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Predictor-based stabilisation for discrete nonlinear systems with state-dependent input delays

Xiushan Cai, Linling Liao, Yang Liu and Cong Lin

International Journal of Systems Science, 2017, vol. 48, issue 4, 769-777

Abstract: We consider predictor-based stabilisation for discrete nonlinear systems with state-dependent input delays. The key design is how to determine the prediction horizon and the predictor state. Sufficient conditions for stabilisation of the closed-loop system are obtained. An explicit feedback law is presented for compensating state-dependent input delay. Since input delay is dependent on state, a region of attraction is estimated for the closed-loop system. The proposed predictor-based design can be applied in controlling the yaw angular displacement of a four-rotor mini-helicopter.

Date: 2017
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DOI: 10.1080/00207721.2016.1212435

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