scholarly journals On positive normalization of fractional order continuous disturbance singular system

2019 ◽  
pp. 34-38
Author(s):  
Muhafzan ◽  
Admi Nazra ◽  
Lyra Yulianti ◽  
Zulakmal
Keyword(s):  
Linear System ◽  
Fractional Derivative ◽  
Fractional Order ◽  
Closed Loop ◽  
Singular System ◽  
Research Field ◽  
Loop System ◽  
Sufficient Condition ◽  
Closed Loop System ◽  
Order Continuous

Recently, the fractional order continuous singular system becomes research field that much discussed by various researchers. The normalization constitutes a variant of discussing for fractional order singular system. The procedure to normalize positively of the fractional order continuous disturbance singular system is discussed in this paper. Some sufficient condition that guarantees the existence of a fractional derivative output feedback such that the closed loop system constitutes a fractional order usual linear system and positive, is established. The considered problem is solved by transforming it into a usual fractional order linear system, and afterwards it is analyzed using algebraic principle. The final result of this paper is a sufficient condition that guarantees the existence of a fractional derivative feedback such that the closed loop system constitutes a fractional order usual linear system and positive.

Series Analysis of a Closed-Loop System Containing a Loaded Hydraulic Relay

1964 ◽  
Vol 179 (1) ◽  
pp. 847-855 ◽  
Author(s):  
A. E. Cook ◽  
H. S. Heaps
Keyword(s):  
Linear System ◽  
Infinite Series ◽  
Closed Loop ◽  
Loop System ◽  
Error Signal ◽  
Closed Loop System ◽  
Velocity Feedback ◽  
Feed Forward ◽  
Signal Velocity ◽  
Forcing Function

Analysis is made of a closed-loop system that contains a hydraulic relay. It is shown that the ramp response of a system with an error signal, velocity feed-forward, and velocity feedback, may be expressed as a rapidly convergent infinite series whose terms may each be determined as the response of a linear system in the presence of a forcing function. Inclusion of a small number of terms in the series is sufficient to provide excellent prediction of the error signal. Similar analysis and results are presented for the system subject to a Coulomb load.

The variable, fractional-order discrete-time PD controller in the IISv1.3 robot arm control

Open Physics ◽  
2013 ◽  
Vol 11 (6) ◽  
Author(s):  
Piotr Ostalczyk ◽  
Dariusz Brzezinski ◽  
Piotr Duch ◽  
Maciej Łaski ◽  
Dominik Sankowski
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
Output Signal ◽  
Closed Loop ◽  
Loop System ◽  
Robot Arm ◽  
Pd Controller ◽  
Closed Loop System ◽  
Loop Control ◽  
Robot Arm Control

AbstractIn this paper, the discrete differentiation order functions of the variable, fractional-order PD controller (VFOPD) are considered. In the proposed VFOPD controller, a variable, fractional-order backward difference is applied to perform closed-loop, system error, discrete-time differentiation. The controller orders functions which may be related to the controller input or output signal or an input and output signal. An example of the VFOPD controller is applied to the robot arm closed-loop control due to system changes in moment of inertia. The close-loop system step responses are presented.

Global Stabilization for a class of nonlinear fractional-order systems

2019 ◽  
Vol 10 (01) ◽  
pp. 1941009 ◽  
Author(s):  
Taide Liu ◽  
Feng Wang ◽  
Wanchun Lu ◽  
Xuhuan Wang
Keyword(s):  
Lyapunov Function ◽  
Fractional Order ◽  
Closed Loop ◽  
The State ◽  
Loop System ◽  
Global Stabilization ◽  
Fractional Order Systems ◽  
Closed Loop System ◽  
Integer Order ◽  
Backstepping Algorithm

The problem of Mittag–Leffler stabilization (MLS) is studied for a class of nonlinear non-integer order systems. The stabilizer is constructed by using the Lyapunov function and backstepping algorithm. The continuous controller is designed to ensure that the state of the nonlinear fractional-order closed-loop system converges to the equilibrium. Two simulation examples are given to illustrate the effectiveness of the method.

