Stability of Uncertain Networked Control Systems

摘要

When time-delay and data packet dropout are bounded, the networked control systems (NCSs) can be modeled as a class of systems with timevarying input delay.Based on Lyapunov-Krasovskii theorem, sufficient conditions in terms of linear matrix inequality (LMI) for the asymptotic stability of the nominal systems and uncertain systems are derived by the free weighting matrix approach.An integral term of Lyapunov functional derivative is reasonably transformed by Moon's inequality and Newton-Leibniz formula in this paper, while it is commonly ignored in most of the previous literatures, so less conservative results are obtained. The effectiveness of the criteria and algorithm are proved through numerical examples. The simulation results show that the system conservativeness is reduced significantly.