Parameter tuning and hardware implementation of a non integer order PID controller

In this paper a new type of PID controllers is introduced and some tuning properties are given. The novelty of the proposed controller consists in the extension of derivation and integration order from integer to non integer numbers. This approach provides a more flexible tuning strategy and therefore an easier achieving of control requirements with respects to classical one. Some examples are also reported to validate the introduced strategy. Moreover two approaches for controller implementation are proposed. The first one is based on digital circuits while the second proposes the analog approach.