@incollection{eprints1030,
       booktitle = {Proceedings of the 18th IFAC World Congress, 2011 },
          volume = {18},
            note = {18th IFAC World Congress, 2011  - Universit{\`a} Cattolica del Sacro Cuore, Milano, Italy},
           title = {Stochastic model predictive control for constrained networked control systems with random time delay},
            year = {2011},
          author = {Panagiotis Patrinos and Pantelis Sopasakis and Haralambos Sarimveis},
           pages = {12626--12631},
       publisher = {IFAC},
             url = {http://eprints.imtlucca.it/1030/},
        keywords = {Stochastic optimal control problems; Parametric optimization; Control of constrained systems},
        abstract = {In this paper the continuous time stochastic constrained optimal control problem is formulated for the class of networked control systems assuming that time delays follow a discrete-time, finite Markov chain . Polytopic overapproximations of the system's trajectories are employed to produce a polyhedral inner approximation of the non-convex constraint set resulting from imposing the constraints in continuous time. The problem is cast in a Markov jump linear systems (MJLS) framework and a stochastic MPC controller is calculated explicitly, oine, coupling dynamic programming with parametric piecewise quadratic (PWQ) optimization. The calculated control law leads to stochastic stability of the closed loop system, in the mean square sense and respects the state and input constraints in continuous time.}
}