Feedback channel in linear noiseless dynamic systems controlled over the packet erasure network

This paper is concerned with tracking state trajectory at remote controller, stability and performance of linear time-invariant noiseless dynamic systems with multiple observations over the packet erasure network subject to random packet dropout and transmission delay that does not necessarily use feedback channel full time. Three cases are considered in this paper: i) without feedback channel, ii) with feedback channel intermittently, and iii) with full time availability of feedback channel. For all three cases, coding strategies that result in reliable tracking of state trajectory at remote controller with asymptotically zero mean absolute estimation error are presented. Asymptotic mean absolute stability of the controlled system equipped with each of these coding strategies is shown; and trade-offs between duty cycle for feedback channel use, transmission delay and performance, which is defined in terms of the settling time, are studied. Index-Terms: Networked control system, stability and performance, feedback channel.