scholarly journals Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Abimael Salcedo ◽  
Joaquin Alvarez
Keyword(s):  
Continuous Time ◽  
Closed Loop ◽  
Equilibrium Points ◽  
Nonlinear Function ◽  
Loop System ◽  
Closed Loop System ◽  
First Order ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Order Continuous

A technique to generate (periodic or nonperiodic) oscillations systematically in first-order, continuous-time systems via a nonlinear function of the state, delayed by a certain time d, is proposed. This technique consists in choosing a nonlinear function of the delayed state with some passivity properties, tuning a gain to ensure that all the equilibrium points of the closed-loop system be unstable, and then imposing conditions on the closed-loop system to be semipassive. We include several typical examples to illustrate the effectiveness of the proposed technique, with which we can generate a great variety of chaotic attractors. We also include a physical example built with a simple electronic circuit that, after applying the proposed technique, displays a similar behavior to the logistic map.

Internal Model Control–Proportional Integral Derivative–Fractional-Order Filter Controllers Design for Unstable Delay Systems

2015 ◽  
Vol 138 (2) ◽  
Author(s):  
Kahina Titouche ◽  
Rachid Mansouri ◽  
Maamar Bettayeb ◽  
Ubaid M. Al-Saggaf
Keyword(s):  
Fractional Order ◽  
Internal Model ◽  
Closed Loop ◽  
Control Structure ◽  
Internal Model Control ◽  
Loop System ◽  
Proportional Integral Derivative ◽  
Closed Loop System ◽  
Proportional Integral ◽  
Model Control

An analytical design for proportional integral derivative (PID) controller cascaded with a fractional-order filter is proposed for first-order unstable processes with time delay. The design algorithm is based on the internal model control (IMC) paradigm. A two degrees-of-freedom (2DOF) control structure is used to improve the performance of the closed-loop system. In the 2DOF control structure, an integer order controller is used to stabilize the inner-loop, and a fractional-order controller for the stabilized system is employed to improve the performance of the closed-loop system. The Walton–Marshall's method, which is applicable to quasi-polynomials, is then used to establish the internal stability condition of the closed-loop system (the fractional part of the controller in particular) and to seek the set of stabilizing proportional (P) or proportional-derivative (PD) controller parameters.

Educational tool for analysis of proportional integral and fractional order proportional integral controlled quadratic boost converter system using MATLAB/simulink

2021 ◽  
pp. 002072092110134
Author(s):  
Nandha Gopal J ◽  
Muthuselvan NB
Keyword(s):  
Wind Turbine ◽  
Fractional Order ◽  
Closed Loop ◽  
Boost Converter ◽  
Loop System ◽  
Educational Tool ◽  
Closed Loop System ◽  
Simple Method ◽  
Matlab Simulink ◽  
Proportional Integral

This paper displays an simple method for identification of controller for wind based Quadratic Boost Converter Inverter system. India, being the fourth largest wind power generator has attracted numerous researchers towards the improvement of wind energy conversion system. This paper also presents improved controller techniques for a Permanent Magnet Synchronous Generator (PMSG) coupled with Cascaded Quadratic Boost Converter (QBC) and Space Vector Modulation Inverter (SVMI). The digital simulation and execution of PMSG based wind turbine along with QBC and SVM Inverter is presented in a closed loop system. The performance of closed loop system is realized using Proportional Integral (PI) and Fractional Order Proportional Integral (FOPI) controllers. Initially, the AC power from PMSG wind turbine is rectified to DC using rectifier circuit. The DC power from the bridge rectifier is then boosted to the required level using quadratic boost converter. The output from QBC is then given to the SVM inverter. The closed loop investigations are carried with PI and FOPI controllers. The simulation results of both PI and FOPI controlled QBC are compared. The outcome of FOPI controller represents that the steady state error and settling time are reduced when compared to PI controlled closed loop Quadratic Boost Converter. The overall Matlab/simulink model is applied to undergraduate/postgraduate course as a educational tool and assessed thoroughly.

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