Optimal control of linear delay systems via combined piecewise and continuous basis functions

摘要

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.