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

Kanghui He, Chaoyang Dong*, and Qing Wang
International Journal of Control, Automation, and Systems, vol. 18, no. 5, pp.1128-1138, 2020

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.

Keyword : High-gain predictors, nonlinear systems, output feedback, unknown time-varying delay.

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