SCALING OF THE DISCRETE-TIME ALGEBRAIC RICCATI EQUATION TO ENHANCE STABILITY OF THE SCHUR SOLUTION METHOD

被引：24
作者：
GUDMUNDSSON, T
KENNEY, C
LAUB, AJ
机构：
[1] Department of Electrical and Computer Engineering, University of California, Santa Barbara
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1992年 / 37卷 / 04期
关键词：
D O I：
10.1109/9.126589
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A simple scaling procedure for discrete-time Riccati equations is introduced. This procedure eliminates instabilities which can be associated with the linear equation solution step of the generalized Schur method without changing the condition of the underlying problem. A computable bound for the relative error of the solution of the Riccati equation is also derived.
引用
收藏
页码：513 / 518
页数：6
相关论文
共 14 条
[1]  
Golub G.H., 1983, MATRIX COMPUTATIONS
[2]  
Graham A., 1981, KRONECKER PRODUCTS M
[3]   ITERATIVE TECHNIQUE FOR COMPUTATION OF STEADY STATE GAINS FOR DISCRETE OPTIMAL REGULATOR [J].
HEWER, GA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (04) :382-+
[4]  
HEWER GA, 1971, NWC TP5124 NAV WEAP
[5]   A STABILITY-ENHANCING SCALING PROCEDURE FOR SCHUR-RICCATI SOLVERS [J].
KENNEY, C ;
LAUB, AJ ;
WETTE, M .
SYSTEMS & CONTROL LETTERS, 1989, 12 (03) :241-250
[6]   CONDITION ESTIMATES FOR MATRIX FUNCTIONS [J].
KENNEY, C ;
LAUB, AJ .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1989, 10 (02) :191-209
[7]   THE SENSITIVITY OF THE ALGEBRAIC AND DIFFERENTIAL RICCATI-EQUATIONS [J].
KENNEY, C ;
HEWER, G .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1990, 28 (01) :50-69
[8]   SCHUR METHOD FOR SOLVING ALGEBRAIC RICCATI-EQUATIONS [J].
LAUB, AJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) :913-921
[9]   A BRIEF SUMMARY OF THE BOUNDS ON THE SOLUTION OF THE ALGEBRAIC MATRIX EQUATIONS IN CONTROL-THEORY [J].
MORI, T ;
DERESE, IA .
INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (02) :247-256
[10]   A SCHUR DECOMPOSITION FOR HAMILTONIAN MATRICES [J].
PAIGE, C ;
VANLOAN, C .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 41 (DEC) :11-32
12