Optimal control of fractional-order singular system via Block pulse functions

A method for finding the optimal control of linear fractional-order singular systems with a quadratic cost functional using Block pulse functions is discussed. By usingthe operational properties of orthogonal functions, computationally attractive algorithms are developed for calculating optimal control law and state variable ofdynamical system. A numerical example is included to demonstrate the validity and the applicability of the technique.

Keywords:

Optimal control , Singular systems , Fractional systems , Block pulse functions