Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants

2017 ◽  
pp. 121-151 ◽  
Author(s):  
Manuel A. Duarte-Mermoud ◽  
Norelys Aguila-Camacho ◽  
Javier A. Gallegos ◽  
Juan C. Travieso-Torres
Keyword(s):  
Fractional Order ◽  
Order Model ◽  
Model Reference ◽  
Adaptive Controllers ◽  
First Order ◽  
Fractional Order Model ◽  
Model Reference Adaptive

Switched Fractional Order Model Reference Adaptive Control for First Order Plants: a Simulation-Based Study

2021 ◽  
Author(s):  
Norelys Aguila Camacho ◽  
JorgeE García Bustos ◽  
EduardoI Castillo López ◽  
Javier A. Gallego ◽  
JuanC TraviesoTorres
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Reference Model ◽  
Model Reference Adaptive Control ◽  
System Behavior ◽  
Order Model ◽  
Model Reference ◽  
First Order ◽  
Fractional Order Model ◽  
Model Reference Adaptive

Abstract This paper presents the results and analysis of an exhaustive simulation study where Switched Fractional Order Model Reference Adaptive Control (SFOMRAC) is used for first order plants, along with the analytical proof of boundedness and convergence of the scheme. The analysis is focused on the controlled system behavior through the integral of the timed squared control error (ITSE) and on the control energy though the integral of the squared control signal (ISI). Controller parameters such as fractional order, adaptive gain and switching time are varied along the simulation studies, as well as plant parameters and reference models. The results show that SFOMRAC controllers can be found for every plant and reference model used, such that both system behavior and control energy can be improved, compared to equivalent non switched fractional order and integer order control strategies.

Switched Fractional Order Model Reference Adaptive Control for an Automatic Voltage Regulator

2021 ◽  
Author(s):  
Norelys Aguila-Camacho ◽  
Jorge E. García-Bustos ◽  
Eduardo I. Castillo-López
Keyword(s):  
Fractional Order ◽  
Adaptive Controller ◽  
System Response ◽  
Voltage Regulator ◽  
Order Model ◽  
Model Reference ◽  
Fractional Order Model ◽  
Automatic Voltage Regulator ◽  
Adaptive Laws ◽  
Model Reference Adaptive

Abstract This paper presents the design and implementation of a Switched Fractional Order Model Reference Adaptive Controller (SFOMRAC) for an Automatic Voltage Regulator (AVR). The fractional orders, adaptive gains and switching times of the controller adaptive laws are tuned offline, using Particle Swarm Optimization (PSO). The functional to be optimized contains not only parameters of the AVR response but also the control energy. The obtained controllers are compared to non switched Integer Order Model Reference Adaptive Controller (IOMRAC) and non switched Fractional Order Model Reference Adaptive Controller (FOMRAC) proposed previously for this process, showing that the SFOMRAC can improve both, the system response and the control energy used.

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