Stabilization of a Fractional-Order Nonlinear Brushless Direct Current Motor

2017 ◽  
Vol 12 (4) ◽  
Author(s):  
Sunhua Huang ◽  
Bin Wang
Keyword(s):  
Laplace Transform ◽  
Fractional Order ◽  
Direct Current ◽  
Sufficient Conditions ◽  
Brushless Dc Motor ◽  
Jordan Decomposition ◽  
Brushless Dc ◽  
Gronwall’S Inequality ◽  
The Laplace Transform ◽  
Brushless Direct Current Motor

This paper describes the stabilization of a fractional-order nonlinear brushless DC motor (BLDCM) with the Caputo derivative. Based on the Laplace transform, a Mittag-Leffler function, Jordan decomposition, and Grönwall's inequality, sufficient conditions are proposed that ensure the local stabilization of a BLDCM as fractional-order α: 0<α≤1 is proposed. Then, numerical simulations are presented to show the feasibility and validity of the designed method. The proposed scheme is simpler and easier to implement than previous schemes.

Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2

2018 ◽  
Vol 13 (3) ◽  
Author(s):  
Sunhua Huang ◽  
Bin Wang
Keyword(s):  
Nonlinear Systems ◽  
Fractional Order ◽  
Three Dimensional ◽  
Sufficient Conditions ◽  
Jordan Decomposition ◽  
Gronwall’S Inequality ◽  
The Laplace Transform ◽  
Stability And Stabilization ◽  
The Stability ◽  
Order Four

This study is interested in the stability and stabilization of a class of fractional-order nonlinear systems with Caputo derivatives. Based on the properties of the Laplace transform, Mittag-Leffler function, Jordan decomposition, and Grönwall's inequality, some sufficient conditions that ensure local stability and stabilization of a class of fractional-order nonlinear systems under the Caputo derivative with 1<α<2 are presented. Finally, typical instances, including the fractional-order three-dimensional (3D) nonlinear system and the fractional-order four-dimensional (4D) nonlinear hyperchaos, are implemented to demonstrate the feasibility and validity of the proposed method.

CHAOS SYNCHRONIZATION OF FRACTIONAL-ORDER DIFFERENTIAL SYSTEMS

2006 ◽  
Vol 20 (07) ◽  
pp. 791-803 ◽  
Author(s):  
CHANGPIN LI ◽  
WEIHUA DENG
Keyword(s):  
Laplace Transform ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Chaos Synchronization ◽  
Sufficient Conditions ◽  
Differential Systems ◽  
Fractional Systems ◽  
Coupling Methods ◽  
The Laplace Transform ◽  
Fractional Orders

Chaos synchronization of the Duffing, Lorenz and Rössler systems with fractional orders are studied theoretically and numerically. Three methods are applied in this paper: combination of active-passive decomposition (APD) and one-way coupling methods, Pecora–Carroll method, bidirectional coupling method. The sufficient conditions of achieving synchronization between two identical fractional systems are derived by using the Laplace transform theory. Numerical simulations demonstrate the effectiveness of the proposed synchronization schemes for these fractional systems.

Design and Simulation of Brushless Direct Current Motor Drive

2013 ◽  
Vol 850-851 ◽  
pp. 284-287
Author(s):  
Wei Meng ◽  
Lei Meng
Keyword(s):  
Control System ◽  
Direct Current ◽  
Electromagnetic Interference ◽  
Dc Motor ◽  
Low Noise ◽  
Brushless Dc Motor ◽  
Stable Operation ◽  
Brushless Dc ◽  
Direct Current Motor ◽  
Brushless Direct Current Motor

Instead of mechanical commutator for DC motor, Brushless DC motor used electronic commutator. And brushless DC motor (BLDCM) extended the effective using time of a motor and eliminated some problems caused by the mechanical commutator, such as electromagnetic interference, brush wear, frequent maintenance and etc. At the meantime, brushless DC motor inherited a few advantages from DC motor, like wide speed range, large torque, stable operation, low noise, and high power density; there is great significance in researching BLDCM control system. This paper researches the application of fuzzy control strategy in BLDCM (brushless direct-current motor) control system. The design and simulation of BLDCM control system based on DSP controller also presented in the paper.

