Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities

Abstract EN

This paper discusses the stability of semi-Markovian jump networked control system containing time-varying delay and actuator faults.

The system dynamic is optimized while the network resource is saved by introducing an improved static event-triggered mechanism.

For deriving a less conservative stability criterion, the Bessel–Legendre inequalities approach is employed to the stability analysis and plays a major role.

By constructing the enhanced Lyapunov–Krasovskii functional (LKF) relevant to the Legendre polynomials, a stability criterion with lower conservativeness indexed by N is derived, and the conservativeness will decrease as N increases.

In addition, a controller is designed.

To prove the validity of this paper, numerical examples are provided at the last.