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Fractional‐order iterative learning control for fractional‐order linear systems
Asian Journal of Control, 2011AbstractIn this paper, we discuss in time domain the convergence of the iterative process for fractional‐order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional‐order and integer‐order iterative learning schemes are proved to be ...
Li, Yan, Chen, YangQuan, Ahn, Hyo-Sung
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Fractional order [proportional derivative] controller for a class of fractional order systems
Automatica, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ying Luo 0003, Yangquan Chen
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Finding the integer order systems for fractional order systems via fractional operational matrices
Proceedings of 2012 9th IEEE International Conference on Networking, Sensing and Control, 2012In this paper, a new innovative method for approximating fractional order system by an integer order model is proposed. The Riemann-Liouville's integral is adopted for fractional order operations via block pulse expansion and a new SID (system identification) matrix can be derived to identify the coefficients of an integer order transfer function to ...
Chi-Hsu Wang, Chun-Yao Chen
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Fractional-order ADRC framework for fractional-order parallel systems
2020 39th Chinese Control Conference (CCC), 2020This study discusses the control of parallel fractional order systems (FOSs) by the fractional-order active disturbance rejection control (FOADRC) technique. The FOADRC framework for linear FOSs and the necessary conditions for the existence of a stable controller of the system are given.
Zong-yang LI +5 more
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Synchronization of incommensurate fractional order system
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafael Martínez-Guerra +3 more
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A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems
Circuits, Systems, and Signal Processing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdolrahman Ramezani +1 more
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Fractional-Order Learning Systems
2022 International Joint Conference on Neural Networks (IJCNN), 2022Sayed Pouria Talebi +2 more
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An Algorithm for Fractional Order System Identification
2014 IEEE 17th International Conference on Computational Science and Engineering, 2014In this paper, a new algorithm for fractional order system identification is set up. We study the structure of vector fitting and give a decomposition through the computational instance. In the vector fitting method, we use the complex least-square method to instead least-square method when calculating the residues and dealing with the errors based on ...
Xixiao Liu, Guishu Liang
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Identification of Multivariable Fractional Order Systems
Asian Journal of Control, 2013AbstractThis paper deals with identification of multivariable fractional order systems. The state space model is used, based on the Guidorzi canonical form. An output error identification approach is used, and the parametric sensitivity functions model is developed as a multivariable fractional model.
Djamah, Tounsia +2 more
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Remarks on fractional order control systems
2012 American Control Conference (ACC), 2012Fractional order systems(FOS) have attracted much attention since it plays an important role in many fields of science and engineering. Fractional order systems have many relationship with integer order systems(IOS). Can a fractional order system be replaced with an integer order system in the sense of solution equivalence?
Xuefeng Zhang 0001, Yangquan Chen
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