Stability and performance analysis for positive fractional-order systems with time-varying delays

J Shen, J Lam - IEEE Transactions on Automatic Control, 2015 - ieeexplore.ieee.org
This paper addresses the stability and L∞-gain analysis problem for continuous-time
positive fractional-order delay systems with incommensurate orders between zero and one …

[HTML][HTML] Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach

C Yin, S Dadras, S Zhong, YQ Chen - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, an adaptive sliding mode controller for a novel class of fractional-order chaotic
systems with uncertainty and external disturbance is proposed to realize chaos control. The …

Robust stability analysis of smith predictor based interval fractional-order control systems: A case study in level control process

M Ghorbani, M Tavakoli-Kakhki… - IEEE/CAA Journal of …, 2022 - ieeexplore.ieee.org
The robust stability study of the classic Smith predictor-based control system for uncertain
fractional-order plants with interval time delays and interval coefficients is the emphasis of …

Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: modeling and hardware implementation

AG Butkovskii, SS Postnov, EA Postnova - Automation and Remote Control, 2013 - Springer
The review was devoted to describing the dynamics of various systems and control
processes in terms of the fractional integro-differential calculus. Consideration was given to …

Robust stabilization criterion of fractional-order controllers for interval fractional-order plants

Z Gao - Automatica, 2015 - Elsevier
The robust stabilization criterion of fractional-order controllers for interval fractional-order
plants is proposed in this study. For the interval uncertainties existing in the numerator and …

[HTML][HTML] An approximation method and PID controller tuning for systems having integer order and non-integer order delay

MM Ozyetkin - Alexandria Engineering Journal, 2022 - Elsevier
In this study, an algebraic approximation method is proposed to investigate the stability
analysis and time domain response of non-integer order delay systems. Besides, stabilizing …

Robust stability analysis of interval fractional-order plants with interval time delay and general form of fractional-order controllers

M Ghorbani, M Tavakoli-Kakhki… - IEEE Control …, 2021 - ieeexplore.ieee.org
This letter aims to investigate the robust stability of an interval fractional-order plant with an
interval time delay by a general form of fractional-order controllers. Based on a simple …

Robust stability of fractional order system with general interval uncertainties

S Zheng - Systems & Control Letters, 2017 - Elsevier
This paper focuses on the analysis of robust stability of fractional order system with general
interval uncertainties. The concept of general interval uncertainties means that the interval …

Robust stability testing function and Kharitonov-like theorem for fractional order interval systems

KA Moornani, M Haeri - IET control theory & applications, 2010 - IET
This study deals with the subject of robust bounded-input bounded-output (BIBO)-stability of
a family of fractional order interval systems. Employing the idea of 'robust stability testing …

Robust stabilization criteria of a general form of fractional-order controllers for interval fractional-order plants with complex uncertain parameters

M Ghorbani - ISA transactions, 2022 - Elsevier
This paper studies the problem of robust stabilization of interval fractional-order plants with
complex uncertain parameters by using fractional-order controllers. An interval fractional …