This study focuses on the output feedback guaranteed cost control issue for networked control systems with random packet dropouts and time delays. The plant considered in this study is characterized by an uncertain linear discrete-time system, wherein random packet dropouts and time delays exist in forward controller-to-actuator and feedback sensor-to-controller communication links that are modeled as unified multiple Markov chains. The resulting closed-loop system is modeled as a Markovian jump linear system. The guaranteed cost control issue is solved via Lyapunov stability theory and the linear matrix inequality approach. The design of the mode-independent robust output feedback controller is derived under the Markov jump unified framework. The closed-loop system is not only stochastically stable but it also guarantees an adequate level of performance. A simulation example illustrates the effectiveness of the proposed method.

This paper focuses on the robust output feedback H₂/H∞ control issue for a class of discrete-time networked control systems with uncertain parameters and external disturbance. Sensor-to-controller and controller-to-actuator packet dropouts and time delays are considered simultaneously. According to the stochastic characteristic of the packet dropouts and time delays, a model based on a Markov jump system framework is proposed to randomly compensate for the adverse effect of the two-channel packet dropouts and time delays. To analyze the robust stability of the resulting closed-loop system, a Lyapunov function is proposed, based on which sufficient conditions for the existence of the H₂/H∞ controller are derived in terms of linear matrix inequalities, ensuring robust stochastic stability as well as the prescribed H₂ and H∞ performance. Finally, an angular positioning system is exploited to demonstrate the effectiveness and applicability of the proposed design strategy.