IEEE Transactions on Automatic Control, Vol.59, No.5, 1296-1302, 2014
Stability of Sequence-Based Control With Random Delays and Dropouts
We study networked control of nonlinear systems where system states and tentative plant input sequences are transmitted over unreliable communication channels. The sequences are calculated recursively by using a pre-designed nominally stabilizing state-feedback control mapping to plant state predictions. The controller does not require receipt acknowledgments or knowledge of delay or dropout distributions. For the i.i.d. case, in which case the numbers of consecutive dropouts are geometrically distributed, we show how the resulting closed loop system can be modeled as a Markov nonlinear jump system and establish sufficient conditions for stochastic stability.
Keywords:Control over networks;networked control systems;nonlinear control systems;packet drops;random time delay;stability analysis;stochastic systems