Mode-dependent robust stability and stabilisation of uncertain networked control systems via an average dwell time switching approach

The stability analysis and synthesis problem of networked control systems (NCSs) with communication limits and system uncertainties is investigated via an average dwell time switching control method. Active time-varying sampling strategy and hybrid node driven mode are proposed to generate a series of one-step time delay subsystems of closed-loop NCS. Gridding approach is introduced to transform the continuous time axis into discrete time sequences which limits the switching rules in a finite set. By constructing multiple parameter-dependent quadratic Lyapunov-like functions with norm bounded uncertainties, sufficient stability conditions are derived and the robust mode-dependent network controller is designed to guarantee the proposed uncertain switched NCS globally asymptotically stable for any switching signal with admissible ADT. A for-loop algorithm is integrated into the formulated LMI optimisation problem to avoid predefining the switching sequence and the occurring times of network induced factors. Finally, simulation results illustrate the effectiveness of the proposed methods.