期刊
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
卷 69, 期 7, 页码 3179-3183出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2022.3162611
关键词
Higher-order sliding mode; super-twisting algorithm; finite-time; arbitrary order sliding mode; homogeneous Lyapunov function
资金
- National Natural Science Foundation of China [61873226]
- Natural Science Foundation of Hebei Province [F2019203090]
- Key Project of Higher Education Science and Technology Plan of Hebei Provincial Education Department [ZD2021102]
- Fundamental Innovation Team Project of Tangshan City [21130205D]
In this paper, a general continuous higher-order sliding mode control algorithm is proposed for a class of n-order systems with Lipschitz disturbance. The algorithm only requires limited information of the output and its derivatives and can compensate the disturbance exactly, achieving finite-time convergence. Simulation results validate the effectiveness of the proposed method.
In this brief, a general continuous higher-order sliding mode (HOSM) control algorithm is proposed for a class of n-order systems with Lipschitz disturbance, which can be regarded as a generalization of the continuous super-twisting algorithm for arbitrary relative degree with respect to the output. The proposed control algorithm only requires the information of the output and its derivatives up to the order n - 1, and can compensate the Lipschitz disturbance exactly by using a discontinuous integral term, generating a continuous homogeneous control signal and achieving finite-time convergence to a sliding mode of order n + 1. The convergence of the closed-loop system is proved rigorously by employing an explicit and directly constructed homogeneous Lyapunov function. The simulation results validate the effectiveness of the proposed method by comparing with the existing results.
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