Wavelet approach to optimising dynamic systems

被引:86
作者
Chen, CF
Hsiao, CH
机构
[1] Boston Univ, Dept Appl Sci, Boston, MA 02215 USA
[2] Natl Chung Yuan Univ, Dept Elect Engn, Chungli 320, Taiwan
来源
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 1999年 / 146卷 / 02期
关键词
D O I
10.1049/ip-cta:19990516
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 examination is given to compare the fast capabilities of operational matrices of integration formed by various orthogonal functions. It is found that the Haar wavelet operational matrix is the fastest. Based on the newly established matrix, a simple and complete procedure for optimising a dynamic system is formulated. Different constraints and various conditions of the time-invariant system optimisation problems are considered and solved with the new wavelet approach.
引用
收藏
页码:213 / 219
页数:7
相关论文
共 17 条
[1]  
ANDERSON BDO, 1990, OPTIMAL CONTROL
[2]  
[Anonymous], BASIC CIRCUIT THEORY
[3]  
Athans Michael., 1966, OPTIMAL CONTROL
[4]   LEGENDRE POLYNOMIALS APPROXIMATION TO DYNAMIC LINEAR STATE-EQUATIONS WITH INITIAL OR BOUNDARY-VALUE CONDITIONS [J].
CHANG, RY ;
WANG, ML .
INTERNATIONAL JOURNAL OF CONTROL, 1984, 40 (01) :215-232
[5]   Haar wavelet method for solving lumped and distributed-parameter systems [J].
Chen, CF ;
Hsiao, CH .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1997, 144 (01) :87-94
[6]   WALSH OPERATIONAL MATRICES FOR FRACTIONAL CALCULUS AND THEIR APPLICATION TO DISTRIBUTED SYSTEMS [J].
CHEN, CF ;
TSAY, YT ;
WU, TT .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1977, 303 (03) :267-284
[7]   STATE-SPACE APPROACH TO WALSH SERIES SOLUTION OF LINEAR-SYSTEMS [J].
CHEN, CF ;
HSIAO, CH .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1975, 6 (09) :833-858
[8]   THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].
DAUBECHIES, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) :961-1005
[9]   On the theory of orthogonal function systems (First announcement) [J].
Haar, A .
MATHEMATISCHE ANNALEN, 1910, 69 :331-371
[10]  
HSIAO CH, 1992, T AERO ASTRO ROC, V24, P1