Quantitative Analysis for Networked Output Feedback MPC of Clock Synchronization in Unreliable WSN

In the industrial cyber-physical environment, the performance of clock synchronization with loss of data packets should be analyzed quantitatively. The localized state estimator and controller are designed to realize the speed of convergence for exponential stability of the clock synchronization for the output feedback tubes-model predictive control (Tubes-MPC) of the state-space model. The upper and lower bounds for the variance of synchronization error under the statistical significance were quantitatively analyzed in incomplete measurement. The set of interference error in complete measurement was added into the set of additional estimated errors introduced by packet loss. Clock synchronization of the output feedback Tubes-MPC which has been constructed still has the performance of robust exponential convergence under networked packet loss, and it can be extended to an absolute state-space model with network-level in a unified approach.