Co-design-based H∞ control for wireless networked control systems

This paper investigate H_∞ control for the networked control systems by the approach of jointly controlling network systems and control systems. Based on the available power and rate models, the argument systems of networked control systems combined with the plant are constructed. Sufficient conditions for asymptotical stability with H_∞ norm bound is obtained in terms of Lyapunov theory and linear matrix inequality (LMI) technique, which can guarantee the actual signal-to-interference ratio (SNR) tracking the desired SNR, stability of the control systems, as well as optimal capability of resisting disturbance. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.