Robust H8 Output Feedback Control for a Class of Networked Control Systems with Long Time-Delay

Abstract

This paper studies the robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> output feedback control problem for a class of uncertain networked control systems (NCSs) with long time-delay. Firstly, the NCS model with a random long time-delay is transformed into a discrete-time system model with uncertain parameters. And then, a sufficient condition for the solvability of the robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> dynamic output feedback control problem is proved and presented by a proper Lyapunov function and linear matrix inequality. The systems under action of the given controller are robust and satisfy H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance. Finally, a numerical example is provided to demonstrate the validity of the proposed method.