Integrated Stabilizing Control for NCSs with Intermittent Observation and Multiple Random Transmission Delays

In this paper, we mainly investigate sampled-data networked control systems (NCSs) operating over wireless communication networks featuring multi-path channels. Affected by limited bandwidth power, the transmission of the observed state signals from the sensor to the controller may suffer packet loss leading to intermittent observation. And due to an unreliable multi-path routing network, the conveyance of control signals from the controller to the actuator is subject to random transmission delays. By proposing an idle-time-based scheduling policy with a pre-defined deadline constraint for signal reception on the actuator side, we transform the integrated system into a stochastic one with constant input delay. Based on this, we derive a set of Riccati-type stabilization conditions, which are necessary and sufficient, and design the stabilizing control policy in terms of the feedback of the optimal estimate with minimum mean square error. Additionally, for the scalar case, we study the existence and uniqueness properties of the maximum sampling period, and develop an algorithm based on system parameters, service quality and packet loss rate.