Robust Output Regulation for Continuous-Time Periodic Systems

Lassi Paunonen
2017 IEEE Transactions on Automatic Control  
We construct a controller to solve robust output tracking problem for a stable linear continuous-time periodic system on a finite-dimensional space. We begin by transforming the time-dependent plant to a time-invariant discrete-time system using the "lifting technique". The controller is then designed to achieve robust output tracking for the lifted system. We show that an exact solution to the control problem for a continuous-time periodic system necessarily requires an error feedback
more » ... r with an infinite-dimensional internal model. The results are illustrated with an example where robust output tracking is considered for a stable periodic scalar system.
doi:10.1109/tac.2017.2654968 fatcat:x65oeyaj5jhflgtri444egxvou