Robust Network-Based $H_{\infty}$ Control with a Low Overshoot for Linear Continuous System

In this paper, we address robust network-based $H_{\infty}$ control with a low overshoot for linear system. The problem is turned into a problem of multi-objective $H_{\infty}$ and FTB (finite-time boundedness) network-based control. Based on newly proposed sufficient conditions of FTB, a state feedback controller is designed such that the closed-loop system possesses $H_{\infty}$ performance, and the states fall in a preseted region in a preseted time interval. Numerical simulations point out that desired performance of the newly proposed control schemes can be accomplished by a satellite system.