Stability Analysis and Synthesis for Nonlinear Networked Control Systems

The paper is concerned with stabilization of nonlinear networked systems which are described by the Takagi-Sugeno fuzzy systems. Based on Lyapunov-Krasovskii stability theorem, stability analysis and control design problems are considered. Novel Lyapunov-Krasovskii function and corresponding generalized controller allow to obtain less conservative conditions for the networked control system to be asymptotically stable. Furthermore, free matrix parameter method is introduced. This method is known to reduce the conservatism in control design conditions. With such novel controller and novel Lyapunov-Krasovskii function, a new controller design method is proposed. Resulting conditions for a controller to stabilize the networked control system are less conservative and are applicable for a wider class of nonlinear systems.