H<sub>∞</sub> controller design of state feedback networked control systems with long delay and packet dropout

Abstract

This paper studies the problem of designing robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller design of state feedback networked control systems with long delay and packet dropout controllers for state feedback networked control systems (NCSs) with long time delay and packet dropout. A switched delay-based method is proposed to model the NCSs with long time delay and packet dropout as switched systems, then the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controllers are designed for the obtained switched systems by using LMI-based method. The H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller design using the proposed switched delay-based method is proved to be less conservative than the controller design using the existing parameter uncertainty-based method. The simulation results illustrate the effectiveness of the proposed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller design methods.