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Fractional‐order DOB‐sliding mode control for a class of noncommensurate fractional‐order systems with mismatched disturbances
Author(s) -
Wang Jing,
Shao Changfeng,
Chen Xiaolu,
Chen YangQuan
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5850
Subject(s) - control theory (sociology) , mathematics , order (exchange) , disturbance (geology) , mode (computer interface) , sliding mode control , class (philosophy) , fractional order system , observer (physics) , fractional calculus , control (management) , nonlinear system , computer science , artificial intelligence , physics , paleontology , finance , quantum mechanics , economics , biology , operating system
This article proposes a novel fractional‐order sliding mode control based on the disturbance observer for a class of noncommensurate fractional‐order systems with mismatched disturbances. Firstly, the noncommensurate fractional‐order system is decomposed into several subsystems with commensurate order. Then the fractional‐order disturbance observers are designed independently to estimate the mismatched disturbances for each subsystems. Based on the designed disturbance observers, a uniform fractional‐order sliding mode control is proposed. The proposed method can deal with the mismatched disturbances and has better control performance. The simulations on single‐link flexible manipulator system demonstrate the effectiveness of the proposed method.