Parametrization based synthesis of static feedback stabilizing controllers for uncertain discrete linear repetitive processes

The paper considers uncertain discrete-time linear repetitive processes described by a polytopic state-space model. Several parametrizations of the set of members in the class of (static) control laws that robustly stabilize these processes are developed. These are LQR, truncated LQR and stochastic parametrizations respectively. A numerical example which demonstrates the application one of the parametrizations to robust control synthesis is also given.