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Prescribed Performance Control for Robotic Systems with Unknown Dynamics

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Book cover Proceedings of 2018 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 528))

Abstract

In this paper, a prescribed performance controller for robotic systems with guaranteed transient and steady-state performance is proposed. A performance function that characterizes the convergence rate, maximum overshoot and steady-state error is employed to construct a new coordinate system. Then, the tracking error of the original system can be retained within a prescribed bound by stabilizing the transformed system. The unknown dynamics are accurately estimated by an estimator. The merit of the estimator is that the structure is simple and only one parameter needs to be tuned. The stability of the control system including the prescribed performance control and the unknown dynamics estimator is proved via Lyapunov theory. Simulation results are carried out to validate the effectiveness of the proposed control scheme.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (grant 61573174).

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Correspondence to Jing Na .

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Zhang, C., Na, J., Wang, B., Gao, G. (2019). Prescribed Performance Control for Robotic Systems with Unknown Dynamics. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2018 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 528. Springer, Singapore. https://doi.org/10.1007/978-981-13-2288-4_45

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