On the robust control of stable minimum phase plants with large uncertainty in a time constant. A fractional-order control approach

Automatica ◽  
2014 ◽  
Vol 50 (1) ◽  
pp. 218-224 ◽  
Author(s):  
Vicente Feliu-Batlle ◽  
Fernando J. Castillo-García
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Time Constant ◽  
Minimum Phase ◽  
Large Uncertainty ◽  
Fractional Order Control ◽  
Control Approach

On Robust Control of Fractional Order Plants: Invariant Phase Margin

2015 ◽  
Vol 10 (5) ◽  
Author(s):  
Mohammad Hossein Basiri ◽  
Mohammad Saleh Tavazoei
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Phase Margin ◽  
Crossover Frequency ◽  
Large Uncertainty ◽  
Robust Controller ◽  
Numerical Examples

Recently, a robust controller has been proposed to be used in control of plants with large uncertainty in location of one of their poles. By using this controller, not only the phase margin and gain crossover frequency are adjustable for the nominal case but also the phase margin remains constant, notwithstanding the variations in location of the uncertain pole of the plant. In this paper, the tuning rule of the aforementioned controller is extended such that it can be applied in control of plants modeled by fractional order models. Numerical examples are provided to show the effectiveness of the tuned controller.

Fractional Order LQR for Optimal Robust Control of a Simple Structure

2007 ◽  
Author(s):  
Abdollah Shafieezadeh ◽  
Keri Ryan ◽  
YangQuan Chen
Keyword(s):  
Robust Control ◽  
Control Problem ◽  
Fractional Order ◽  
Simple Structure ◽  
Control Method ◽  
Linear Quadratic Regulator ◽  
Linear Quadratic ◽  
Fractional Damping ◽  
Fractional Order Control

This study combines fractional order control with linear quadratic regulator (LQR) for optimal robust control of a simple civil structure. As a first attempt, the purpose of this paper is to demonstrate that, when fractional damping is introduced, additional benefits can be obtained over the best traditional control method. The control problem of this paper can be used as a simple benchmark example to test new control ideas before applying to more complicated models.

scholarly journals A Comparison between Integer and Fractional Order PDμ Controllers for Vibration Suppression

2016 ◽  
Vol 1 (1) ◽  
pp. 273-282 ◽  
Author(s):  
Isabela R. Birs ◽  
Cristina I. Muresan ◽  
Silviu Folea ◽  
Ovidiu Prodan
Keyword(s):  
Frequency Domain ◽  
Cantilever Beam ◽  
Fractional Order ◽  
Vibration Suppression ◽  
Fractional Order Control ◽  
Control Approach ◽  
Active Vibration Suppression ◽  
Derivative Type ◽  
Active Vibration ◽  
Airplane Wing

AbstractAlong the years, unwanted vibrations in airplane wings have led to passenger discomfort. In this study, the airplane wing is modeled as a cantilever beam on which active vibration suppression is tested. The paper details the tuning of both integer and fractional order Proportional Derivative type controllers based on constraints imposed in the frequency domain. The controllers are experimentally validated and the results prove once more the superiority of the fractional order control approach.

Adaptive Robust Control for a Class of Non-Minimum Phase Nonlinear System

2006 ◽  
Author(s):  
Bo Xie ◽  
Bin Yao
Keyword(s):  
Robust Control ◽  
Nonlinear Systems ◽  
Tracking Error ◽  
Control Design ◽  
Adaptive Robust Control ◽  
Minimum Phase ◽  
Control Approach ◽  
Internal States ◽  
Robust Control Design ◽  
Error Dynamics

The paper presents the state feedback adaptive robust control approach to track the reference input for a class of nonminimum phase nonlinear systems. The key for this approach is to combine the adaptive robust control design techniques and the inputto-state property to deal with a class of non-minimum phase nonlinear systems with unknown parameter and unstructural uncertainties. The control design will guarantee that the tracking error dynamics is stabilized with bounded internal states and the closed-loop system is robust to the unstructural uncertainties.

scholarly journals Robust Control of Doubly Fed Induction Generator Using Fractional Order Control

2018 ◽  
Vol 9 (3) ◽  
pp. 1072 ◽  
Author(s):  
Abdelaziz Azza ◽  
Hamid Kherfane
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Design Method ◽  
External Disturbance ◽  
Maximum Power ◽  
Critical Conditions ◽  
Induction Generator ◽  
Doubly Fed Induction Generator ◽  
Fractional Order Control ◽  
Doubly Fed

In this paper, we present a robust control of a variable speed Doubly Fed Induction Generator (DFIG)-based Wind Energy Conversion System (WECS), using Fractional Order Control (FOC) to prevent system deterioration under different critical conditions (external disturbance, measurement noise and DFIG parameters variation). In order to extract the maximum power from the wind, a Maximum Power Point Tracking (MPPT) strategy based on rotor speed control is proposed. Furthermore, a vector control strategy is used for controlling active and reactive powers of DFIG. Additionally, a simple design method of Fractional Order Proportional Integral (FOPI) controller is proposed. Finally, the system’s performance is tested and compared according to reference tracking, robustness, disturbance rejection and noise minimization.

scholarly journals A Robust Control Method forQ-SSynchronization between Different Dimensional Integer-Order and Fractional-Order Chaotic Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Adel Ouannas ◽  
Raghib Abu-Saris
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Control Method ◽  
Control Approach ◽  
Integer Order ◽  
Control Scheme ◽  
Master System ◽  
Different Dimensions ◽  
Hyperchaotic Systems

A robust control approach is presented to study the problem ofQ-Ssynchronization between Integer-order and fractional-order chaotic systems with different dimensions. Based on Laplace transformation and stability theory of linear integer-order dynamical systems, a new control law is proposed to guarantee theQ-Ssynchronization betweenn-dimensional integer-order master system andm-dimensional fractional-order slave system. This paper provides further contribution to the topic ofQ-Schaos synchronization between integer-order and fractional-order systems and introduces a general control scheme that can be applied to wide classes of chaotic and hyperchaotic systems. Illustrative example and numerical simulations are used to show the effectiveness of the proposed method.

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