Observer-based Self-Triggered FTC for Markovian Jump Networked Systems

A resource-aware fault tolerant control (RA-FTC) issue is considered in this work for Markovian jump systems (MJS) via a self-triggered scheme. First, based on uncertain polytopic theory and system augmentation technique, a sliding mode observer is designed to reconstruct faults and states via the self-triggered nonuniform sampled outputs. Second, a self-triggered fault tolerant controller (ST-FTC) is constructed based upon the reconstructed fault and state signals. Then, the desired performance of the overall closed-loop system can be achieved. Third, with the aid of Lyapunov theorem and linear matrix inequality technique, the stochastically stabilization can be guaranteed under the action of the proposed ST-FTC. It is worthy noting that the self-triggered mechanism is firstly introduced for FTC of MJSs to reduce the computation resources. Finally, two examples are provided to show the effectiveness of the investigated RA-FTC scheme.