A variable structure control scheme was proposed for the networked control systems with the networks existing between sensors and controllers. However, the full state of plant can not be directly measurable, so an observer-based controller was established. If the considered delay is smaller than the maximum admissible delay, the observer gain matrix can be calculated by solving a linear matrix inequality that guarantees the error system to be exponential asymptotically stable. The controller gain matrix can be determined by using pole placement or optimal control method and the main results can guarantee the sliding mode to be exponential asymptotically stable. Using the exponential reaching index can adjust the corresponding parameters to weaken the jittering so that the required performance of systems is ensured. A simulation example was given to illustrate the feasibility and effectiveness of the proposed method.
Xu J,Wang L,Li Y.Networked control based on sliding mode for a class of state-delay system //Proceedings of the 6th World Congress on Intelligent Control and Automation.Piscataway,NJ:IEEE,2006:4539-4542
Fang L,Wu Z,Liu J,et al.Sliding mode variable structure control of networked control system //Proceedings of the IEEE International Conference on Automation and Logistics.Piscataway,NJ:IEEE,2007:2660-2664
Montestruque L,Antsaklis P.On the model-based control of networked systems[J].Automatica.2003,39:1837-1843
Mu S,Chu T,Hao F,et al.Output feedback control of networked control systems //Proceedings of the IEEE International Conference on Systems,Man & Cybernetics.Piscataway,NJ:IEEE,2003:211-216
Gu K.An integral inequality in the stability problem of time-delay systems //Proceedings of the 39th IEEE Conference on Decision and Control.Piscataway,NJ:IEEE,2000:2805-2810
Mao X,Koroleva N,Rodkina A.Robust stability of uncertain stochastic differential delay equations [J].Systems & Control Letters,1998,35:325-336