Dynamic Output Feedback Quantization Control of a Networked Control System with Dual-Channel Data Packet Loss

In this paper, the design of a dynamic output feedback controller for a networked control system with dual-channel data packet loss and special discrete-time delay is studied, in which the data packet loss is described by the Markov process. In order to effectively alleviate the problem of network congestion, a quantizer was added to the sensor-to-controller channel. The transition probabilities of the Markov process are uncertain, but they exist in the convex sets of known convex polyhedron types. The mode-dependent Lyapunov function was constructed, and a sufficient condition was given to make the closed-loop system stochastically stable and satisfy the performance index. The parameters of the controller were solved by the linear matrix inequality method. Finally, an example of aircraft shows the validity of the proposed approach. A numerical example is compared with other literature, showing the superiority of the proposed approach.

Automated summary

This paper studies the design of a dynamic output feedback controller for a networked control system with dual-channel data packet loss and special discrete-time delay, where the data packet loss is described by the Markov process. To effectively alleviate network congestion, a quantizer was added to the sensor-to-controller channel. The transition probabilities of the Markov process are uncertain but exist in the convex sets of known convex polyhedron types. Mode-dependent Lyapunov function was constructed, and a sufficient condition was given to ensure the stochastic stability and performance index satisfaction of the closed-loop system. The controller parameters were solved using the linear matrix inequality method. Finally, an aircraft example demonstrates the effectiveness of the proposed approach, and a numerical example shows its superiority compared to other literature.