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Cascade Integral Predictors and Feedback Control for Nonlinear Systems with Unknown Time-varying Input-delays

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  • Control Theory and Applications
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Abstract

In this paper, we consider the problem of predictor design for nonlinear systems in the presence of unknown time-varying input-delays. A cascade integral high-gain predictor is proposed to estimate the future state. With a distinctive structure, the predictor can handle unknown delays and eliminate the “peaking phenomenon” during the transient period. Then, a predictor-based output feedback control is designed to guarantee the boundedness of system states. Lyapunov-Krasovskii functional and perturbation theories are used to prove the convergence of the estimation error and the closed-loop system. Finally, simulation results illustrate the superior performance of the cascade integral predictor compared to the standard high-gain predictor.

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Authors and Affiliations

  1. School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, China

    Kanghui He & Chaoyang Dong

  2. School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China

    Qing Wang

Authors
  1. Kanghui He
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  2. Chaoyang Dong
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  3. Qing Wang
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Correspondence to Chaoyang Dong.

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Recommended by Associate Editor Yonghao Gui under the direction of Editor PooGyeon Park.

Kanghui He was born in 1996. He received his B.S. degree in the School of Aeronautic Science and Engineering, Beihang University in 2018. Currently, he is an M.S. candidate in the School of Aeronautic Science and Engineering, Beihang University. His research interests include nonlinear systems control and aircraft control.

Chaoyang Dong received his Ph.D. degree in Guidance, Navigation and Control from Beihang University in 1996. He is currently a Professor in School of Aeronautic Science and Engineering, Beihang University. His research interests include dynamics and control of flight vehicles, modeling and simulation of aerospace vehicles.

Qing Wang received her Ph.D. degree in Flight Control, Guidance and Simulation from Northwestern Polytechnical University in 1996. She is currently a Professor in the School of Automation Science and Electrical Engineering, Beihang University. Her research interests include missile guidance and control, switch control.

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He, K., Dong, C. & Wang, Q. Cascade Integral Predictors and Feedback Control for Nonlinear Systems with Unknown Time-varying Input-delays. Int. J. Control Autom. Syst. 18, 1128–1138 (2020). https://doi.org/10.1007/s12555-019-0405-x

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  • DOI: https://doi.org/10.1007/s12555-019-0405-x

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