Observer-based H∞ control for switched cyber-physical systems over amplify-and-forward relay networks subject to double fading channels

• Published in: Nonlinear dynamics Vol. 113; no. 11; pp. 13243 - 13259
• Main Authors: Li, Qi, Tan, Hailong, Liu, Hongjian
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.06.2025; Springer Nature B.V
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Channels; Classical Mechanics; Control; Controllers; Cyber-physical systems; Dwell time; Dynamical Systems; Fading; H-infinity control; Physics; Physics and Astronomy; Random variables; Relay networks; Sensors; Stability; Statistical Physics and Dynamical Systems; Vibration; Double fading channels; Amplify-and-forward relays; Observer-based controller; Switched cyber-physical systems
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-024-10688-7

In this paper, an observer-based H ∞ control problem is studied for a class of switched cyber-physical systems over amplify-and-forward relay networks with double fading channels. An AF relay is deployed between sensor and controller with hope to enhance the communication range. In this relay-based network, the relay first receives the data from the sensor and then transfers it to the controller. Further, double fading channels are considered in both the sensor to relay channel and the relay to controller channel, whose coefficients are described by two series of random variables. The application of Lyapunov stability combing with average dwell time technique first leads to the derivation of a sufficient condition for guaranteeing the stability and H ∞ performance of the controlled system. Subsequently, the desired gains of the observer-based controller are parameterized by solving a set of matrix inequalities. Finally, two examples are offered to showcase the applicability of the presented control strategy.