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This paper deals with designing a robust fixed-order dynamic output feedback controller for uncertain fractional order linear time invariant (FO-LTI) systems by means of linear matrix inequalities (LMIs). Our purpose is to design a low…

Optimization and Control · Mathematics 2018-02-22 Pouya Badri , Mahdi Sojoodi

In this paper, a nonlinear rotational inverted pendulum with time-varying parameters is controlled using the indirect adaptive fuzzy controller design. This type of controller is chosen because this particular system performance is highly…

Signal Processing · Electrical Eng. & Systems 2018-06-06 R. Eini , S. Abdelwahed

Integer-order calculus often falls short in capturing the long-range dependencies and memory effects found in many real-world processes. Fractional calculus addresses these gaps via fractional-order integrals and derivatives, but…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Xiaole Zhang , Peiyu Zhang , Xiongye Xiao , Shixuan Li , Vasileios Tzoumas , Vijay Gupta , Paul Bogdan

The main goal of this article is to show a new method to solve some Fractional Order Integral Equations (FOIE), more precisely the ones which are linear, have constant coefficients and all the integration orders involved are rational. The…

Classical Analysis and ODEs · Mathematics 2018-02-09 Daniel Cao Labora , Rosana Rodríguez-López

The paper explains iterative and non-iterative approaches to control optimization with use of the Fourier series-based method. Both variants of the presented algorithm are used to numerically approximate optimal control of a discontinuous…

Optimization and Control · Mathematics 2024-10-10 Sandra Zarychta , Marek Balcerzak , Jerzy Wojewoda

Closed-loop performance of sequential decision making algorithms, such as model predictive control, depends strongly on the choice of controller parameters. Bayesian optimization allows learning of parameters from closed-loop experiments,…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Sebastian Hirt , Lukas Theiner , Rolf Findeisen

We consider low-order controller design for large-scale linear time-invariant dynamical systems with inputs and outputs. Model order reduction is a popular technique, but controllers designed for reduced-order models may result in unstable…

Optimization and Control · Mathematics 2018-03-20 Peter Benner , Tim Mitchell , Michael L. Overton

An optimal trade-off design for fractional order (FO)-PID controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain control objectives. The deviation of the state…

Optimization and Control · Mathematics 2016-12-01 Saptarshi Das , Indranil Pan , Shantanu Das

Designing a robust controller for Modular Multilevel Converters (MMCs) is crucial to ensure stability and optimal dynamic performance under various operating conditions, including faulty and disturbed scenarios. The primary objective of…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Mohammad Ali Labbaf-Khaniki , Mohammad Manthouri , Amin Hajizadeh

We develop a rapid and accurate contour method for the solution of time-fractional PDEs. The method inverts the Laplace transform via an optimised stable quadrature rule, suitable for infinite-dimensional operators, whose error decreases…

Numerical Analysis · Mathematics 2022-02-09 Matthew J. Colbrook , Lorna J. Ayton

This paper proposes a new fraction-order active disturbance rejection controller based on an improved fraction-order extended state observer (IFESO) for a class of fraction-order systems. Applying the IFESO, the fraction-order system can be…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Bolin Li , Lijun Zhu

The commissioning of industrial electric drives still relies heavily on manual tuning of cascaded control loops, requiring expert knowledge and significant time. In this paper, we propose a fully automated approach for tuning the current…

Systems and Control · Electrical Eng. & Systems 2026-05-28 David Petrovic , Gian Antonio Susto , Angelo Cenedese

Phase curve of an open loop system is flat in nature if the derivative of phase with respect to frequency is zero. With a flat phase curve, the corresponding closed-loop system exhibits an iso-damped property i.e. maintains constant…

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

This article presents the guided Bayesian optimization algorithm as an efficient data-driven method for iteratively tuning closed-loop controller parameters using an event-triggered digital twin of the system based on available closed-loop…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Mahdi Nobar , Jürg Keller , Alisa Rupenyan , Mohammad Khosravi , John Lygeros

A fractional-order (FO) based controller for a grid-connected PV system is presented in this paper. A single phase two-stage grid-connected photovoltaic generator (PVG) is used to test the performance of the FO controller. The main…

Systems and Control · Electrical Eng. & Systems 2020-04-30 Shah Fahad , Nasim Ullah , Ali Jafer Mahdi , Asier Ibeas , Arman Goudarzi

We investigate the application of a posteriori error estimates to a fractional optimal control problem with pointwise control constraints. Specifically, we address a problem in which the state equation is formulated as an integral form of…

Optimization and Control · Mathematics 2023-10-10 Fangyuan Wang , Qiming Wang , Zhaojie Zhou

Fractional order proportional-integral-derivative (FOPID) controllers are designed for load frequency control (LFC) of two interconnected power systems. Conflicting time domain design objectives are considered in a multi objective…

Optimization and Control · Mathematics 2016-12-01 Indranil Pan , Saptarshi Das

This paper proposes a spectral-based tuning method for proportional-integral (PI) controllers in integrating-plus-dead-time (IPDT) systems. The design objective is to achieve unified exponential decay for both reference tracking and…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Dhamdhawach Horsuwan

We present a finite-time framework for identifying stable and unstable linear time-invariant (LTI) systems from a single closed-loop input-output trajectory. The method does not require knowledge of the stabilizing controller, an…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Ahmad Al-Tawaha , Ming Jin , Khaled F. Aljanaideh

Resonant controllers are widely used in applications involving reference tracking and disturbance rejection of periodic signals. The controller design is typically performed by a trial-and-error approach or by means of time and…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Charles Lorenzini , Luís Fernando Alves Pereira , Alexandre Sanfelice Bazanella , Gustavo R. Gonçalves da Silva