Impedance-Based Stability Analysis and Design of a Fractional-Order Active Damper for Grid-Connected Current-Source Inverters

2021 ◽  
Vol 12 (1) ◽  
pp. 599-611
Author(s):  
M. Ali Azghandi ◽  
S. Masoud Barakati ◽  
Amirnaser Yazdani
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Current Source ◽  
Analysis And Design ◽  
Current Source Inverters ◽  
Active Damper

Analysis and Design of a Control Strategy for Tracking Sinusoidal References in Single-Phase Grid-Connected Current-Source Inverters

2018 ◽  
Vol 33 (1) ◽  
pp. 819-832 ◽  
Author(s):  
Carlos R. Baier ◽  
Miguel A. Torres ◽  
Pablo Acuna ◽  
Javier A. Munoz ◽  
Pedro E. Melin ◽  
...  
Keyword(s):  
Control Strategy ◽  
Single Phase ◽  
Current Source ◽  
Analysis And Design ◽  
Current Source Inverters

Non-smooth convex Lyapunov functions for stability analysis of fractional-order systems

2018 ◽  
Vol 41 (6) ◽  
pp. 1627-1639 ◽  
Author(s):  
Aldo-Jonathan Muñoz-Vázquez ◽  
Vicente Parra-Vega ◽  
Anand Sánchez-Orta
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Lyapunov Functions ◽  
Sliding Mode ◽  
Unit Vector ◽  
Sliding Mode Controller ◽  
Fractional Order Systems ◽  
Analysis And Design ◽  
Bounded Disturbances ◽  
The Stability

Based on proximal subdifferentials and subgradients, and instrumented with an extended Caputo differintegral operator, the stability analysis of a general class of fractional-order nonlinear systems is considered by means of non-smooth but convex Lyapunov functions. This facilitates concluding the Mittag–Leffler stability for fractional-order systems whose solutions are not necessarily differentiable in any integer-order sense. As a solution to the problem of robust command of fractional-order systems subject to unknown but Lebesgue-measurable and bounded disturbances, a unit-vector-like integral sliding mode controller is proposed. Numerical simulations are conducted to highlight the reliability of the proposed method in the analysis and design of fractional-order systems closed by non-smooth robust controllers.

Robust Stability Analysis of Interval Fractional-Order Plants with Interval Time delay and General Form of Fractional-Order Controllers

2021 ◽  
pp. 1-1
Author(s):  
Majid Ghorbani ◽  
Mahsan Tavakoli-Kakhki ◽  
Aleksei Tepljakov ◽  
Eduard Petlenkov ◽  
Arash Farnam ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Fractional Order ◽  
Robust Stability ◽  
Interval Time ◽  
Robust Stability Analysis

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
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