Soft real-time scheduling of networked control systems with dropouts governed by a Markov chain

This paper derives an equation for a networked control system´s performance as a function of the network´s dropout process. The dropout process is governed by a Markov chain. The equation computes the system output power as a function of the Markov chain´s transition matrix. This equation is used to pose an optimization problem whose solution yields the transition matrix the optimized closed loop output power for fixed average dropout rates.