Robust $H_{\infty}$ Output Feedback Control of Networked Control Systems With Discrete Distributed Delays Subject to Packet Dropout and Quantization

This paper studies the robust <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> control problem of networked linear time-delay systems with discrete distributed delays, involving random packet dropout and quantization. Assume that the measured output of the networked time-delay system can be quantized by the logarithmic quantizer before being transmitted through the communication network. In addition, an appropriate compensation strategy is proposed to reduce the effect of the data packet dropout satisfying a Bernoulli distribution. To deal with the quantization issue, the sector bound method can be used to convert the quantized control problem of the networked system into the robust control problem with uncertainty. Then, a novel observer-based <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> output feedback controller is designed to ensure that the networked system is exponentially mean-square stable and an expected <inline-formula> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> performance constraint is achieved. Finally, a simulation example is given to prove the effectiveness of the proposed design method.