$H_{\infty}$ Output Tracking Control for Networked Systems With Adaptively Adjusted Event-Triggered Scheme

The <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {H_{\infty }}$ </tex-math></inline-formula> output tracking control problem of the networked control systems (NCSs) under an adaptively adjusted event-triggered scheme is investigated in this paper. Firstly, a novel adaptively adjusted event-triggered scheme developed in the NCSs with stochastic sensor faults is proposed to choose the necessary packets of sampled data to be transmitted through the networks. Then, the considered system is described as a time-delay system with a delay-distribution for investigation. Based on the established model, a novel stability criterion and the state-feedback controller design with a desired performance of <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {H_{\infty }}$ </tex-math></inline-formula> output tracking control for the systems are both derived by using Lyapunov functional. An algorithm is also presented to explain the process of adaptively adjusted event-triggered scheme method. Finally, a satellite tracking case is provided to demonstrate the effectiveness of the proposed approach.