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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…

Chaotic Dynamics · Physics 2012-06-13 S. H. Hosseinnia , R. Ghaderi , A. Ranjbar N. , J. Sadati , S. Momani

In this paper the following three control systems for first-order time-delay plants are studied and compared: the feedback proportional-integral controller (PI), the Smith Predictor (SP) and a proposed variable structure consisting of two…

Optimization and Control · Mathematics 2007-05-24 Gianpasquale Martelli

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

This paper addresses the numerical optimization of proportional-integral-derivative (PID) controllers for linear time-invariant systems with delays, where the derivative action is implemented using a low-pass filter. While performance…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Diego Torres-García , Wim Michiels

Current model-free adaptive control (MFAC) can hardly deal with the time delay problem in multiple-input multiple-output (MIMO) systems. To solve this problem, a novel model-free adaptive predictive control (MFAPC) method is proposed.…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Feilong Zhang

System identification refers to estimation of process parameters and is a necessity in control theory. Physical systems usually have varying parameters. For such processes, accurate identification is particularly important. Online…

Other Computer Science · Computer Science 2008-11-04 Deepyaman Maiti , Ayan Acharya , Amit Konar

This contribution deals with identification of fractional-order dynamical systems. System identification, which refers to estimation of process parameters, is a necessity in control theory. Real processes are usually of fractional order as…

Other Computer Science · Computer Science 2016-11-15 Deepyaman Maiti , Mithun Chakraborty , Amit Konar

This study investigates the use of fractional order differential models to simulate the dynamic response of non-homogeneous discrete systems and to achieve efficient and accurate model order reduction. The traditional integer order approach…

Numerical Analysis · Mathematics 2016-12-22 John P. Hollkamp , Mihir Sen , Fabio Semperlotti

This thesis presents fuzzy-L1 adaptive controller and Model Reference Adaptive Control (MRAC) with Prescribed Performance Function (PPF) as two adaptive approaches for high nonlinear systems as two original contribution to the literature.…

Optimization and Control · Mathematics 2018-07-16 Hashim Abdellah Hashim Mohamed

System identification is a necessity in control theory. Classical control theory usually considers processes with integer order transfer functions. Real processes are usually of fractional order as opposed to the ideal integral order…

Other Computer Science · Computer Science 2008-11-04 Deepyaman Maiti , Amit Konar

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

Optimization and Control · Mathematics 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

This paper presents an improved active disturbance rejection control scheme (IFO-ADRC) with an improved fractional-order extended state observer (IFO-ESO). The structural information of the system is utilized in IFO-ESO rather than buried…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Bolin Li , Lijun Zhu

A Caputo fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) was recently proposed in [Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9]. Here, a sensitivity analysis of that model is done, showing the…

Optimization and Control · Mathematics 2019-08-12 Silverio Rosa , Delfim F. M. Torres

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…

Systems and Control · Computer Science 2017-04-12 C. Poussot-Vassal

Phase shaping using fractional order (FO) phase shapers has been proposed by many contemporary researchers as a means of producing systems with iso-damped closed loop response due to a stepped variation in input. Such systems, with the…

Optimization and Control · Mathematics 2012-02-28 Suman Saha , Saptarshi Das , Ratna Ghosh , Bhaswati Goswami , R. Balasubramanian , A. K. Chandra , Shantanu Das , Amitava Gupta

A resonance and an antiresonance peak characterize many industrial mechanisms dynamics driven by a Permanent Magnet Synchronous Motor (PMSM). The presence of the resonance peak can lead to vibrations and instability of the system. On that…

Systems and Control · Electrical Eng. & Systems 2022-02-18 Santiago Ramos Garces , Abdelmajid Ben Yahya , Nick van Oosterwyck , Dries Jacques , Stijn Derammelaere

We exploit an adaptive control technique, namely funnel control, in order to establish both initial and recursive feasibility in Model Predictive Control (MPC) for output-constrained nonlinear systems. Moreover, we show that the resulting…

Optimization and Control · Mathematics 2019-12-05 Thomas Berger , Carolin Kästner , Karl Worthmann

This letter proposes a fractional-order battery model based on the Caputo definition. A closed-form time-domain solution is derived, enabling a simple recursive expression for discrete-time implementation. The model requires only the…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Yangyang Xu , Hongyu Zhao , Chengzhong Zhang , Chenglin Liao

In this brief, a model-free adaptive predictive control (MFAPC) is proposed. It outperforms the current model-free adaptive control (MFAC) for not only solving the time delay problem in multiple-input multiple-output (MIMO) systems but also…

Systems and Control · Electrical Eng. & Systems 2023-11-17 Feilong Zhang

This paper introduces a novel fractional-order chemostat model (FOCM) incorporating Caputo fractional derivative with sliding memory (CFDS) to capture microbial memory effects in biological water treatment, addressing limitations of…

Optimization and Control · Mathematics 2025-11-25 Kareem T. Elgindy , Muneerah Al Nuwairan , Liew Siaw Ching