Article
Computer Science, Artificial Intelligence
Zahra Rasooli Berardehi, Chongqi Zhang, Mostafa Taheri, Majid Roohi, Mohammad Hassan Khooban
Summary: This paper introduces a dynamic-free T-S fuzzy sliding mode control method for synchronizing different chaotic fractional-order systems in the presence of input saturation. Using a new definition of fractional calculus and the fractional version of the Lyapunov stability theorem and linear matrix inequality concept, the proposed controller is able to suppress and synchronize the undesired behavior of the fractional-order chaotic systems without any chattering phenomenon. An example of synchronization of complex power grid systems is provided to illustrate the theoretical result of the paper in real-world applications.
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
(2023)
Article
Mathematics, Interdisciplinary Applications
Yunmei Fang, Siyang Li, Juntao Fei
Summary: In this study, a second-order sliding mode control (SOSMC) with a fractional module using an adaptive fuzzy controller is developed for an active power filter (APF). A second-order sliding surface using a fractional module is designed to reduce discontinuities and chattering, ensuring system stability and simplifying the design process. Additionally, a fuzzy logic control is employed to estimate parameter uncertainties. Simulation and experimental results demonstrate the effectiveness of the designed fractional SOSMC with adaptive fuzzy controller in satisfactorily eliminating harmonics, as well as its good robustness and stability compared to an integer order controller.
FRACTAL AND FRACTIONAL
(2022)
Article
Engineering, Multidisciplinary
M. Labbadi, A. J. Munoz-Vazquez, M. Djemai, Y. Boukal, M. Zerrougui, M. Cherkaoui
Summary: This paper proposes a finite-time controller based on fractional-order terminal sliding mode for an unmanned aerial vehicle facing uncertainties and disturbances. The controller shows good robustness and convergence properties in both position and attitude control. Simulation results demonstrate the advantages of this control approach over other existing controllers.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Computer Science, Information Systems
Abdul-Wahid A. Saif, Khaled Bin Gaufan, Sami El-Ferik, Mujahed Al-Dhaifallah
Summary: This research proposes the implementation of two advanced controllers with integer and fractional order quadrotor systems to enhance control performance, robustness, and accuracy. MATLAB simulation studies verify the effectiveness of the approach, showing that the fractional order quadrotor system outperforms the traditional integer order system. The study highlights the potential of fractional order modeling and control techniques in improving quadrotor system performance, with implications for modern control engineering.
Article
Multidisciplinary Sciences
Jianxiang Yang, Jianbin Xiong, Jian Cen, Wei He
Summary: This paper focuses on the finite-time generalized synchronization problem of non-identical fractional order chaotic (or hyper-chaotic) systems by designing an adaptive sliding mode controller. The effects of disturbances and model uncertainties are taken into account. The proposed approach is validated through numerical simulations, and a novel speech cryptosystem is proposed based on the generalized finite-time synchronization criterion.
Article
Mathematics, Interdisciplinary Applications
Amin Sharafian, Jeevan Kanesan, Anis Salwa Mohd Khairuddin, Anand Ramanathan, Alireza Sharifi, Xiaoshan Bai
Summary: This paper presents a novel approach to designing a fixed-time fractional order observer for estimating the states of the dynamic model of HIV infection. The proposed approach combines output injection terminal sliding mode and RBF neural network strategies to achieve robust and efficient estimation. The results show accurate and efficient estimation of the states of the HIV model.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Electrical & Electronic
Xinyi He, Xiaodi Li, Shiji Song
Summary: This paper proposes a novel terminal sliding-mode control design for second-order systems that effectively eliminates the singularity problem and achieves finite-time stabilization. Necessary constraints on disturbances are provided to ensure the existence of sliding mode in the presence of hybrid disturbances.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Automation & Control Systems
Irfan Sami, Shafaat Ullah, Nasim Ullah, Jong-Suk Ro
Summary: This paper presents a high-performance control system for wind power generation based on fuzzy fractional-order terminal sliding mode control, which achieves a balance between control performance and chattering elimination through the boundary layer approach. Additionally, a novel wind speed estimation technique based on Gaussian process regression is proposed.
Article
Mathematics, Interdisciplinary Applications
Youjun Chen, Songyu Wang
Summary: This work investigates a backstepping controller design for fractional-order strict feedback systems using the neural network control method. Robust terms are designed in the controller to handle estimation errors and ensure stability of the controlled system. The proposed controller has a simple form that can be easily implemented.
Article
Mathematics, Interdisciplinary Applications
Funing Lin, Guangwang Su, Quanbao Ji, Zongqiao Tang, Jun Fu
Summary: This paper proposes a novel fuzzy sliding-mode backstepping control approach for the tracking control of fractional-order chaotic nonlinear systems. By introducing a sliding surface, fuzzy logic systems, and utilizing dynamic surface technique, the proposed control scheme achieves fast error convergence and chaos effect suppression.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2022)
Article
Engineering, Civil
Kang Xu, Liping Chen, Antonio M. Lopes, Mingwu Wang, Xiaochuan Li
Summary: A novel robust adaptive fuzzy variable fractional-order sliding mode control strategy is proposed to suppress earthquake-induced vibrations on uncertain building structures. The strategy combines the concepts of variable fractional-order calculus and sliding mode control to establish a new variable fractional-order sliding mode controller. The controller utilizes VFO fuzzy logic with online adaptive approximation to ensure robustness and superior performance in the presence of uncertain structure parameters and external unknown earthquake excitation.
