期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 52, 期 4, 页码 2688-2702出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2021.3050820
关键词
Backstepping; Nonlinear systems; Observers; Real-time systems; Robust control; Attenuation; Stochastic systems; Active disturbance rejection control (ADRC); backstepping control; extended state observer (ESO); lower triangular nonlinear systems; mismatched bounded stochastic disturbances; output tracking
资金
- National Natural Science Foundation of China [61903087, 62073144, 61733008, 61873260, 12071074, 11901091]
- Natural Science Foundation of Guangdong Province [2018A030310357, 2018A1660005]
In this article, the active disturbance rejection control (ADRC) is applied to address the output tracking of a lower triangular nonlinear system subject to mismatched bounded stochastic disturbances. The study first designs a set of second-order extended state observers to estimate disturbances and then develops a backstepping ADRC approach, ensuring the closed-loop output tracks a time-varying reference signal and the closed-loop states are bounded in probability. Numerical simulations validate the effectiveness of the proposed approach.
In this article, we apply the active disturbance rejection control (ADRC) to the output tracking of a class of lower triangular nonlinear systems subject to mismatched bounded stochastic disturbances of unknown statistic characteristics and nonvanishing at the origin. A major obstacle is that the paths of the stochastic disturbances are nowhere differentiable almost surely which causes that the stochastic disturbances cannot be refined into the control input channel by the usual way of state transformation. To overcome this obstacle, a set of second-order extended state observers is first designed to estimate, in real time, the disturbance in each channel, and then a backstepping ADRC based on feedforward compensation and a constructive backstepping procedure is developed, guaranteeing that the closed-loop output tracks a time-varying reference signal in practically mean square and the closed-loop states are practically bounded in probability first defined in this article. Finally, some numerical simulations are presented to validate the effectiveness of the proposed backstepping ADRC approach.
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