Estimated States-Based Event-Triggered Control for Interconnected Nonlinear Systems With Hybrid Stochastic Faults

Abstract

This article concentrates on the event-triggered control problem for interconnected nonlinear systems under hybrid stochastic faults. Unlike existing results, our work considers both, sensor stochastic faults and process stochastic faults, which are referred to as hybrid stochastic faults. First, under hybrid stochastic faults, an observer is constructed to estimate all states, which converts the process stochastic faults into a processable form. Second, an event-triggered mechanism is proposed for the estimated states to reduce their update frequency. To deal with the problem that the triggered estimated states are nondifferentiable, a continuous controller with continuous estimated states is developed, and the event-triggered controller with triggered estimated states is established accordingly. By the use of Lyapunov stability theory, it can be rigorously shown that all signals of the closed-loop systems are bounded in probability. The proposed approach is illustrated with the simulation of two interconnected pendulums.