Robust stabilization and H∞ control for networked control systems with data packet dropout and delays

Delay-dependent robust stochastic stabilization and H_infin control problems for a class of networked control systems (NCSs) with data packet dropout and delays are investigated. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent criteria in terms of LMIs are derived by introducing some free weighting matrices which can be chosen properly to lead to much less conservative results. The H_infin controller with disturbance attenuation level to guarantee the stability of the systems can be obtained effectively by solving a set of LMIs. Numerical examples are given to illustrate the effectiveness of the proposed methods and an improvement over some existing results.