Abstract
Periodic controllers used in conjunction with finite-dimensional linear time-invariant (FDLTI) plants can offer a new dimension of flexibility in the design process. In particular, they have been used to achieve equivalent state feedback without observers, pole assignment, zero assignment, gain margin improvement, strong and simultaneous stabilization and the removal of decentralized fixed modes in decentralized control. This paper reviews five of the more commonly used periodic controllers. A comparison of these controllers with conventional LTI controllers in solving classical control problems is also made. Furthermore, advantages and disadvantages of these controllers are highlighted.