Sampled-data control of a class of switched nonlinear systems under asynchronous switching.

Highlights • This paper addresses an important control problem in nonlinear systems, which is relevant to Journal of The Franklin Institute as described in the aims and scope. • In this paper, a global sampled-data output feedback stabilization problem is investigated for a class of switched nonlinear systems with asynchronous switching. • In stability analysis, a merging virtual switching signal is introduced to described the asynchronous switching, and the constructed controller with dwell time constraint can globally stabilize the considered systems. Abstract This paper focuses on an output feedback stabilization problem for a class of switched nonlinear systems in non-strict feedback form under asynchronous switching via sampled-data control. Since the output of the considered systems is measurable only at the sampling instants, an observer is designed with a tunable scaling gain to estimate the state, and then a sampled-data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the activation of the subsystem. By choosing an appropriate Lyapunov function, it is proved that the constructed controller with dwell time constraint can globally stabilize the considered systems under asynchronous switching. Finally, the effectiveness of the proposed method is illustrated by two examples. [ABSTRACT FROM AUTHOR]