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Distributed optimization is fundamental to modern machine learning applications like federated learning, but existing methods often struggle with ill-conditioned problems and face stability-versus-speed tradeoffs. We introduce fractional…

Machine Learning · Computer Science 2024-12-04 Andrei Lixandru , Marcel van Gerven , Sergio Pequito

This paper is concerned with the robust design for a class of switching systems from a fractional order control (FOC) perspective. In particular, the tuning of the robust fractional order PI (RFPI) controller is proposed based on phase…

Adaptation and Self-Organizing Systems · Physics 2012-05-29 S. Hassan HosseinNia , Ines Tejado , Blas M. Vinagre

This paper investigates the use of fractional order (FO) controllers for a microgrid. The microgrid employs various autonomous generation systems like wind turbine generator (WTG), solar photovoltaic (PV), diesel energy generator (DEG) and…

Systems and Control · Computer Science 2014-08-21 Indranil Pan , Saptarshi Das

The applicability of fractional order (FO) automatic generation control (AGC) for power system frequency oscillation damping is investigated in this paper, employing distributed energy generation. The hybrid power system employs various…

Systems and Control · Computer Science 2016-11-30 Indranil Pan , Saptarshi Das

To handle the control difficulties caused by high-order dynamics, a control structure based on fractional order [proportional integral] (PI) controller and fractional order Smith-like predictor for a class of high order systems in the type…

Systems and Control · Computer Science 2019-04-18 Zhenlong Wu , Jie Yuan , Yuquan Chen , Donghai Li , YangQuan Chen

Particle swarm optimization (PSO) is extensively used for real parameter optimization in diverse fields of study. This paper describes an application of PSO to the problem of designing a fractional-order proportional-integral-derivative…

Other Computer Science · Computer Science 2008-11-04 Deepyaman Maiti , Ayan Acharya , Mithun Chakraborty , Amit Konar , Ramadoss Janarthanan

This paper presents the design and robustness analysis of fractional and integer order PID controllers for the control of a non-linear industrial process in the presence of parametric uncertainness and external disturbances. The nonlinear…

Systems and Control · Computer Science 2018-10-31 J. Viola , L. Angel

This study introduces a Fractional Order Fuzzy PID (FOFPID) controller that uses the Whale Optimization Algorithm (WOA) to manage the Bispectral Index (BIS), keeping it within the ideal range of forty to sixty. The FOFPID controller…

Artificial Intelligence · Computer Science 2025-08-19 Lida Shahbandari , Hossein Mohseni

One of the most important surgical factors is Depth of Anesthesia (DOA) control in patients. The main problem is to overcome the uncertainty and nonlinearity of the system, due to different physiological parameters of the patient's body and…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Amin Behboudifar , Chen Jing

The fractional order system, which is described by the fractional order derivative and integral, has been studied in many engineering areas. Recently, the concept of fractional order has been generalized to the distributed order concept,…

Systems and Control · Computer Science 2013-12-12 Pham Luu Trung Duong , Moonyong Lee

The issues of stochastically varying network delays and packet dropouts in Networked Control System (NCS) applications have been simultaneously addressed by time domain optimal tuning of fractional order (FO) PID controllers. Different…

Systems and Control · Computer Science 2012-02-28 Indranil Pan , Saptarshi Das , Amitava Gupta

We consider the robust control of a two-mass oscillator with a dominant input delay. Our aim is to compare a fractional-order tuning approach including the partial compensation of non-minimum phase zeros with a classical H-infinity…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Benjamin Voß , Michael Ruderman , Christoph Weise , Johann Reger

In [1], we inaugurated a new area of optimal control (OC) theory that we called "periodic fractional OC theory," which was developed to find optimal ways to periodically control a fractional dynamic system. The typical mathematical…

Optimization and Control · Mathematics 2023-05-02 Kareem T. Elgindy

Gain and order scheduling of fractional order (FO) PI{\lambda}D{\mu} controllers are studied in this paper considering four different classes of higher order processes. The mapping between the optimum PID/FOPID controller parameters and the…

Systems and Control · Computer Science 2012-02-28 Saptarshi Das , Sayan Saha , Ayan Mukherjee , Indranil Pan , Amitava Gupta

Interval type-II Fuzzy Inference System (FIS) assumes a crucial role in determining the coefficients of the PID controller, thereby augmenting the controller's flexibility. Controlling chaotic systems presents inherent challenges and…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Farnaz Rezay Morsagh , Mehdi Siahi , Soudabeh Soleymani

High penetration of renewable energy sources intensifies frequency fluctuations in multi-area power systems, challenging both stability and operational safety. This paper proposes a novel distributed frequency control method that ensures…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Xiemin Mo , Tao Liu

This paper presents a novel First Order Plus Fractional Diffusive Delay (FOPFDD) model, capable of modeling delay dominant systems with high accuracy. The novelty of the FOPFDD is the Fractional Diffusive Delay (FDD) term, an exponential…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Jasper Juchem , Amélie Chevalier , Kevin Dekemele , Mia Loccufier

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown…

Chaotic Dynamics · Physics 2009-11-11 Chunguang Li

This paper is devoted to the problem of synchronization between fractional-order chaotic systems with Gaussian fluctuation by the method of fractional-order sliding mode control. A fractional integral (FI) sliding surface is proposed for…

Chaotic Dynamics · Physics 2013-09-05 Yong Xu , Hua Wang

In this paper, a framework for the combination of robust fractional order CRONE control with non-linear reset is given for both first and second generation CRONE control. General design rules are derived and presented for these CRONE reset…

Systems and Control · Computer Science 2019-10-02 Linda Chen , Niranjan Saikumar , S. Hassan HosseinNia