Design of Fractional-order Sliding Mode Controller (FSMC) for a class of Fractional-order Non-linear Commensurate Systems using a Particle Swarm Optimization (PSO) Algorithm

The aim of this paper is to develop a fractional-order sliding mode control (FSMC) and to compare its application with the conventional sliding mode control (SMC) for a class of fractional-order non-linear commensurable systems using particle swarm optimization (PSO) algorithm which calculates optimum saturation gain k and the parameter lambda of the sliding surface. According to the obtained results from the two used systems for these applications, it's clearly shown that the stability and the robustness issues using FSMC are more enhanced than those obtained using SMC. This robustness is also depending on the nature of the chosen sliding surface.