Robust Fault-Tolerant Control of Continuous Lurie Networked Control Systems Based on the Observer with the Event-Triggered Mechanism

Abstract

For a class of uncertain continuously networked Lurie control systems with both sensor-to-controller time-delay and controller-to-actuator time-delay, the problem of codesigning its observer and fault-tolerant controller based on an event-triggered mechanism under actuator failure is investigated. Firstly, considering that the state of the system cannot be measured directly, an observer is constructed on the controller node. Secondly, to reduce the waste of network bandwidth resources and improve the performance of the network control system, a network control system approach based on event-triggered mechanism is proposed. By introducing the event-triggered mechanism and the actuator fault indication matrix, the Lurie networked control system is modeled as a Lurie system with time-delay using the state augmentation technique to obtain a model of the closed-loop system. Finally, based on Lyapunov stability theory, sufficient condition for the stability of the closed-loop system is obtained, and the design method of the fault-tolerant controller and the observer is given. The obtained results are given in the form of linear matrix inequalities, which are easy to be solved by using the linear matrix inequality toolbox. Finally, the feasibility and effectiveness of the method are illustrated by a simulation example.

Robust fault‐tolerant cooperative control for a class of interconnected systems with actuator faults based on dynamic event‐triggered

“…Event-triggered mechanism (ETM), as an attractive alternative to time-driven schemes, has received extensive research attention in recent years due to its effective performance in saving scarce communication resources. [29][30][31] In Reference 32, the observer-based output feedback control problem is studied. A new event-trigger control scheme is proposed.…”

“…The time‐triggered mechanism of periodic sampling increases the burden of network resources and the consumption of system energy. Event‐triggered mechanism (ETM), as an attractive alternative to time‐driven schemes, has received extensive research attention in recent years due to its effective performance in saving scarce communication resources 29–31 . In Reference 32, the observer‐based output feedback control problem is studied.…”