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model reference adaptive control of the nonlinear fractional order - stochastic model of the corona virus

CHAOS SOLITONS & FRACTALS 2025年 194卷

作者： Ranjbar, Abedin Madady, Ali Ramezani, Mehdi Khosravi, Alireza Tafresh Univ Dept Elect Engn Tafresh Iran Tafresh Univ Dept Math Tafresh Iran Babol Noshirvani Univ Technol Dept Elect & Comp Engn Babol Iran

In this paper, the model reference adaptive control (MRAC) method along with a state feedback controller is employed for synchronizing NFSCV, a complex nonlinear fractional-order stochastic model of the coronavirus. MRAC is a methodology that combines both linear feedback controllers and adaptive law techniques for designing a simple but robust adaptive feedback system. We have added a stochastic noise term to the coronavirus model representing sudden mutations and external disturbances. Also, we will implement the realization of fractional-order differential equations, and it gives us a real representation of the virus. In this paper, we address the question of when the controlled model 'infective or slave system' states can be observed and tuned to the master or reference model 'healthy and vaccination' states for our objective functions attempting a minimization between tracking errors of the states of master and slave systems, variance, and squared error integrals. In this paper, we further show that the system is asymptotically stable using the stochastic analysis along with Lyapunov theory. Through these simulations, we are able to see that by using our control algorithm, the infected individuals can be driven to follow a trajectory close to the one followed by the vaccinated individuals.

关键词： Stochastic differential equations Fractional-order systems Feedback control Coronavirus model model reference adaptive control

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model reference adaptive control for state and input constrained linear systems

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EUROPEAN JOURNAL OF control 2025年 82卷

作者： Chattopadhyay, Sudipta Sukumar, Srikant Natarajan, Vivek Indian Inst Technol Syst & Control Engn Grp Mumbai 400076 India

State and input constraints are ubiquitous in all engineering systems and developing adaptive controllers for uncertain linear systems under pre-specified state and input constraints is a problem of fundamental interest. For uncertain linear systems, a computationally inexpensive control method is the model reference adaptive control (MRAC). Although MRAC controllers come with strong stability guarantees they do not guarantee system operation within the pre-defined state and input constraints. Several modifications of the MRAC framework have been proposed to address input constraints in uncertain linear systems. Considering the infeasibility of arbitrary reference trajectories, reference modification has been implemented in the case of input constraints in the literature. The resulting conditions on the reference and input signals are difficult to verify online. Similar results on state and input constraints together have also been proposed, albeit resulting in more complex and unverifiable conditions on the control. In this paper, we have developed a modified MRAC controller that can handle state and input constraints in uncertain linear systems. We have also provided easily verifiable conditions on the control and reference under which our stability results hold. Obtaining such a verifiable condition is crucial in practical implementations on safety-critical systems. A combination of reference modification and barrier Lyapunov methods in adaptive control are employed to arrive at these results.

关键词： model reference adaptive control Barrier function State constraint Input constraint reference modification

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model reference adaptive control (MRAC) for dual-axis solar tracker applied in CPV

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SOLAR ENERGY MATERIALS AND SOLAR CELLS 2025年 279卷

作者： Palomino-Resendiz, S. I. Penaloza-Lopez, M. A. Flores-Hernandez, D. A. Solis-Cervantes, C. U. Palomino-Resendiz, R. L. Inst Politecn Nacl ESIME Zacatenco Unidad Profes Adolfo Lopez Mateos Ave Luis Enrique Erro S-N Ciudad De Mexico 07738 Mexico Inst Politecn Nacl UPIITA Ave Inst Politecn Nacl 2580 Ciudad De Mexico 07340 Cdmx Mexico Inst Politecn Nacl CMPL Ave Acueducto S-N Ciudad De Mexico 07340 Mexico

In this work, the simulation of the behavior of an MRAC assisted solar tracker in solar trajectory tracking tasks has been developed fora prototype of a two-axis solar tracker that presents structural and performance characteristics capable of supporting PV, CPV, and HCPV-type technology. The proposal is numerically validated by developing an experimental methodology consisting of two stages. The first stage is associated with developing tests of the MRAC-assisted solar tracker to reproduce a solar trajectory (obtained offline by a numerical method) with and without the injection of disturbances (with dynamics equivalent to wind loads in reality), respectively. On the other hand, in the second stage, after replicating the conditions of the tests of stage one but with the assistance of a simple PID type controller, the analysis and comparison of the performance of each alternative is carried out, the above, in terms of tracking error or pointing accuracy. The results show that both alternatives are functional in the development of tests under favorable conditions. However, under conditions with disturbances, it can be noted that the MRAC reduces the tracking error by around 87% compared to PID control.

