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IEEE/CAA Journal of Automatica Sinica

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J. Wu, M. Lu, F. Deng, and J. Chen, “An emulation approach to semi-global robust output regulation for a class of nonlinear uncertain systems,” IEEE/CAA J. Autom. Sinica, 2024. doi: 10.1109/JAS.2024.125085
Citation: J. Wu, M. Lu, F. Deng, and J. Chen, “An emulation approach to semi-global robust output regulation for a class of nonlinear uncertain systems,” IEEE/CAA J. Autom. Sinica, 2024. doi: 10.1109/JAS.2024.125085

An Emulation Approach to Semi-Global Robust Output Regulation for a Class of Nonlinear Uncertain Systems

doi: 10.1109/JAS.2024.125085
Funds:  This work was supported in part by the National Key Research and Development Program of China (2021ZD0112600), in part by the National Natural Science Foundation of China (62373058), in part by the Beijing Natural Science Foundation (L233003), in part by the National Science Fund for Distinguished Young Scholars of China (62025301), and in part by the Basic Science Center Programs of National Nature Science Foundation of China (62088101)
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  • In this paper, we investigate the semi-global robust output regulation problem of a class of nonlinear networked control systems. By the emulation approach, we propose a class of sampled-data output feedback control laws to solve this problem. In particular, we first develop a general sampled-data dynamic output feedback control law and characterize the closed-loop system by a hybrid system. Then, we design the internal model based on the sampled error output of the system. Based on the internal model principle, we convert the semi-global robust output regulation problem into a semi-global robust stabilization problem of an augmented hybrid system composed of the internal model and the original system. By proposing the sampled error output feedback control law and by means of Lyapunov analysis, we obtain the maximum allowable transmission interval for sampling and show that semi-global robust stabilization of the augmented hybrid system can be achieved by the proposed sampled-data control law and thus leading to the solution of the semi-global robust output regulation problem. Finally, we apply the proposed control approach to two practical applications to verify the effectiveness of the proposed control approach.

     

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