Control with random communication delays via a discrete-time jump system approach

TITLE: Control with random communication delays via a discrete-time jump system approach
AUTHOR: L. Xiao, A. Hassibi, and J. How
ABSTRACT: Digital control systems with random but bounded delays in the feedback loop can be modeled as finite-dimensional, discrete-time jump linear systems, with the transition jumps being modeled as finite-state Markov chains. This type of system can be called a ``stochastic hybrid system''. Due to the structure of the augmented state-space model, control of such a system is an output feedback problem, even if a state feedback law is intended for the original system. We present a V-K iteration algorithm to design switching and non-switching controllers for such systems. This algorithm uses an outer iteration loop to perturb the transition probability matrix. Inside this loop, one or more steps of V-K iteration is used to do controller synthesis, which requires the solution of two convex optimization problems constrained by LMI's.
STATUS: In Proceedings of American Control Conference, Chicage, IL, June 2000.
PAPER: ps, pdf