Event‐Triggered Finite‐Region Asynchronous Nonfragile Control of 2‐D Markov Jump Roesser Systems Under Unreliable Markov Networks

ABSTRACT This paper studies the finite‐region asynchronous nonfragile control problem for discrete‐time 2‐D Markov jump systems under event‐triggered mechanisms. It is considered that the controller mode may be asynchronous with the system mode, and gain fluctuations may occur during its operation. In addition, the signal may fade and suffer from denial‐of‐service attacks during transmission to the controller. In order to solve the above problems, the hidden Markov model and nonfragile control mechanism are introduced. Building an appropriate Lyapunov function provides a sufficient condition to guarantee that the system is finite‐region bounded and satisfies an performance. The nonfragile asynchronous controller design approach is proposed for 2‐D Markov jump Roesser systems. The proposed controller design method for 2‐D Markov jump systems, on the one hand, reduces the communication burden and ensures that data transmission is less affected by network attacks and channel fading, and on the other hand, reduces the impact of uncertainties in the controller implementation process. Finally, the Darboux equation is used as an example to confirm the efficacy of this approach.