Towards industrialization of FOPID controllers: A survey on milestones of fractional-order control and pathways for future developments
The interest in fractional-order (FO) control can be traced back to the late nineteenth century.
The growing tendency towards using fractional-order proportional-integral-derivative …
The growing tendency towards using fractional-order proportional-integral-derivative …
[HTML][HTML] Disturbance rejection FOPID controller design in v-domain
Due to the adverse effects of unpredictable environmental disturbances on real control
systems, robustness of control performance becomes a substantial asset for control system …
systems, robustness of control performance becomes a substantial asset for control system …
Stabilization of fractional-order singular uncertain systems
Y Ji, J Qiu - ISA transactions, 2015 - Elsevier
This paper focuses on the state and static output feedback stabilization for fractional-order
singular (FOS) uncertain linear systems with the fractional commensurate order 0< α< 1 …
singular (FOS) uncertain linear systems with the fractional commensurate order 0< α< 1 …
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 …
interval uncertainties. The concept of general interval uncertainties means that the interval …
A stability test for non-commensurate fractional order systems
This paper presents a necessary and sufficient condition to evaluate non-commensurate
fractional order systems Bounded Input, Bounded Output stability. This condition is based on …
fractional order systems Bounded Input, Bounded Output stability. This condition is based on …
New results on stability and stabilization of delayed caputo fractional order systems with convex polytopic uncertainties
In this paper, the problems of robust stability and stabilization, for the first time, are studied
for delayed fractional-order linear systems with convex polytopic uncertainties. The authors …
for delayed fractional-order linear systems with convex polytopic uncertainties. The authors …
Active sliding observer scheme based fractional chaos synchronization
DM Senejohnny, H Delavari - Communications in Nonlinear Science and …, 2012 - Elsevier
In this paper, a novel observer scheme is proposed for synchronization of fractional order
chaotic systems. Our approach employs a combination of a classical sliding observer and an …
chaotic systems. Our approach employs a combination of a classical sliding observer and an …
Robust stability and stabilization of fractional order linear systems with positive real uncertainty
Y Ma, J Lu, W Chen - ISA transactions, 2014 - Elsevier
This paper investigates the robust stability and stabilization of fractional order linear systems
with positive real uncertainty. Firstly, sufficient conditions for the asymptotical stability of such …
with positive real uncertainty. Firstly, sufficient conditions for the asymptotical stability of such …
A comparative study of integer order PID, fractionalized order PID and fractional order PID controllers on a class of stable system
Due to their well-known qualities, including simplicity and ease of use, integer order
proportional integral derivative (IOPID) controllers are used in the majority of industrial …
proportional integral derivative (IOPID) controllers are used in the majority of industrial …
A new guardian map and boundary theorems applied to the stabilization of initialized fractional control systems
JA López‐Rentería… - … Methods in the …, 2022 - Wiley Online Library
In the present work, some generalizations of the boundary crossing theorem and the zero
exclusion principle are given for fractional order initialized systems. A new guardian map for …
exclusion principle are given for fractional order initialized systems. A new guardian map for …