State analysis and optimal control of linear time-varying systems via Haar wavelets

被引：0

作者：

Hsiao, CH ^{[1
]}

Wang, WJ ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Elect Engn, Chungli 320, Taiwan

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 1998年 / 19卷 / 06期

关键词：

optimal control; time-varying systems; Haar wavelets;

D O I：

10.1002/(SICI)1099-1514(199811/12)19:6<423::AID-OCA638>3.0.CO;2-G

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

State analysis and optimization of time-varying systems via Haar wavelets are proposed in this paper. Based upon some useful properties of Haar functions, a special product matrix and a related coefficient matrix are applied to solve the time-varying systems first. Then the backward integration is introduced to solve the adjoint equation of optimization. The unknown Haar coefficient matrix will be in generalized Lyapunov equation form, which is solved via a single-term algorithm. The local property of Haar wavelets is fully applied to shorten the calculation process. A brief comparison between Haar wavelet and other orthogonal functions is also given. Copyright (C) 1998 John Wiley & Sons, Ltd.

引用

页码：423 / 433

页数：11

共 50 条

[31] A wavelet collocation method for optimal control of non-linear time-delay systems via Haar wavelets
Borzabadi, Akbar Hashemi
Asadi, Solayman
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2015, 32 (01) : 41 - 54
[32] Haar wavelet-based optimal control of time-varying state-delayed systems: A computational method
Karimi, H. R.
Maralani, P. Jabehdar
Moshiri, B.
Lohmann, B.
2005 ICSC Congress on Computational Intelligence Methods and Applications (CIMA 2005), 2005, : 223 - 228
[33] Haar wavelet-based optimal control of time-varying state-delayed systems: A computational method
Karimi, H. R.
Maralani, P. J.
Lohmann, B.
Moshiri, B.
2006 IEEE CONFERENCE ON COMPUTER-AIDED CONTROL SYSTEM DESIGN, VOLS 1 AND 2, 2006, : 314 - 319
[34] Analysis and optimal control of discrete time-varying systems via Hahn polynomials
Hwang, Chyi
Chen, Chyi-Tsong
Shih, Yen-Ping
Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers, 1988, 11 (05): : 519 - 532
[35] ANALYSIS AND OPTIMAL-CONTROL OF TIME-VARYING SYSTEMS VIA POLYNOMIAL SERIES
YANG, CY
CHEN, CK
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1988, 19 (02) : 289 - 310
[36] ANALYSIS AND OPTIMAL-CONTROL OF TIME-VARYING SYSTEMS VIA TSCHEBYSCHEV POLYNOMIALS
LIU, CC
SHIH, YP
INTERNATIONAL JOURNAL OF CONTROL, 1983, 38 (05) : 1003 - 1012
[37] OPTIMAL-CONTROL OF LINEAR TIME-VARYING SYSTEMS VIA PIECEWISE-LINEAR POLYNOMIAL FUNCTIONS
LIOU, CT
CHOU, YS
INTERNATIONAL JOURNAL OF CONTROL, 1987, 45 (04) : 1323 - 1333
[38] A new approach to optimal control of delay systems via Haar wavelets
Esmaeili, Mahboobeh
Keyanpour, Mohammad
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (04) : 1177 - 1194
[39] ANALYSIS AND OPTIMAL-CONTROL OF TIME-VARYING LINEAR-SYSTEMS VIA BLOCK-PULSE FUNCTIONS
HSU, NS
CHENG, B
INTERNATIONAL JOURNAL OF CONTROL, 1981, 33 (06) : 1107 - 1122
[40] ANALYSIS AND OPTIMAL-CONTROL OF DISCRETE LINEAR TIME-VARYING SYSTEMS VIA DISCRETE GENERAL ORTHOGONAL POLYNOMIALS
LEE, TT
TSAY, YF
INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (05) : 1427 - 1436

← 1 2 3 4 5 →