A sub-optimal solution for optimal control of linear systems with unmeasurable switching delays

摘要

We consider the optimal control design problem for discrete-time LTI systemswith state feedback, when the actuation signal is subject to unmeasurableswitching propagation delays, due to e.g. the routing in a multi-hopcommunication network and/or jitter. In particular, we set up a constrainedoptimization problem where the cost function is the worst-case $\mathcal{L}_2$norm for all admissible switching delays. We first show how to model thesesystems as pure switching linear systems, and as main contribution of the paperwe provide an algorithm to compute a sub-optimal solution.