Adaptive output feedback quantised tracking control for stochastic nonstrict-feedback nonlinear systems with input saturation

Yekai Yang, Zhaoxu Yu and Shugang Li

International Journal of Systems Science, 2018, vol. 49, issue 15, 3130-3145

Abstract: This paper is concerned with the problem of adaptive output feedback quantised tracking control for a class of stochastic nonstrict-feedback nonlinear systems with asymmetric input saturation. Especially, both input and output signals are quantised by two sector-bounded quantisers. In order to solve the technical difficulties originating from asymmetric saturation nonlinearities and sector-bounded quantisation errors, some special technique, approximation-based methods and Gaussian error function-based continuous differentiable model are exploited. Meanwhile, an observer including the quantised input and output signals is designed to estimate the states. Then, a novel output feedback adaptive quantised control scheme is proposed to ensure that all signals in the closed-loop system are 4-moment (2-moment) semi-globally uniformly ultimately bounded while the output signal follows a desired reference signal. Finally, the effectiveness and applicability of the design methodology is illustrated with two simulation examples.

Date: 2018
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DOI: 10.1080/00207721.2018.1534025

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