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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…

信号处理 · 电气工程与系统科学 2026-03-26 Emmanuel A. Gonzalez

A parameter space procedure for designing chosen parameters of a repetitive controller to satisfy a robust performance criterion is presented. Using this method, low order robust repetitive controllers can be designed and implemented for…

系统与控制 · 计算机科学 2014-12-02 Burak Demirel , Levent Guvenc

The main purpose of this paper is to study the fractional-order model with Caputo derivative associated to Lagrange system. For this fractional-order system we investigate the existence and uniqueness of solutions of initial value problem,…

动力系统 · 数学 2022-11-22 Mihai Ivan

The multidimensional ($n$-D) systems described by Roesser model are presented in this paper. These $n$-D systems consist of discrete systems and continuous fractional order systems with fractional order $\nu$, $0<\nu<1$. The stability and…

最优化与控制 · 数学 2017-04-28 Xiaogang Zhu , Junguo Lu

A novel toolbox named FLOreS is presented for intuitive design of fractional order controllers (FOC) using industry standard loop shaping technique. This will allow control engineers to use frequency response data (FRD) of the plant to…

系统与控制 · 计算机科学 2018-07-02 Lennart van Duist , Gijs van der Gugten , Daan Toten , Niranjan Saikumar , Hassan HosseinNia

We present a method to control transport in Hamiltonian systems. We provide an algorithm - based on a perturbation of the original Hamiltonian localized in phase space - to design small control terms that are able to create isolated…

混沌动力学 · 物理学 2007-05-23 Guido Ciraolo , Cristel Chandre , Ricardo Lima , Michel Vittot , Marco Pettini , Philippe Ghendrih

An approach to stabilization of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers.…

最优化与控制 · 数学 2009-01-20 Viktor Ten

This paper proposes an simple but yet effective approach to structured parametric controller design in a linear fractional form. The main contribution consists in using structured $\mathcal{H}_\infty$ oriented optimization tools in an…

系统与控制 · 计算机科学 2017-04-12 C. Poussot-Vassal

This paper investigates the controllability of finite-dimensional linear fractional systems involving an uncertain parameter. We establish new results on the simultaneous and average controllability. In particular, we show that average…

最优化与控制 · 数学 2025-08-05 Idriss Boutaayamou , Fouad Et-Tahri , Lahcen Maniar

In this paper, we propose a method to design state feedback harmonic control laws that assign the closed loop poles of a linear harmonic model to some desired locations. The procedure is based on the solution of an infinite-dimensional…

系统与控制 · 电气工程与系统科学 2022-03-21 Pierre Riedinger , Jamal Daafouz

The magnetic levitation system (Maglev) is a nonlinear system by which an object is suspended with no support other than magnetic fields. The main control perspective of the Maglev system is to levitate a steel ball in air by the…

系统与控制 · 电气工程与系统科学 2026-02-12 Dorukhan Astekin , Fatih Adıgüzel

This manuscript is concerned with the approximate controllability of fractional nonlinear differential equations with nonlocal conditions of order $1<q<2$ in Banach spaces. As far as we know, few articles have investigated this issue. The…

最优化与控制 · 数学 2024-11-19 Ahmed Aberqi , Zoubida Echchaffani , Touria Karite

In this paper, an adaptive fractional controller has been designed to control chaotic systems. In fact, this controller is a fractional PID controller, which the coefficients will be tuned according to a proper adaptation mechanism. The…

混沌动力学 · 物理学 2012-06-13 S. H. Hosseinnia , R. Ghaderi , A. Ranjbar N. , J. Sadati , S. Momani

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…

混沌动力学 · 物理学 2013-09-05 Yong Xu , Hua Wang

Controlling complex dynamical systems has been a topic of considerable interest in academic circles in recent decades. While existing works have primarily focused on closed-loop control schemes with infinite-time durations, this paper…

最优化与控制 · 数学 2025-01-08 Xiaoxiao Peng , Shijie Zhou

In this article, we study the linear time-invariant state-feedback controller design problem for distributed systems. We follow the recently developed system level synthesis (SLS) approach and impose locality structure on the resulting…

系统与控制 · 电气工程与系统科学 2022-01-11 Emily Jensen , Bassam Bamieh

Highly non-linear vehicle dynamics plays an important role in autonomous driving systems, especially in congested traffic situations at very low speeds. Due to this fact, accurate controllers are needed in order to ensure safety during…

适应与自组织系统 · 物理学 2012-06-05 S. Hassan HosseinNia , Ines Tejado , Blas M. Vinagre , Vicente Milanes , Jorge Villagra

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

Fractional-order dynamical systems were recently introduced in the field of pharmacokinetics where they proved powerful tools for modeling the absorption, disposition, distribution and excretion of drugs which are liable to anomalous…

This article deals with the implementation of the Smith Predictor for state feedback control in state space representation. The desired control law, obtained using partial differential equations and backstepping control, contains an…

系统与控制 · 电气工程与系统科学 2025-12-03 Jesus-Pablo Toledo-Zucco , Frédéric Gouaisbaut , Gaetan Chapput