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Design of adaptive sliding mode controllers for perturbed nonlinear systems with partial unmeasurable states and state constraints

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Abstract

A sliding mode control (SMC) strategy is proposed in this paper for a class of perturbed nonlinear systems with unmeasurable states and state constraints to deal with the state tracking problems. First of all, a partial states observer is designed for solving the problems due to unmeasurable states. The estimation errors will approach zero in a finite time. Secondly, based on a designed barrier Lyapunov function, one designs the sliding surface function and an adaptive sliding mode tracking controller to ensure that the states have the ability to track the desired signals. Moreover, the tracking error is capable of converging to zero in a finite time without violating the given state’s constraints. Perturbation estimator and adaptive mechanisms are also utilized so that there is no need to know the upper bounds of perturbations and perturbation estimation errors in advance. Finally, a numerical example and a practical application are provided to demonstrate the effectiveness and applicability of the proposed control strategy.

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Acknowledgements

The authors would like to thank the Editor, Associate Editor, and the anonymous reviewers for their many helpful comments and suggestions that have helped to improve the quality of this paper. The authors are also grateful to the Ministry of Science and Technology of R.O.C. for financial support for this research (MOST 108-2221-E-110-072). Special thanks to Mr. Bo-Yu Chen, for his help in computer simulation.

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  1. Department of Electrical Engineering, National Sun Yat-Sen University, No. 70, Lien Hai Rd., Kaohsiung, Taiwan, ROC

    Chih-Chiang Cheng, Ting-Yu Lin & Yu-Kuo Li

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  1. Chih-Chiang Cheng
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  2. Ting-Yu Lin
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  3. Yu-Kuo Li
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Correspondence to Chih-Chiang Cheng.

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Cheng, CC., Lin, TY. & Li, YK. Design of adaptive sliding mode controllers for perturbed nonlinear systems with partial unmeasurable states and state constraints. Nonlinear Dyn 110, 1487–1499 (2022). https://doi.org/10.1007/s11071-022-07686-y

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  • DOI: https://doi.org/10.1007/s11071-022-07686-y

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