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.

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 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.

Chaos Suppression in Fractional order Permanent Magnet Synchronous Generator in Wind Turbine Systems

2017 ◽  
Vol 6 (2) ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Dynamic Properties ◽  
Synchronous Generator ◽  
Adaptive Controller ◽  
Control Technique ◽  
Order Model ◽  
Permanent Magnet Synchronous Generator ◽  
Chaos Suppression ◽  
Fractional Order Model

AbstractIn this paper we investigate the control of three-dimensional non-autonomous fractional-order uncertain model of a permanent magnet synchronous generator (PMSG) via a adaptive control technique. We derive a dimensionless fractional order model of the PMSM from the integer order presented in the literatures. Various dynamic properties of the fractional order model like eigen values, Lyapunov exponents, bifurcation and bicoherence are investigated. The system chaotic behavior for various orders of fractional calculus are presented. An adaptive controller is derived to suppress the chaotic oscillations of the fractional order model. As the direct Lyapunov stability analysis of the robust controller is difficult for a fractional order first derivative, we have derived a new lemma to analyze the stability of the system. Numerical simulations of the proposed chaos suppression methodology are given to prove the analytical results derived through which we show that for the derived adaptive controller and the parameter update law, the origin of the system for any bounded initial conditions is asymptotically stable.

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.

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