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
收藏
页码：423 / 433
页数：11
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