Static and dynamic controllers for boundary controlled distributed parameter systems

In this paper the authors describe a systematic methodology for solving certain problems of output regulation for abstract boundary control systems using dynamic and static controllers. For the special systems considered in this work, the controllers are designed using the composite zero dynamics system obtained from the plant and exosystem by constraining the error (the difference between the measured output and signal to be tracked) to be zero. Under our assumptions the proof of the main result is very simple. On the other hand, in applications this result is quite easy to apply and provides a very simple design procedure for a wide range of problems that can otherwise be difficult to solve.