Adaptive sliding mode output tracking control based-FODOB for a class of uncertain fractional-order nonlinear time-delayed systems |
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Authors: | Wang Zhen Wang XinHe Xia JianWei Shen Hao Meng Bo |
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Affiliation: | 1.College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China ;2.School of Mathematics Science, Liaocheng University, Liaocheng, 252059, China ;3.School of Electrical Engineering and Information, Anhui University of Technology, Maanshan, 243002, China ; |
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Abstract: | An adaptive sliding mode control (ASMC) method, based on fractional-order disturbance-observer (FODOB), is presented for a class of fractional-order nonlinear time-delay systems (FONTDS) with uncertainties to solve the target output tracking problem. The external disturbances are estimated by FODOB, and the unknown internal perturbations of the system are adaptively estimated by sliding mode control (SMC). Furthermore, Gronwall’s inequality approach is used to ensure that the output tracking error is uniformly bounded for FONTDS. Firstly, a fractional-order sliding mode control (FOSMC) based FODOB is proposed for a fractional-order linear time-delay system (FOLTDS). Secondly, combined with adaptive estimation, the ASMC of FONTDS is studied. Finally, a numerical example of FONTDS is used to verify the effectiveness of the proposed methods. |
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