An H<sub>∞</sub> control design approach to networked control systems

This paper is concerned with the design problem of robust H∞ control for linear networked control systems (NCSs) with network-induced delay and data packet dropout. By choosing a new Lyapunov-Krasovskii functional, a sufficient condition on the existence of robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller is derived in the form of a matrix inequality. No model transformation is needed and no redundant matrix variable is introduced. Then an iterative algorithm is introduced for obtaining the robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> controller design method based on the matrix inequality. No parameter needs to be selected in advance. Two numerical examples are finally given to illustrate the effectiveness of the proposed algorithm.