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In this paper, a new method of soft variable structure control for Fractional-Order System (FOS) is proposed to achieve faster response while the control signal is continuous and satisfies actuators' constraints. Our proposed method, by describing a desired commensurate FOS, with the help of a pole placement algorithm and applying an optimization routine, in the form of a procedure, leads the system to the desired character. The routine is done by solving an optimization problem subject to a control signal constraint qua we obtain the fastest response possible in the sense of stability region. The sufficient condition of stability of the control system is developed based on the stability theory of Fractional Order (FO) linear differential equations, and attributes of the Mittag-Leffler function. Finally, an example and corresponding numerical simulations are presented to show the efficiency of the proposed method. In the proposed method, a new control strategy for the FOS is presented, a complex problem is solved in a simple way, and it can exploit the benefits of using FOS in the modeling and control of complex physical phenomena. • A new soft variable structure control for fractional-order systems is generalized called FFFPP. • By a generalized pole placement and an optimization routine, the FFFPP vary controllers' parameters to a faster response. • It achieves a faster response while the control signal is soft, continuous, and satisfying actuators constraints. • The stable controller parameters change during the regulation period; we can use most capabilities of the control system. • A complex problem is solved in a simple way, and it can exploit the benefits of using fractional-order physical systems. [ABSTRACT FROM AUTHOR]

In this paper, a new method of soft variable structure control for Fractional-Order System (FOS) is proposed to achieve faster response while the control signal is continuous and satisfies actuators' constraints. Our proposed method, by describing a desired commensurate FOS, with the help of a pole placement algorithm and applying an optimization routine, in the form of a procedure, leads the system to the desired character. The routine is done by solving an optimization problem subject to a control signal constraint qua we obtain the fastest response possible in the sense of stability region. The sufficient condition of stability of the control system is developed based on the stability theory of Fractional Order (FO) linear differential equations, and attributes of the Mittag-Leffler function. Finally, an example and corresponding numerical simulations are presented to show the efficiency of the proposed method. In the proposed method, a new control strategy for the FOS is presented, a complex problem is solved in a simple way, and it can exploit the benefits of using FOS in the modeling and control of complex physical phenomena. • A new soft variable structure control for fractional-order systems is generalized called FFFPP. • By a generalized pole placement and an optimization routine, the FFFPP vary controllers' parameters to a faster response. • It achieves a faster response while the control signal is soft, continuous, and satisfying actuators constraints. • The stable controller parameters change during the regulation period; we can use most capabilities of the control system. • A complex problem is solved in a simple way, and it can exploit the benefits of using fractional-order physical systems. [ABSTRACT FROM AUTHOR]