Abstract:In the cyberphysical environment, the loss of packet with clock information will have an impact on clock synchronization performance during clock synchronization bidirectional information exchange process. This paper discusses the output feedback model predictive control based on tubes (TubesMPC) clock synchronization method based on the state space model of modern control theory. Based on the principle of separation, the localized state estimator and controller are designed. And the exponential stability of the output feedback TubesMPC clock synchronization is realized. Based on the observation model under incomplete measurement, the upper bound and lower bound of the variance of synchronization error in statistical meaning are analyzed quantitatively, and using the SetTheoryinControl method in MPC, the interference error set under complete measurement is intersected with the set of additional estimation errors introduced by packet loss. The optimization model of model prediction under set constraints is established. The constructed output feedback TubesMPC clock synchronization systematic method in a unified framework comprehensively considers the application feasibility of control theory online computational complexity and network control perspective, has robustness to the unreliability, network size and convergence performance of wireless network, and can be easily extended to the network level absolute clock state space model.