Adaptive fuzzy output‐feedback control for switched uncertain non‐linear systems

The problem of adaptive fuzzy output‐feedback control for a class of switched uncertain non‐linear systems without the measurements of the system states is discussed. By utilising fuzzy logic systems to approximate unknown non‐linear functions, an adaptive fuzzy control technique for the problem under study is provided by exploiting the average dwell time method and the backstepping technique. To reduce the conservativeness caused by adoption of a common observer for all subsystems, a switched observer for switched systems is designed. It is proved that the proposed controllers of subsystems can guarantee the semiglobally uniformly ultimately bounded for all the closed‐loop signals under a class of switching signals with average dwell time, while the output tracking error can converge to a small neighbourhood of the origin. The effectiveness of the proposed control scheme is illustrated by its application to a switched RLC circuit and a mass–spring–damper system.