TERRELL, WJ .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1991, 12 (03) :484-496
[9]   DUALITY, OBSERVABILITY, AND CONTROLLABILITY FOR LINEAR TIME-VARYING DESCRIPTOR SYSTEMS [J].
CAMPBELL, SL ;
NICHOLS, NK ;
TERRELL, WJ .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1991, 10 (04) :455-470
[10]   A GENERAL-FORM FOR SOLVABLE LINEAR TIME-VARYING SINGULAR SYSTEMS OF DIFFERENTIAL-EQUATIONS [J].
CAMPBELL, SL .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1987, 18 (04) :1101-1115
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