Model Predictive Control of General Fractional Order Systems Using a General Purpose Optimal Control Problem Solver: RIOTS

2019 ◽  
Author(s):  
Sina Dehghan ◽  
Tiebiao Zhao ◽  
YangQuan Chen ◽  
Taymaz Homayouni
Keyword(s):  
Optimal Control ◽  
Model Predictive Control ◽  
Fractional Order ◽  
Predictive Control ◽  
Order System ◽  
Problem Solver ◽  
Fractional Order Systems ◽  
Application Process ◽  
Order Model ◽  
Integer Order

Abstract RIOTS is a Matlab toolbox capable of solving a very general form of integer order optimal control problems. In this paper, we present an approach for implementing Model Predictive Control (MPC) to control a general form of fractional order systems using RIOTS toolbox. This approach is based on time-response-invariant approximation of fractional order system with an integer order model to be used as the internal model in MPC. The implementation of this approach is demonstrated to control a coupled MIMO commensurate fractional order model. Moreover, the performance and its application process is compared to examples reported in the literature.

Fractional-Order Model Predictive Control of SiC PFC Converter

2021 ◽  
Author(s):  
Qihui Fu ◽  
Zishun Peng ◽  
Zipeng Ke ◽  
Huimin Quan ◽  
Zhenxing Zhao ◽  
...  
Keyword(s):  
Model Predictive Control ◽  
Fractional Order ◽  
Predictive Control ◽  
Order Model ◽  
Fractional Order Model

scholarly journals Stabilising model predictive control for discrete-time fractional-order systems

Automatica ◽  
2017 ◽  
Vol 75 ◽  
pp. 24-31 ◽  
Author(s):  
Pantelis Sopasakis ◽  
Haralambos Sarimveis
Keyword(s):  
Model Predictive Control ◽  
Fractional Order ◽  
Predictive Control ◽  
Discrete Time ◽  
Fractional Order Systems

Model Predictive Control of Fractional Order Systems

2014 ◽  
Vol 9 (3) ◽  
Author(s):  
Aymen Rhouma ◽  
Faouzi Bouani ◽  
Badreddine Bouzouita ◽  
Mekki Ksouri
Keyword(s):  
Model Predictive Control ◽  
Dynamic Behavior ◽  
Fractional Order ◽  
Predictive Control ◽  
Internal Model ◽  
Direct Method ◽  
Control Law ◽  
Thermal System ◽  
Fractional Order Systems ◽  
Derivation Operator

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.

D-Stability Based LMI Criteria of Stability and Stabilization for Fractional Order Systems

2015 ◽  
Author(s):  
XueFeng Zhang ◽  
YangQuan Chen
Keyword(s):  
Fractional Order ◽  
Feasible Solution ◽  
Order System ◽  
Linear Matrix ◽  
Fractional Order Systems ◽  
Matrix Inequalities ◽  
Integer Order ◽  
Stability And Stabilization ◽  
The Stability ◽  
Conditions Of Stability

This paper considers the stability and stabilization of fractional order systems (FOS) with the fractional order α: 0 < α < 1 case. The equivalence between stability of fractional order systems and D–stability of a matrix A in specific region is proven. The criteria of stability and stabilization of fractional order system are presented. The conditions are expressed in terms of linear matrix inequalities (LMIs) which can be easily calculated with standard feasible solution problem in MATLAB LMI toolbox. When α = 1, the results reduce to the conditions of stability and stabilization of integer order systems. Numerical examples are given to verify the effectiveness of the criteria. With the approach proposed in this paper, we can analyze and design fractional order systems in the same way as what we do to the integer order system state-space models.

Fractional-order model predictive control as a framework for electrical neurostimulation in epilepsy

2020 ◽  
Author(s):  
Sarthak Chatterjee ◽  
Orlando Romero ◽  
Arian Ashourvan ◽  
Sergio Daniel Goncalves Melo Pequito
Keyword(s):  
Model Predictive Control ◽  
Fractional Order ◽  
Predictive Control ◽  
Order Model ◽  
Fractional Order Model
Sign in / Sign up

Export Citation Format

Share Document