Feedback control of fractional nonlinear differential algebraic systems with Hamiltonian function method

In this paper, we first present a fractional Hamiltonian function. Then, based on the dissipative Hamiltonian realization, using the fractional Hamiltonian function method, as a static measurable feedback, a criterion for the fractional nonlinear differential algebraic systems (FNDAS) is proposed to stabilize the multi-machine power system. Finally, FNDAS in presence of disturbance, a fractional H∞ control strategy is constructed. The proposed stabilization and robust controller can effectively take advantage of the structural characteristics of FNDAS and is simple in form.