scholarly journals Fractional-Order Model Predictive Control for Neurophysiological Cyber-Physical Systems: A Case Study using Transcranial Magnetic Stimulation

2020 ◽  
Author(s):  
Orlando Romero ◽  
Sarthak Chatterjee ◽  
Sergio Pequito
Keyword(s):  
Transcranial Magnetic Stimulation ◽  
Model Predictive Control ◽  
Fractional Order ◽  
Predictive Control ◽  
Magnetic Stimulation ◽  
Cyber Physical Systems ◽  
Order Model ◽  
Physical Systems ◽  
Fractional Order Model

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 The Potential of Fractional Order Distributed MPC Applied to Steam/Water Loop in Large Scale Ships

Processes ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 451 ◽  
Author(s):  
Shiquan Zhao ◽  
Ricardo Cajo ◽  
Robain De De Keyser ◽  
Clara-Mihaela Ionescu
Keyword(s):  
Model Predictive Control ◽  
Cost Function ◽  
Fractional Order ◽  
Predictive Control ◽  
Large Scale ◽  
Adaptive Controller ◽  
Control Performance ◽  
Order Model ◽  
Fractional Order Model ◽  
Load Fluctuation

The steam/water loop is a crucial part of a steam power plant. However, satisfying control performance is difficult to obtain due to the frequent disturbance and load fluctuation. A fractional order model predictive control was studied in this paper to improve the control performance of the steam/water loop. Firstly, the dynamic of the steam/water loop was introduced in large-scale ships. Then, the model predictive control with an extended prediction self adaptive controller framework was designed for the steam/water loop with a distributed scheme. Instead of an integer cost function, a fractional order cost function was applied in the model predictive control optimization step. The superiority of the fractional order model predictive control was validated with reference tracking and load fluctuation experiments.

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.

scholarly journals Fractional-Order Model Predictive Frequency Control of an Islanded Microgrid

Energies ◽  
2018 ◽  
Vol 12 (1) ◽  
pp. 84 ◽  
Author(s):  
Min-Rong Chen ◽  
Guo-Qiang Zeng ◽  
Yu-Xing Dai ◽  
Kang-Di Lu ◽  
Da-Qiang Bi
Keyword(s):  
Cost Function ◽  
Fractional Order ◽  
Predictive Control ◽  
Frequency Control ◽  
Optimal Frequency ◽  
Order Model ◽  
Fractional Order Calculus ◽  
Fractional Order Model ◽  
Islanded Microgrid ◽  
Fractional Order Integral

Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Grünwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.

scholarly journals Fractional-order models: The case study of the supercapacitor capacitance measurement

2017 ◽  
Vol 65 (4) ◽  
pp. 449-457 ◽  
Author(s):  
M. Lewandowski ◽  
M. Orzyłowski
Keyword(s):  
Fractional Order ◽  
Capacitance Measurement ◽  
Voltage Response ◽  
Dynamics Model ◽  
Order Model ◽  
Capacitance Measurements ◽  
Fractional Order Model ◽  
Cole Model ◽  
A Current

Abstract At the beginning of the paper, the fractional calculus is briefly presented. Then, the models of dielectric relaxation in supercapacitors are described. On the basis of the Cole-Cole model, a fractional-order model of supercapacitor impedance is formulated. The frequency characteristics of selected supercapacitors and their voltage response to a current step are assumed as a basis for the analysis of their dynamics. An example of the fractional dynamic model application was used for the critical assessment of the IEC standard recommendation on the conditions of supercapacitor capacitance measurements. The presented study shows some imperfections of the IEC standard recommendations, which probably result from the use of an inaccurate dynamics model. At the end of the paper, the authors propose a solution to this problem by changing the measurement conditions and introducing a concept of dynamic capacitance. The conclusions of the paper indicate that the models of fractional-order dynamics may be useful not only for the control purposes but also in other domains.

Sign in / Sign up

Export Citation Format

Share Document