Synthesis of Sliding Mode Control for a Class of Uncertain Singular Fractional-Order Systems-Based Restricted Equivalent

This paper has researched the sliding mode control (SMC) problem for a class of restricted singular fractional-order system (SFOS) with matched uncertainties. First, the condition of system decomposition based on controller separation is given. Then, fractional order (FO) sliding mode (SM) function and controller for the restricted equivalent system are designed, and the stabilization of the system is studied by FO Lyapunov method. Finally, the feasibility of the proposed method is verified by a numerical example.