Event‐Triggered Stability Analysis of Semi‐Markovian Jump Networked Control System with Actuator Faults and Time‐Varying Delay via Bessel–Legendre Inequalities
Hongqian Lu, Chaoqun Guo, Hu Yue, Wuneng Zhou · Complexity · 2019
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.