Optimal State Control of Fractional Order Differential Systems: The Infinite State Approach

Optimal control of fractional order systems is a long established domain calculus. Nevertheless, it relies on equations expressed in terms pseudo-state variables which raise fundamental questions. So remedy these problems, the authors propose this paper new and original approach to optimal based frequency distributed representation differential called infinite state approach, associated with an formulation energy, intended really internal system state. In first step, calculus variations revisited express appropriate Euler Lagrange equations. Then, quadratic linear formulated. Thanks discretization technique, previous theoretical are converted into equivalent large dimension integer permits implementation feasible solution. A numerical example illustrates validity approach.