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In this paper an offset-free model predictive control scheme is presented for fractional-order systems using the Gr\"unwald-Letnikov derivative. The infinite-history fractional-order system is approximated by a finite-dimensional…

Dynamical Systems · Mathematics 2019-04-26 Sotiris Ntouskas , Haralambos Sarimveis , Pantelis Sopasakis

In this paper the chaos control in the discrete logistic map of fractional order is obtained with an impulsive control algorithm. The underlying discrete initial value problem of fractional order is considered in terms of Caputo delta…

Chaotic Dynamics · Physics 2019-10-02 Marius-F. Danca , Michal Feckan , Nikolay Kuznetsov

The comparative study of Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) controllers applied to level and flow control in coupled tank systems is presented in this research work. The coupled tank system, characterized…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Divyam R. Kakani , Dineshkumar Subendran , Shivam J. Singh

The continuous and discrete time Linear Quadratic Regulator (LQR) theory has been used in this paper for the design of optimal analog and discrete PID controllers respectively. The PID controller gains are formulated as the optimal…

Optimization and Control · Mathematics 2013-01-18 Saptarshi Das , Indranil Pan , Kaushik Halder , Shantanu Das , Amitava Gupta

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Michael Ruderman

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

The stochastic nature of time delays and sampling intervals in Networked Control Systems poses significant challenges for controller synthesis and analysis, often leading to conservative designs and degraded performance. This work presents…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Matheus Wagner , Marcelo M. Morato , Antônio Augusto Fröhlich , Julio E. Normey-Rico

Conformal inference is a popular tool for constructing prediction intervals (PI). We consider here the scenario of post-selection/selective conformal inference, that is PIs are reported only for individuals selected from an unlabeled test…

Methodology · Statistics 2024-03-13 Yajie Bao , Yuyang Huo , Haojie Ren , Changliang Zou

We consider a conflict-controlled dynamical system described by a nonlinear ordinary fractional differential equation with the Caputo derivative of an order $\alpha \in (0, 1).$ Basing on the finite-difference Gr\"{u}nwald-Letnikov…

Optimization and Control · Mathematics 2019-02-26 Mikhail Gomoyunov

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 parallel numerical simulation algorithm is presented for fractional-order systems involving Caputo-type derivatives, based on the Adams-Bashforth-Moulton (ABM) predictor-corrector scheme. The parallel algorithm is implemented using…

Mathematical Software · Computer Science 2017-10-04 Cosmin Bonchis , Eva Kaslik , Florin Rosu

In this paper, we present an iterative Model Predictive Control (MPC) design for piecewise nonlinear systems. We consider finite time control tasks where the goal of the controller is to steer the system from a starting configuration to a…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Ugo Rosolia , Aaron D. Ames

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

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 paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Pratik Vernekar , Vitthal Bandal

This paper deals with feedback control of fractional-order Chua's system. The fractional-order Chua's system with total order less than three which exhibit chaos as well as other nonlinear behavior and theory for control of chaotic systems…

Chaotic Dynamics · Physics 2007-05-23 I. Petras

Reset controllers have demonstrated their effectiveness in enhancing performance in precision motion systems. To further exploiting the potential of reset controllers, this study introduces a parallel-partial reset control structure.…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Xinxin Zhang , S. Hassan HosseinNia

A single-step high-order implicit time integration scheme with controllable numerical dissipation at high frequencies is presented for the transient analysis of structural dynamic problems. The amount of numerical dissipation is controlled…

Numerical Analysis · Mathematics 2023-09-29 Chongmin Song , Xiaoran Zhang , Sascha Eisenträger , Ankit Ankit

Discrete fractional order chaotic systems extends the memory capability to capture the discrete nature of physical systems. In this research, the memristive discrete fractional order chaotic system is introduced. The dynamics of the system…

Chaotic Dynamics · Physics 2019-03-21 Samuel T. Ogunjo , Ibiyinka A. Fuwape

Data-driven predictive control based on the fundamental lemma by Willems et al. is frequently considered for deterministic LTI systems subject to measurement noise. However, little has been done on data-driven stochastic control. In this…

Systems and Control · Electrical Eng. & Systems 2023-08-04 Guanru Pan , Ruchuan Ou , Timm Faulwasser
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