Fractional IMC-PID-filter controllers design for non integer order systems

Abstract Fractional order controller design with a small number of tuning parameters is very attractive. Few attempts have been done recently for some limited cases of models. In this paper, a new approach is developed to design simple fractional-order controllers to handle fractional order processes. The fractional property is not especially imposed by the controller structure but by the closed-loop reference model. The resulting controller is fractional but it has a very interesting structure for its implementation. Indeed, the controller can be decomposed into two transfer functions: a PI υ D μ -controller and a simple fractional filter. The new structure is named PI υ D μ - FOF -controller. The design method is based on the internal model control (IMC) paradigm.

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