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The adaptive quantised tracking problem is addressed for a class of switched stochastic strict‐feedback non‐linear systems with asymmetrical input saturation in this study. With the aid of a Gaussian error function‐based continuous differentiable switching model and some special techniques, the technical difficulties from dealing with the switching asymmetric saturation non‐linearities and the sector‐bounded quantisation errors are overcome. Then, by combining the common Lyapunov function method, backstepping technique and neural network approximation‐based approach, a simple common adaptive tracking control scheme involving one adaptive parameter only is presented for such systems under arbitrary switching. The given quantised control scheme guarantees that all signals of the closed‐loop system are semi‐globally bounded in probability while the tracking error can converge to a small neighbourhood of the origin. Finally, simulation studies are provided to illustrate the effectiveness and applicability of the proposed control design. [ABSTRACT FROM AUTHOR]

The problem of adaptive tracking control is studied for a class of switched non‐strict‐feedback non‐linear systems with unknown control direction and asymmetric saturation actuators under arbitrary switchings. The main technical difficulty comes from developing a common adaptive control scheme in the presence of unknown control direction and unknown asymmetric saturation non‐linearities. A linear state transformation is exploited to deal with the unknown control coefficients and a Gaussian error function‐based smooth model is used to approximate the asymmetric saturation non‐linearity. Based on an input‐driven observer, a common adaptive output‐feedback control strategy containing only one adaptive parameter is developed for such systems via a novel combination of common Lyapunov function method, backstepping technique, variable separation approach and neural network approximation. Under the proposed control scheme, the tracking error converges to an adjustable neighbourhood of the origin. Finally, two illustrative examples are included to verify the effectiveness of the proposed control design. [ABSTRACT FROM AUTHOR]