Event‐triggered control of nonlinear positive semi‐Markovian jump systems with randomly occurring actuator faults

Abstract

This article is concerned with the event‐triggered nonfragile reliable control of nonlinear positive semi‐Markovian jump systems with randomly occurring faults. The randomly occurring actuator fault, describing the phenomenon of the actuator fault appearing in a random way, is assumed to obey a semi‐Markovian process different from the jump process of the systems. The nonlinear function is located in a sector. Using a stochastic copositive Lyapunov function integrated with linear programming, an event‐triggered control strategy is employed to deal with the stochastic stabilization of the underlying systems, where the transition rates satisfy a polytopic uncertain condition. Nonfragile reliable controllers with additive and multiplicative perturbations are proposed for the considered systems, respectively. Compared with existing results, the obtained approach establishes a more general fault description and proposes a more practicable control design. Finally, the novelties of the proposed approach are verified via two examples.

Discrete‐time dynamic event‐triggered H∞ control of uncertain neural networks subject to time delays and disturbances

“…Event-triggered control is an approach which can improve the efficiency in resource utilization of the network components. [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] Event-triggered H ∞ control design problem for dynamical systems was discussed in References 32-36. In particular, the H ∞ containment control of multiagent systems under event-triggered communication scheduling was considered in Reference 32.…”

“…However, in many practical applications such as helicopter systems 15 and robotic systems, 16 it is essential to take into account the limitations of their communication resources. Event‐triggered control is an approach which can improve the efficiency in resource utilization of the network components 17‐31 …”