scholarly journals Design of Sepic Convetrer Controlled Bldc Motor for Electric Vehicle

2019 ◽  
Vol 8 (4) ◽  
pp. 8994-8997
Keyword(s):  
Direct Current ◽  
Brushless Dc Motor ◽  
Bldc Motor ◽  
Brushless Dc ◽  
Brushless Motor ◽  
Direct Current Motor ◽  
Proper Design ◽  
Real Time Applications ◽  
Day By Day ◽  
Brushless Direct Current Motor

This paper represents the design and analysis of the Brushless Direct current motor. The usage of brushless motor is increasing day by day in that the design aspects are more important and the customer satisfaction is important. Based upon the rating the needs brushless DC motor is designed. The design has been done with the controllers and the real time applications such as EV, the controllers had been used to get the proper design. The results are analyzed using the MATLAB simulink software. Keywords : Brushless Direct Current Motor(BLDC),

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj&gt; 0 for eachj&gt; 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

A Fuzzy PID Controller in the System of BLDCM

2013 ◽  
Vol 365-366 ◽  
pp. 847-852
Author(s):  
Li Fang Xu ◽  
Yong Jie Han
Keyword(s):  
Pid Control ◽  
Pid Controller ◽  
Brushless Dc Motor ◽  
Control Parameters ◽  
Fuzzy Pid ◽  
Operational Control ◽  
Brushless Dc ◽  
Fuzzy Pid Controller ◽  
Basic Characteristics ◽  
Brushless Direct Current Motor

Based on the basic characteristics of fuzzy control theory and the general PID controller, a fuzzy PID controller is proposed for brushless DC motor (Brushless Direct Current Motor-BLDCM) control.The output signal PD-type is used as the input signal of fuzzy controller.Fuzzy PID controller can be adaptively adjust the PID control parameters to achieve operational control of BLDCM control system. Simulation results show that, compared with the general PID controller, fuzzy PID controller shows better characteristics on the respects of dynamic response overshoot and stability regulation time.

scholarly journals Hybrid control technique for minimizing the torque ripple of brushless direct current motor

2018 ◽  
Vol 51 (7-8) ◽  
pp. 321-335 ◽  
Author(s):  
K Prathibanandhi ◽  
R Ramesh
Keyword(s):  
Fractional Order ◽  
Direct Current ◽  
Hybrid Technique ◽  
Proportional Integral Derivative ◽  
Inference System ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral ◽  
Direct Current Motor ◽  
Torque Ripples ◽  
Brushless Direct Current Motor

This paper presented the brushless direct current motor torque ripple reduction based on the speed and torque control using hybrid technique. The dynamic behavior of the brushless direct current motor is analyzed in terms of the parameters such as the speed, current, back electromotive force and torque. Based on the parameters, the motor speed is controlled and minimized the torque ripples. For controlling the speed of the brushless direct current motor is utilized the fractional-order proportional–integral–derivative controller for generating the optimal control pulses. With the use of fractional-order proportional–integral–derivative controller, the optimal gain parameters are needed to reduce the torque ripples and control the speed of brushless direct current motor. By utilizing the hybrid technique, the gain parameters are utilized to analyze the optimal gain parameters of fractional-order proportional–integral–derivative controller. The hybrid technique is the combination of adaptive neuro-fuzzy inference system with firefly algorithm. The proposed strategy is simple in structure and robust to reduce the complexities of the mathematical computations. Initially, the nature inspired optimization algorithm of firefly algorithm is analyzed for finding the error function. In addition, the efficient adaptive neuro-fuzzy inference system controller which becomes an integrated method of approach is performed to control the error functions in order to yields excellent optimized gain values. After that, the control signals are applied to the input of voltage source converter of brushless direct current motor. With this control strategy, the harmonics and torque ripples are minimized. Based on the proposed control strategy, the speed and torque performance is analyzed. The effectiveness of the proposed technique is implemented in MATLAB/Simulink platform and evaluates their performance. The performance analysis of the proposed method is demonstrated and contrasted with the existing techniques such as bat algorithm, particle swarm optimization algorithm and ant–lion optimizer algorithm with fractional-order proportional–integral–derivative controller techniques.

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