Compensated methods for networked control system with packet drops based on compressed sensing

Due to unreliable and bandwidth-limited characteristics of communication link in networked control systems, the real-time compensated methods for single-output systems and multioutput systems are proposed in this paper based on the compressed sensing (CS) theory and sliding window technique, by which the estimates of dropping data packets in the feedback channel are obtained and the performance degradation induced by packet drops is reduced. Specifically, in order to reduce the cumulative error caused by the algorithm, the compensated estimates for single-output systems are corrected via the regularization term; considering the process of single-packet transmission, a new sequential CS framework of sensor data streams is introduced to effectively compensate the dropping packet on single-channel of multi-output systems; in presence of the medium access constraints on multi-channel, the communication sequence for scheduling is coupled to the algorithm and the estimates of the multiple sensors for multi-output systems are obtained via the regularization term. Simulation results illustrate that the proposed methods perform well and receive satisfactory performance.