On external semi-global stochastic stabilization of a double integrator with input saturation

Anton A. Stoorvogel, Ali Saberi
2008 2008 47th IEEE Conference on Decision and Control  
This paper considers external semi-global stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. Recently, it has been shown that for criticaly stable systems there exists a linear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector in the presence of disturbances and
more » ... an distributed initial conditions. We report how this result extends to a double integrator with input saturation
doi:10.1109/cdc.2008.4739255 dblp:conf/cdc/StoorvogelS08 fatcat:37uuy77f3vhabkxpguq5ataz7i