Simultaneous ripple-free tracking problem for multirate sampled-data systems

The authors investigate the dead-beat ripple-free output control problem for multirate sampled-data systems. The simultaneous tracking of reference signals varying in a prespecified class is considered. Reference is made to an error-actuated control system structure, and necessary and sufficient conditions for the problem solvability are given in a constructive way. The proposed approach involves the associated time-invariant representation of periodic systems and polynomial matrix methods