Adaptive sliding mode observer design for semi-Markovian jump systems through dynamic event-triggered mechanism

This paper deals with the problem of network-based sliding mode observer design and stabilization for nonlinear semi-Markovian jump systems. To design the observer, an event-triggering condition relies on network framework is proposed based on the system output measurement that transmitted through communication channel. Relying on the estimated state, an integral sliding surface is proposed and corresponding sliding mode controller is constructed to guarantee finite-time reachability of predefined sliding surface. In the analysis of sliding mode dynamics and error dynamics, it is considered that the transition rate information suffer from more generally uncertain cases, especially for the type that the mode jumping information from mode to others are totally unknown. Even so, sufficient conditions are developed to ensure stochastic stability of the overall closed-loop system. Finally, a numerical example is provided to verify the effectiveness of the established method. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.