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UDE-based decoupled full-order sliding mode control for a class of uncertain nonlinear MIMO systems

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Abstract

In this paper, a generalized control scheme for the class of nonlinear multiple-input multiple-output (MIMO) uncertain system with cross-coupling and nonlinearity in their input channels under the influence of external disturbances is presented. This is accomplished using full-order model following sliding mode control based on uncertainty and disturbance estimator (UDE) technique. The fourth-order uncertain nonlinear MIMO system is separated into multiple single-input single-output double integrator subsystems by considering the effect of input coupling and nonlinearity as a disturbance. The UDE is designed to estimate the plant uncertainties as well as external disturbances without the knowledge of the bounds on the uncertainties. The proposed method decouples the system and overcomes the problem of high initial control which ultimately eliminates the reaching phase and the chattering phenomenon which is generally occurred in sliding mode control. The effectiveness of the proposed control scheme is demonstrated through numerical simulation of two-link manipulator.

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Acknowledgements

The authors would like to thank Prof. S. B. Phadke for helpful suggestions at COEP, Pune where the seed of this paper germinated.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Defence Institute of Advanced Technology, Pune, India

    Dinesh D. Dhadekar

  2. Department of Instrumentation, Shri Guru Gobind Singhji Institute of Engineering and Technology, Nanded, India

    B. M. Patre

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  1. Dinesh D. Dhadekar
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Correspondence to B. M. Patre.

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Dhadekar, D.D., Patre, B.M. UDE-based decoupled full-order sliding mode control for a class of uncertain nonlinear MIMO systems. Nonlinear Dyn 88, 263–276 (2017). https://doi.org/10.1007/s11071-016-3242-y

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  • DOI: https://doi.org/10.1007/s11071-016-3242-y

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