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Predefined-time disturbance observer-based fuzzy tracking control for uncertain space robot with global prescribed
Yanzhe Yang1, Zhiping Chen1, Haiping Ai1
1School of Energy and Mechanical Engineering, Jiangxi University of Science and Technology, Nanchang, Jiangxi, 330013, China.
Abstract:
In this paper, an adaptive fuzzy prescribed performance control strategy based on predefined-time theory is proposed for a space robot under external disturbances and dynamic uncertainties. Firstly, an adaptive fuzzy backstepping framework that integrates predefined-time control theory is presented. To mitigate the impact of external disturbances on tracking performance, a predefined-time nonlinear disturbance observer (PTNDO) is introduced to compensate for them, thereby enhancing the convergence accuracy of trajectory tracking control. Next, global predefined-time prescribed performance control (PTPPC) is introduced to improve the transient and steady-state performance of the control system. Additionally, a single-parameter fuzzy logic system (FLS) is introduced to compensate for dynamic uncertainties in the system. An adaptive fuzzy predefined-time controller is then developed based on PTNDO, PTPPC, and single-parameter FLS. Compared to multi-parameter FLS, single-parameter FLS reduces the consumption of computational resources while retaining the desired level of approximation accuracy. By utilizing PTNDO and PTPPC, the transient and steady-state performance of the space robot control system are enhanced and the limitations of traditional prescribed performance control caused by initial states are avoided. The predefined-time stability of the proposed controller is rigorously proven by using Lyapunov theory, and numerical simulations demonstrate its superiority and effectiveness compared with existing methods.
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