Stability analysis of fractional order systems based on T–S fuzzy model with the fractional order $$\alpha : 0<\alpha <1$$ α : 0 < α < 1

2014 ◽  
Vol 78 (4) ◽  
pp. 2909-2919 ◽  
Author(s):  
Yuting Li ◽  
Junmin Li
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Fuzzy Model ◽  
Fractional Order Systems

Large-scale fractional-order systems: stability analysis and their decentralised functional observers design

2018 ◽  
Vol 12 (3) ◽  
pp. 359-367 ◽  
Author(s):  
Yassine Boukal ◽  
Mohamed Darouach ◽  
Michel Zasadzinski ◽  
Nour-Eddine Radhy
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Large Scale ◽  
Fractional Order Systems

Stability analysis of a class of nonlinear fractional-order systems under control input saturation

2018 ◽  
Vol 28 (7) ◽  
pp. 2887-2905 ◽  
Author(s):  
Esmat Sadat Alaviyan Shahri ◽  
Alireza Alfi ◽  
J.A. Tenreiro Machado
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Input Saturation ◽  
Control Input ◽  
Fractional Order Systems

GUI Toolbox for Approximation of Fractional Order Parameters With Application to Control of pH Neutralization Process

2019 ◽  
pp. 260-286
Author(s):  
Bingi Kishore ◽  
Rosdiazli Ibrahim ◽  
Mohd Noh Karsiti ◽  
Sabo Miya Hassan ◽  
Vivekananda Rajah Harindran
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Order Parameters ◽  
Fractional Order Systems ◽  
Approximation Techniques ◽  
Numerical Tools ◽  
Neutralization Process ◽  
Fractional Order Pid ◽  
Ph Neutralization ◽  
Ph Neutralization Process

Fractional-order systems have been applied in many engineering applications. A key issue with the application of such systems is the approximation of fractional-order parameters. The numerical tools for the approximation of fractional-order parameters gained attention recently. However, available toolboxes in the literature do not have a direct option to approximate higher order systems and need improvements with the graphical, numerical, and stability analysis. Therefore, this chapter proposes a MATLAB-based GUI for the approximation of fractional-order operators. The toolbox is made up of four widely used approximation techniques, namely, Oustaloup, refined Oustaloup, Matsuda, and curve fitting. The toolbox also allows numerical and stability analysis for evaluating the performance of approximated transfer function. To demonstrate the effectiveness of the developed GUI, a simulation study is conducted on fractional-order PID control of pH neutralization process. The results show that the toolbox can be effectively used to approximate and analyze the fractional-order systems.

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