关键词： model reference adaptive control Solar energy Solar tracker CPV-HCPV

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model reference adaptive control for Switched Linear Systems With Uncertain Parameters and Its Application in Electro-hydraulic Systems

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INTERNATIONAL JOURNAL OF control AUTOMATION AND SYSTEMS 2024年第10期22卷 2990-2998页

作者： Ma, Ruicheng Xia, Xuedong Qu, Yuanchao Liaoning Univ Sch Math & Stat 66 Chongshan Middle Rd Shenyang 110036 Liaoning Peoples R China

This paper studies the model reference adaptive control for a class of switched linear systems with uncertain parameters under the dwell time switching. Firstly, the sufficient conditions for the model reference adaptive control synthesis are derived by introducing the time-varying Lyapunov function with increase coefficient in the framework of dwell time technique, where the dwell time is an arbitrary prespecified constant. Secondly, an adaptive controller is proposed to ensure that the state of the switched system asymptotically track the state of the reference switched system. Thirdly, based on the Lyapunov function proposed, the lower bound of dwell time is restricted, the decrease of Lyapunov function between two consecutive switched times of the active subsystem is limited, the energy of the whole switched system is reduced, and the asymptotic stability of the error system is realized. Then, if the reference is persistently exciting, the closed-loop error system is asymptotically stable and the parameter estimation error asymptotically converges to zero. Finally, an electro-hydraulic system is taken as an example to verify the effectiveness of the proposed method.

关键词： Asymptotically stable asymptotically track increase coefficient model reference adaptive control switched systems time-varying Lyapunov function

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model reference adaptive control Method for Dielectric Elastomer Material-Based Intelligent Actuator

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IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 2024年第4期54卷 2181-2191页

作者： Zhang, Yue Wang, Yawu Wu, Jundong Meng, Qingxin Su, Chun-Yi China Univ Geosci Sch Automat Hubei Key Lab Adv Control & Intelligent Automat Co Minist Educ Wuhan 430074 Peoples R China China Univ Geosci Engn Res Ctr Intelligent Technol Geoexplorat Minist Educ Wuhan 430074 Peoples R China Taizhou Univ Sch Intelligent Mfg Taizhou 318000 Peoples R China

This article presents a model reference adaptive control method (MRACM) for the high-precision tracking control of a dielectric elastomer material-based intelligent actuator (DEMIA). First, a dynamics model of the DEMIA is established to delineate its complex nonlinear behaviors. Second, a feed-forward inverse compensation control method (FICCM) is proposed to compensate for the nonlinear behaviors of the DEMIA, so as to preliminarily achieve its tracking control. Third, due to the fact that model uncertainties and external disturbances are inescapable in practical applications, a MRACM based on the established nominal model of the DEMIA is further presented to improve the tracking control performance. The stability of the entire control system is proved via the Lyapunov method. In the end, a series of tracking control experiments with different multifrequency expected trajectories are executed to illustrate the validity of the proposed control methods. The root-mean-square errors of all control experiment results are less than 2.8%, which reflects that the proposed MRACM is distinguished from a practical application perspective.

关键词： Dielectric elastomer material-based intelligent actuator (DEMIA) dynamics model feed-forward inversecompensation control model reference adaptive control

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model reference adaptive control for pH regulation

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RIAI - Revista Iberoamericana de Automatica e Informatica Industrial 2025年第2期22卷 126-134页

作者： Caparroz, Malena Guzmán, José Luis Berenguel, Manuel Gil, Juan Diego Acién, Francisco Gabriel Departamento de Informática ceiA3 CIESOL Universidad de Almería Ctra. Sacramento s/n La Cañada de San Urbano Almería Spain Departamento de Ingeniería Química ceiA3 CIESOL Universidad de Almería Ctra. Sacramento s/n La Cañada de San Urbano Almería Spain

The control of raceway photobioreactors for microalgae production represents a significant challenge due to its non-linear dynamics, the presence of disturbances, the biological nature of the system and the high interaction between the different variables. In this way, this work presents a model reference adaptive control (MRAC) strategy for pH control, one of the most critical and challenging variables to regulate. The strategy combines the implementation of the classical MRAC scheme with a PI (proportional-integral) controller, resulting in a hybrid control structure. This structure has been implemented in a first-principles simulator and has been compared with the classical PI scheme, evaluating the behaviour of both strategies by means of performance indices. The results obtained validate the use of adaptive control techniques such as the one implemented in order to obtain a better pH regulation. © 2025 Universidad Politecnica de Valencia. All rights reserved.

