Orthogonal functions approach to optimal control of delay systems with reverse time terms

作     者：Mohan, B. M. Kar, Sanjeeb Kumar 

作者机构：Indian Inst Technol Dept Elect Engn Kharagpur 721302 W Bengal India SOA Univ ITER Dept Elect Engn Bhubaneswar 751030 Orissa India 

出 版 物：《JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS》 (佛兰克林学会杂志)

年 卷 期：2010年第347卷第9期

页      面：1723-1739页

核心收录：

学科分类：0808[工学-电气工程] 07[理学] 08[工学] 0701[理学-数学] 0811[工学-控制科学与工程] 

主　　题：LEGENDRE'S polynomials ORTHOGONAL functions DYNAMICS DIFFERENTIAL equations EQUATIONS LINEAR time invariant systems 

摘      要：Using block-pulse functions (BPFs)/shifted Legendre polynomials (SLPs) a unified approach for computing optimal control law of linear time-varying time-delay systems with reverse time terms and quadratic performance index is discussed in this paper. The governing delay-differential equations of dynamical systems are converted into linear algebraic equations by using operational matrices of orthogonal functions (BPFs and SLPs). The problem of finding optimal control law is thus reduced to the problem of solving algebraic equations. One example is included to demonstrate the applicability of the proposed approach. (C) 2010 The Franklin Institute. Published by Elsevier Ltd L All rights reserved.