Stability of Sequence-Based Control with Random Delays and Dropouts

Abstract

We study networked control of non-linear 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 non-linear jump system and establish sufficient conditions for stochastic stability.

7 pages, 4 Figures, to be published in IEEE Transactions on Automatic Control

References in corpus (1)

• State Estimation over Sensor Networks with Correlated Wireless Fading Channels

Cited by in corpus (4)

• Sparse and Constrained Stochastic Predictive Control for Networked Systems
• Anytime Control using Input Sequences with Markovian Processor Availability
• Mean-Square Input-Output Stability and Stabilizability of a Networked Control System with Random Channel Induced Delays
• Stabilizing Stochastic Predictive Control under Bernoulli Dropouts