Novel Fractional-Order Model Predictive Control: State-Space Approach

Abstract

This paper deals with a novel approach to the fractional-order model predictive control in state space. Except well-known fractional-order models of processes (plants) with arbitrary (real) order of the derivatives in fractional differential equations a new fractional performance index (cost function) and fractional control action are considered. Such combined approach to the model predictive control provides more degrees of freedom and incorporates fractional-order dynamics into the control in the form of memory due to the property of the fractional-order operator. An illustrative example of this approach is presented.

Keywords

• Model predictive control (MPC)
• fractional calculus
• fractional-order model
• fractional derivative
• fractional-order cost function
• fractional integral