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Motivated by biochemical reaction networks, a generalization of the classical secant condition for the stability analysis of cyclic interconnected commensurate fractional-order systems is provided. The main result presents a sufficient…

Dynamical Systems · Mathematics 2020-11-10 Milad Siami

This paper presents comprehensive studies on frequency response optimized integrators considering second order derivative regarding their numerical error, numerical stability and transient performance. Frequency domain error analysis is…

Numerical Analysis · Mathematics 2021-01-12 Sheng Lei , Alexander Flueck

This paper investigates the frequency control of multi-machine power systems subject to uncertain and dynamic net loads. We propose distributed internal model controllers that coordinate synchronous generators and demand response to tackle…

Systems and Control · Computer Science 2020-01-10 Hunmin Kim , Minghui Zhu , Jianming Lian

This paper discusses nonlinear proportional-integral (PI) current control with anti-windup of reluctance synchronous machines (RSMs) for which the flux linkage maps are known. The nonlinear controller design is based on the tuning rule…

Systems and Control · Computer Science 2016-03-09 C. M. Hackl , M. J. Kamper , J. Kullick , J. Mitchell

We study the optimal control of multiple-input and multiple-output dynamical systems via the design of neural network-based controllers with stability and output tracking guarantees. While neural network-based nonlinear controllers have…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

In this paper, fractional order Coullet system is studied. An active control technique is applied to control this chaotic system. This type of controller is also applied to synchronize chaotic fractional-order systems in master-slave…

Chaotic Dynamics · Physics 2012-06-13 M. Shahiri T. , A. Ranjbar N. , R. Ghaderi , S. H. Hosseinnia , S. Momani

Nowadays, the demand for an alternative to linear PID controllers has increased because of the rising expectations of the high-precision industry. The potential of reset controllers to solve this important challenge has been extensively…

Systems and Control · Electrical Eng. & Systems 2021-02-03 Ali Ahmadi Dastjerdi , Alessandro Astolfi , S. Hassan HosseinNia

This paper proposes a reinforcement learning-based approach for optimal transient frequency control in power systems with stability and safety guarantees. Building on Lyapunov stability theory and safety-critical control, we derive…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Zhenyi Yuan , Changhong Zhao , Jorge Cortes

This paper is concerned with the stabilization problem of singular fractional order systems with order $\alpha\in(0,2)$. In addition to the sufficient and necessary condition for observer based control, a sufficient and necessary condition…

Dynamical Systems · Mathematics 2020-03-30 Yiheng Wei , Jiachang Wang , Tianyu Liu , Yong Wang

This paper deals with the exponential stability of systems made of a hyperbolic PDE coupled with an ODE with different time scales, the dynamics of the PDE being much faster than that of the ODE. Such a difference of time scales is modeled…

Analysis of PDEs · Mathematics 2024-03-12 Gonzalo Arias , Swann Marx , Guilherme Mazanti

A precise estimation of the Rate of Change of Frequency (RoCoF) is crucial for secure power system operation. In fact, RoCoF is strictly related to the amount of the available physical and/or virtual inertia of the system and the severity…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Gutierrez-Florensa , F. Sanniti , D. Tedeschi , L. Sigrist , A. Ortega , F. Milano

This paper presents a set of robust PI tuning formulae for a first order plus dead time process using particle swarm optimization. Also, tuning formulae for an integrating process with dead time, which is a special case of a first order…

Computational Engineering, Finance, and Science · Computer Science 2010-06-15 Saeed Tavakoli , Amir Banookh

The aim of this paper is to present the application of an approach to study contraction theory recently developed for piecewise smooth and switched systems. The approach that can be used to analyze incremental stability properties of…

Systems and Control · Computer Science 2020-03-18 Davide Fiore , Marco Coraggio , Mario di Bernardo

The design of robust orbitally stabilizing feedback is considered. From a known orbitally stabilizing controller for a nominal, disturbance-free system, a robustifying feedback extension is designed utilizing the sliding-mode control (SMC)…

Systems and Control · Electrical Eng. & Systems 2021-09-02 Christian Fredrik Sætre , Anton S. Shiriaev , Leonid B. Freidovich , Sergei V. Gusev , Leonid M. Fridman

Robust stabilization conditions for uncertain switched affine systems subject to a unitary input delay are presented. They are obtained through the Lyapunov framework and a min-switching state-feedback predictive control law. The result…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Gerson Portilla , Carolina Albea , Alexandre Seuret

In this paper, an attempt is made to understand the dynamics of a fractional order three species Leslie-Gower predator prey food chain model with simplified Holling type IV functional response by considering fractional derivative in Caputo…

Dynamical Systems · Mathematics 2024-01-30 Shuvojit Mondal , Nandadulal Bairagi

This paper discusses and summarizes some results on complex variables that are very useful in fractional-order systems analysis and design, specifically when the system is analyzed in the frequency domain. The author hopes that this…

Signal Processing · Electrical Eng. & Systems 2026-03-26 Emmanuel A. Gonzalez

This article presents an adaptive nonlinear delayed feedback control scheme for stabilizing the unstable periodic orbit of unknown fractional-order chaotic systems. The proposed control framework uses the Lyapunov approach and sliding mode…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Bahram Yaghooti , Kaveh Safavigerdini , Reza Hajiloo , Hassan Salarieh

Today, linear PID controllers cannot satisfy requirements of high-precision industry due to the development of technology. According to the literature, reset controllers can overcome this important barrier. However, similar to other…

Systems and Control · Electrical Eng. & Systems 2021-08-26 Ali Ahmadi Dastjerdi , Alessandro Astolfi , S. H. HosseinNia

A Fractional adaptive PID (FPID) controller for a robot manipulator will be proposed. The PID parameters have been optimized by Genetic algorithm. The proposed controller is found robust by means of simulation in a tracking job. The…

Adaptation and Self-Organizing Systems · Physics 2012-06-12 H. Delavari , R. Ghaderi , N. A. Ranjbar , S. H. HosseinNia , S. Momani
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