Periodic optimal control of multirate sampled data systems

In this paper a detailed model of a MIMO multirate sampled data system is used for control design purposes. The process model is split into a time-invariant-single-rate part, involving the basic process dynamics, and two periodic blocks reflecting the external sample/hold strategy. The resulting periodic controller and state estimator design can be done using any control design technique suitable for periodic systems. In this paper, an LQG approach is followed. The optimal solution is found by solving two sequences of recurrent Riccati equations. The approach is validated by means of a simple but general and typical example. Copyright ((C)) 2001 IFAC.