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Automation & Control Systems
Majid Ghorbani, Mahsan Tavakoli-Kakhki
Summary: This paper deals with the robust stability analysis of a class of incommensurate fractional order quasi-polynomials with a general type of interval uncertainties. The computational complexity of specifying the robust stability is shown, and it is demonstrated that the robust stability of a fractional order quasi-polynomial involving the general type of uncertainty can be simply investigated without needing heavy computations. Examples are provided to attest the validity of the results.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2021)
Article
Automation & Control Systems
Majid Ghorbani
Summary: This paper investigates the robust stabilization of interval fractional-order plants with complex uncertain parameters using fractional-order controllers. Necessary and sufficient conditions for stabilization are presented using a graphical approach, as well as a stability checking function and an upper frequency bound to reduce computational burden.
Article
Mathematics, Applied
Ying Di, Jin-Xi Zhang, Xuefeng Zhang
Summary: This paper examines the admissibility of descriptor fractional-order interval systems (DFOISs) with the order alpha belonging to (0,2). Firstly, the necessary and sufficient conditions of admissibility for descriptor fractional-order systems (DFOSs) are presented in terms of linear matrix inequalities (LMI), which differ from the existing literature. Secondly, the criteria of quadratic admissibility for DFOISs with derivative matrix interval uncertainties are derived using projection lemma. Thirdly, both the state and derivative feedback controllers of DFOISs with interval uncertainties in all matrices are directly obtained without normalization. Finally, three numerical examples are provided to validate the effectiveness of the proposed results.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Mathematics, Interdisciplinary Applications
Zahra Sadat Aghayan, Alireza Alfi, Yashar Mousavi, Ibrahim Beklan Kucukdemiral, Afef Fekih
Summary: This paper investigates the stabilization of uncertain neutral-type delay fractional systems and proposes static and dynamic output feedback control design methods. Closed-loop robust stability is explored using the Lyapunov theorem.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Automation & Control Systems
Shouping Guan, Jiashuo Li, Panpan Dong
Summary: This paper proposes an optimal interval controller design method for single input single output uncertain systems based on the Kharitonov theorem and an interval optimization algorithm. The optimal interval controller design is transformed into an optimal controller synthesis issue of multiple vertex objects using the Kharitonov theorem. An interval particle swarm optimization (IPSO) algorithm is used to obtain the solution domains of the controller parameters for each vertex object. The intersections of the solution domains for all vertex objects are obtained as the optimal interval solution of interval controller parameters.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Engineering, Multidisciplinary
Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado
Summary: This paper investigates the robust stability of uncertain fractional order nonlinear systems with neutral-type delay and input saturation. Criteria for asymptotic robust stability are derived using linear matrix inequalities, and an optimization method is proposed for determining controller gains to maximize the domain of attraction, with numerical examples confirming the main results.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mathematics, Interdisciplinary Applications
Sevilay Tufenkci, Bilal Senol, Radek Matusu, Baris Baykant Alagoz
Summary: This study introduces an optimal robust stabilization approach for closed-loop FOPID control systems with interval parametric uncertainty and uncertain time delay, using pole placement in the v-plane to minimize root angle error and enhance robust control performance.
FRACTAL AND FRACTIONAL
(2021)
Article
Engineering, Mechanical
Ramasamy Kavikumar, Rathinasamy Sakthivel, Oh-Min Kwon, Palanisamy Selvaraj
Summary: This paper investigates the tracking control problem of interval type-2 fractional-order Takagi-Sugeno fuzzy systems with time-varying delays, using uncertainty and disturbance estimator. The results show that the tracking performance of the control system can be improved by introducing the uncertainty and disturbance estimator.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Tian Feng, Baowei Wu, YangQuan Chen
Summary: This paper investigates the output tracking problem for a class of fractional-order uncertain systems using event-triggered mechanisms. By utilizing output tracking error to construct an ET condition and an error-based feedback controller, the controlled system is ensured to asymptotically track the reference signal. Numerical simulations are conducted to validate the theoretical formulation's effectiveness.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2022)
Article
Mathematics, Applied
Danhua He, Baizeng Bao, Liguang Xu
Summary: This article discusses a class of uncertain conformable fractional-order delay systems under input saturation. By establishing the Lyapunov boundedness theorem for such systems, sufficient conditions for robust stability and boundedness are derived. Examples are provided to illustrate the obtained theory.
