Model Predictive Control of Fractional Order Systems
Aymen Rhouma1, Faouzi Bouani2, Badreddine Bouzouita1
1Université de Tunis El Manar , Ecole Nationale d'Ingénieurs de Tunis, LR11ES20 Laboratoire Analyse, Conception et Commande des Systèmes, Tunis 1002 , Tunisia.
Abstract:
This paper provides the model predictive control (MPC) of fractional order systems. The direct method will be used as internal model to predict the future dynamic behavior of the process, which is used to achieve the control law. This method is based on the Grünwald-Letnikov's definition that consists of replacing the noninteger derivation operator of the adopted system representation by a discrete approximation. The performances and the efficiency of this approach are illustrated with practical results on a thermal system and compared to the MPC based on the integer ARX model.
Related Concept Videos
First Order Systems
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
Time and frequency -Domain Interpretation of PI Control
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
Time-Domain Interpretation of PD Control
Consider the example of control of motor torque. Initially, a positive...
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
PI Controller: Design
PD Controller: Design
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...

