Parameterized solution of the dead-beat ripple-free control problem for multirate sampled-data systems

The purpose of the paper is to provide a parameterization of all causal feedback periodic controllers which guarantee the dead-beat ripple-free behaviour of the output of a linear time-invariant plant with a general multirate control scheme. A polynomial approach is adopted and the parameterized solution is defined in terms of the general solution of a proper diophantine equation.