Title :
Optimal control of linear delay systems via combined piecewise and continuous basis functions
Author :
Razzaghi, Mohsen
Author_Institution :
Dept. of Math. & Stat., Mississippi State Univ., Starkville, MS
Abstract :
A method for finding the optimal control of a linear time varying delay system with quadratic performance index is discussed. The properties of the hybrid functions which consists of block-pulse functions plus Chebyshev polynomials are presented. The operational matrices of integration, delay and product are then utilized to reduce the solution of optimal control to the solution of algebraic equations. An illustrative example is included to demonstrate the validity and applicability of the technique.
Keywords :
Chebyshev approximation; delay systems; linear systems; matrix algebra; optimal control; performance index; time-varying systems; Chebyshev polynomials; algebraic equations; block-pulse functions; combined piecewise-continuous basis functions; linear time varying delay system; operational matrices; optimal control; quadratic performance index; Chebyshev approximation; Control systems; Delay systems; Integral equations; Mathematics; Optimal control; Polynomials; Statistics; Transmission line matrix methods; Typesetting; Cheybyshev polynomials; Optimal control; Orthogonal functions; block-pulse functions; delay systems; hybrid functions;
Conference_Titel :
Automation Congress, 2008. WAC 2008. World
Conference_Location :
Hawaii, HI
Print_ISBN :
978-1-889335-38-4
Electronic_ISBN :
978-1-889335-37-7
