Title :
Solution of optimal control problems with time-delay
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 Taylor series are presented. The operational matrices of integration, delay and product are 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 :
algebra; delays; optimal control; time-varying systems; algebraic equations; block-pulse functions; linear time varying delay system; optimal control problems; quadratic performance index; Control systems; Delay systems; Integral equations; Mathematics; Optimal control; Performance analysis; Polynomials; Statistics; Taylor series; Time varying systems;
Conference_Titel :
Innovations in Information Technology, 2008. IIT 2008. International Conference on
Conference_Location :
Al Ain
Print_ISBN :
978-1-4244-3396-4
Electronic_ISBN :
978-1-4244-3397-1
DOI :
10.1109/INNOVATIONS.2008.4781648