关键词： model reference adaptive control

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model reference adaptive control for nonlinear time-varying hybrid dynamical systems

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INTERNATIONAL JOURNAL OF adaptive control AND SIGNAL PROCESSING 2023年第8期37卷 2162-2183页

作者： L'Afflitto, Andrea Virginia Tech Grad Dept Ind & Syst Engn Blacksburg VA 24061 USA

This paper presents the first model reference adaptive control system for nonlinear, time-varying, hybrid dynamical plants affected by matched and parametric uncertainties, whose resetting events are unknown functions of time and the plant's state. In addition to a control law and an adaptive law, which resemble those of the classical model reference adaptive control framework for continuous-time dynamical systems, the proposed framework allows imposing instantaneous variations in the reference model's trajectory to rapidly steer the trajectory tracking error to zero, while retaining the closed-loop system's ability to follow a user-defined signal. These results are enabled by the first extension of the classical LaSalle-Yoshizawa theorem to time-varying hybrid dynamical systems, which is presented in this paper as well. A numerical simulation shows the key features of the proposed adaptive control system and highlights its ability to reduce both the control effort and the trajectory tracking error over a classical model reference adaptive control system applied to the same problem.

关键词： hybrid dynamical systems LaSalle-Yoshizawa theorem model reference adaptive control

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model reference adaptive control based on a novel scalar update law

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR control 2023年第11期33卷 6250-6262页

作者： Yan, Fang Hou, Xiaorong Tian, Tingting Univ Elect Sci & Technol China Sch Automat Engn Chengdu Peoples R China Univ Elect Sci & Technol China Sch Automat Engn Chengdu 611731 Peoples R China

This paper puts forward a model reference adaptive control (MRAC) framework with a compensator based on a novel scalar update law for the dynamical systems with matched uncertainty. The scalar update law is given by an algebraic expression of basis functions and system errors. The main advantage of the proposed MRAC framework is that only a scalar function requires updating online such that the architecture is simple and the computational burden in the existing results can be relieved. Furthermore, the asymptotic stability of the system error dynamics is guaranteed by the proposed controller. Two numerical examples are given to demonstrate the effectiveness of the proposed MRAC framework.

关键词： dynamical systems with matched uncertainty model reference adaptive control scalar update law transient performance guaranteed and asymptotically stability analysis

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model reference adaptive control of Cross-Coupling Hysteresis in Piezoceramics With Dynamic Loads

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IEEE ACCESS 2022年 10卷 14691-14697页

作者： Zhang, Lue Zhu, Zipeng Zhou, Xiaochong Sun, Lining Soochow Univ Sch Mech & Elect Engn Jiangsu Prov Key Lab Adv Robot Suzhou 215123 Peoples R China

During the ultraprecise cutting of micro-structure surface with fast tool servo (FTS), the hysteresis of piezoelectric actuators (PEAs) are affected by dynamic voltage excitations and real-time cutting force, which declines the servo accuracy and cutting performance. In this paper, for a multi-input-single-output (MISO) cutting system, a cross-coupling rate-dependent Prandtl-Ishlinskii (CRPI) model is proposed and identified for the dynamic hysteresis of PEAs under dynamic voltage excitation and external loads. A model reference adaptive control method is then presented to eliminate the positioning nonlinearity of PEAs. The hysteresis modeling accuracy is discussed and the adaptive controller is validated through experiments.

关键词： Hysteresis Adaptation models Load modeling Autoregressive processes Dynamics adaptive control Voltage measurement Piezoelectric actuator dynamic hysteresis model cross-coupling model reference adaptive control

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model reference adaptive control for Split DC-Link based Dual Active Bridge Converter

Model Reference Adaptive Control for Split DC-Link based Dua...

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41st IEEE International Communications Energy Conference (IEEE INTELEC) - Powering Information and Communication Technologies (ICT) for a Billion Lives

作者： Bhoomika, R. S. Ranjan, Ravi Karanki, Srinivas Bhaskar IIT Bhubaneswar Sch Elect Sci Bhubaneswar India

ISBN: (纸本)9798350370577

This paper develops a model reference adaptive controller (MRAC) scheme for a split dc-link dual-active-bridge (SDLDAB)-based multiport converter (MPC). The proposed controller's control parameters are adaptively adjusted as the converter parameters vary under different conditions. It does not require the state-space modelling of the converter, unlike in a conventional proportional-integral (PI) controller. By estimating the control parameters using an adaptation law, the performance of the MRAC is compared with a PI controller in order to illustrate the effectiveness and resilience of the adaptive operation. The developed method was tested on MATLAB/Simulink software.

关键词： split dc-link based dual active bridge converter model reference adaptive control p-i controller adaptation law control law

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