Article
Acoustics
Muhammad Zeeshan Malik, Marzieh Asadi, Hossein Rezaei
Summary: This research focuses on the robust stability assessment of a system with SOPITD characteristics controlled by FOPID controllers. A simple graphical method is proposed for analyzing the stability of interval systems, reducing complexity and improving the efficiency and performance of system design through the use of bounds and performance checking functions.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Automation & Control Systems
Jun-Guo Lu, Zhen Zhu, Ying-Dong Ma
Summary: This paper focuses on the robust stability and stabilization problems of multi-order fractional-order systems (MOFOSs) with interval uncertainties. New sufficient conditions for stability and robust stability conditions for uncertain systems are proposed, with results in the form of linear matrix inequalities. State feedback controllers are designed to stabilize both nominal and uncertain systems, with numerical examples provided to verify the effectiveness of the results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Mathematics, Interdisciplinary Applications
Ri Liu, Zhe Wang, Xuefeng Zhang, Jianxu Ren, Qinglong Gui
Summary: This paper investigates a class of variable-order fractional interval systems in which the system matrices are affected by the fractional order. Sufficient conditions for robust stability and stabilization conditions subject to actuator saturation are proposed. The stability region is estimated using an optimization problem, and three numerical examples are provided to verify the effectiveness of the results.
FRACTAL AND FRACTIONAL
(2022)
Article
Automation & Control Systems
Mohsen Ebrahimi, Mersad Asgari
Summary: This article introduces a robust fractional-order fixed-structure controller design method based on the fractional Kharitonov theorem, which stabilizes the fractional-order Kharitonov-defined polynomial system using a simple control approach. It proposes intuitive procedures for investigating the robust stability of the system by searching for a non-conservative fractional-order Kharitonov region in the controller parameters plane. This method establishes controllers that stabilize uncertain fractional-order systems by relating the fractional-order Kharitonov region to stabilizing controller parameters.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING
(2021)
Article
Automation & Control Systems
Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado
Summary: This article addresses the stability of uncertain fractional order delay systems of neutral type, including structured uncertainties, distributed delays, and actuator saturation. By using Lyapunov-Krasovskii functional and linear matrix inequalities, the asymptotic robust stability of the systems is ensured, and the gain of a state feedback controller is computed. Additionally, controller gains that extend the domain of attraction are obtained with the cone complementarity linearization method.
Article
Automation & Control Systems
Munevver Mine Ozyetkin, Cem Onat, Nusret Tan
ASIAN JOURNAL OF CONTROL
(2020)
Article
Automation & Control Systems
Ozan Gul, Nusret Tan
MEASUREMENT & CONTROL
(2019)
Article
Automation & Control Systems
Tufan Dogruer, Nusret Tan
MEASUREMENT & CONTROL
(2019)
Article
Automation & Control Systems
Ali Yuce, Nusret Tan, Derek P. Atherton
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2019)
Article
Automation & Control Systems
Furkan Nur Deniz, Baris Baykant Alagoz, Nusret Tan, Murat Koseoglu
ANNUAL REVIEWS IN CONTROL
(2020)
Article
Automation & Control Systems
Ali Yuce, Nusret Tan
Summary: The study focuses on obtaining analytical solutions for fractional order transfer functions with a single fractional element and unity coefficient using curve fitting method, providing accurate results in computing inverse Laplace transforms. The research shows the basis for higher fractional-order systems that can be decomposed into simpler fractional order systems.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2021)
Article
Engineering, Multidisciplinary
Murat Koseoglu, Furkan Nur Deniz, Baris Baykant Alagoz, Ali Yuce, Nusret Tan
Summary: This study demonstrates an effective operational amplifier-based analog circuit realization of approximate FO integral elements for industrial electronics, using Matsuda's approximation method to decompose the transfer function models into low-pass filter forms and implementing the partial fraction terms with low-pass filters and amplifier circuits.
ENGINEERING RESEARCH EXPRESS
(2021)
Proceedings Paper
Engineering, Electrical & Electronic
Tufan Dogruer, Nusret Tan
2019 11TH INTERNATIONAL CONFERENCE ON ELECTRICAL AND ELECTRONICS ENGINEERING (ELECO 2019)
(2019)
Proceedings Paper
Engineering, Electrical & Electronic
Ali Yuce, Nusret Tan
2019 11TH INTERNATIONAL CONFERENCE ON ELECTRICAL AND ELECTRONICS ENGINEERING (ELECO 2019)
(2019)
Proceedings Paper
Automation & Control Systems
Ali Yuce, Nusret Tan, Tufan Dogruer
2018 6TH INTERNATIONAL CONFERENCE ON CONTROL ENGINEERING & INFORMATION TECHNOLOGY (CEIT)
(2018)
Proceedings Paper
Automation & Control Systems
Tufan Dogruer, Nusret Tan
Proceedings Paper
Automation & Control Systems
M. M. Ozyetkin, C. Onat, N. Tan
Article
Automation & Control Systems
Ali Yuce, Furkan Nur Deniz, Nusret Tan, Derek P. Atherton
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL
(2018)
Article
Automation & Control Systems
Zakaria Baroud, Atallah Benalia, Carlos Ocampo-Martinez
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL
(2018)
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Engineering, Multidisciplinary
Ali Yuce, Nusret Tan
JOURNAL OF ENGINEERING-JOE
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