Fractional Model Predictive and Adaptive Fractional Model Predictive Controller Design

Recently, model predictive controller design for the FO model of dynamical systems has attracted many researchers. In [1], authors discuss how to design generalized predictive control for a fuel cell using fractional calculus. In [2], authors discuss the designing of switched state MPC for fractional-order discrete-time systems. In paper [4], discrete-time FO systems have been considered for MPC controller design. Articles [3] and [5] uses the same methodology to design control law to control the response of the system efficiently. More recently, paper [6] discuss developing a fractional MPC which can be used to control the temperature efficiently in industrial processes. In [3], an idea of how to design MPC for FO systems is presented which is built upon in this chapter to obtain the controller design for a different system. In this chapter, a FO model of a system is chosen using the method discussed in Chap. 3 and then the MPC controller is obtained for efficient control of the considered system. The fractional MPC (FMPC) control design method has tremendous potential to improve system performance. However, some properties of FMPC controller design is at present a subject of in-depth analysis and experimentation.