Robust Rejection of Matched/Unmatched Perturbations from Fractional-Order Nonlinear Systems

[摘要] This paper deals with the control of fractional-order nonlinear systems subjected to matched and unmatched perturbations. A novel control strategy is proposed based on nonlinear block control and sliding mode technique. Based on the block control technique, robust virtual control laws are developed step by step to suppress the mismatched perturbation vector of each block. Afterward, a sliding mode controller is designed to deal with the matched uncertainty vector and stabilize the fractional-order nonlinear system. The tracking errors convergence to zero are proved using fractional-order version of stability theorems. The proposed control strategy is simple and avoids high derivational computations. Eventually, simulation results show that the designed controller attains a satisfied control performance and is robust against matched and unmatched perturbations...

[学科分类] 自动化工程

[关键词] Fractional-order nonlinear system ;Nonlinear block control (NBC) ;Sliding mode control (SMC) ;Unmatched perturbations ;Mittag–Leffler stability