ENGINEERING STRUCTURES
(2023)
Article
Acoustics
Xuefeng Zhang, Wenkai Huang
Summary: This article presents an integral sliding mode control scheme for uncertain nonlinear singular fractional-order systems with actuator faults, using linear matrix inequalities to ensure system control and robustness. An adaptive estimation method is proposed for updating the sliding mode controller when fault information is difficult to obtain. A sliding mode fault tolerant control law is designed to help the system reach the sliding surface in a finite time.
JOURNAL OF VIBRATION AND CONTROL
(2022)
Article
Automation & Control Systems
Bo Long, PengJie Lu, Danny Zhan, Xin Lu, Jose Rodriguez, Josep M. Guerrero, Kil To Chong
Summary: This paper proposes a Fuzzy-FOSMC dual loop current controller for a reduced-order three-phase LCL-type grid-connected converter. The introduced fractional-order term can suppress chattering, and the fuzzy controller adjusts the fractional-order of FOSMC to improve system performance. The inner loop is implemented using a Fuzzy-FOSMC controller to ensure current tracking.
Article
Acoustics
Zhengsheng Chen, Xuesong Wang, Yuhu Cheng
Summary: This paper proposes a novel finite-time disturbance observer-based recursive fractional-order sliding mode control algorithm for redundantly actuated cable driving parallel robots. By constructing a recursive fractional-order sliding mode surface and designing an auxiliary system, the algorithm achieves fast response convergence and high precision tracking performance. Meanwhile, an adaptive finite-time disturbance observer is used to compensate for model uncertainty and external disturbances.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Aerospace
Wenjie Qing, Binfeng Pan, Yueyang Hou, Shan Lu, Wenjing Zhang
Summary: In this study, a novel fractional-order sliding mode-based control method was developed for a class of nonautonomous nonlinear systems, using a fractional stability theorem and a fractional-order sliding surface. The applicability and efficiency of the proposed method were demonstrated through simulation results.
Article
Automation & Control Systems
Mohammad Hosein Sabzalian, Ardashir Mohammadzadeh, Sakthivel Rathinasamy, Weidong Zhang
Summary: This study presents a novel observer-based fuzzy control method for chaotic systems with unmeasurable states, unknown input constraints and unknown dynamics. The proposed control system shows good performance in the face of disturbances, uncertainties, unknown and time-varying input nonlinearities, unmeasurable states, and noisy faults, and is more effective compared to other types of fuzzy systems.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Computer Science, Artificial Intelligence
A. Parivallal, R. Sakthivel, Chao Wang
Summary: This paper proposes an approach for solving the solvability of multi-agent systems with Markov jumps, time-varying delay, and uncertainties. The paper focuses on constructing a state feedback control design with a guaranteed cost function that ensures both consensus and a certain amount of energy consumption. New sufficient conditions for the guaranteed cost consensus of the system are derived using linear matrix inequalities and suitable Lyapunov-Krasovskii functional, with the aid of Kronecker product properties. A numerical example is provided to demonstrate the effectiveness of the theoretical results.
JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE
(2023)
Article
Computer Science, Artificial Intelligence
R. Sakthivel, S. A. Karthick, Chao Wang, S. Kanakalakshmi
Summary: This paper addresses the reliable finite-time stabilization problem for a class of fractional-order memristor neural networks under sampled-data controller influenced by the quantization signal and actuator failures. The framework of observer has been initiated for estimating unmeasured state and remunerating the actuator faults with nonlinearities in the controller. The incorporation of quantizer in the network reduces the data transmission process. The activation function approach combined with traditional indirect Lyapunov theory provides sufficient conditions in the framework of linear matrix inequalities to assure the finite-time stabilization criterion for the addressed neural networks under the proposed reliable sampled-data control. The state feedback control and observer gain matrices are obtained by solving the developed linear matrix inequalities. Two numerical simulations are conducted to demonstrate the effectiveness and potentiality of the developed control law.
JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE
(2023)
Article
Automation & Control Systems
Vasudevan Tharanidharan, Rathinasamy Sakthivel, Harshavarthini Shanmugam, Dhafer J. Almakhles
Summary: This paper focuses on the design of observer-based decentralized memory feedback controller to ensure the asymptotic mean square stability of large-scale systems with minimum H-infinity performance index. The impact of faults in the actuator is considered in control design for robust performance. Simulations of numerical examples validate the effectiveness of the theoretical result.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Rathinasamy Sakthivel, Shanmugam Harshavarthini, Saminathan Mohanapriya, Ohmin Kwon
Summary: This article addresses the disturbance rejection and tracking problem of T-S fuzzy switched systems with uncertainties, input time-varying delays, and disturbances. A modified repetitive control protocol based on the improved-equivalent-input-disturbance estimator and extended Smith predictor approach is proposed to guarantee perfect disturbance estimation and tracking performances with high precision.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Mathematics, Applied
Seung-Hoon Lee, Myeong-Jin Park, Oh-Min Kwon
Summary: This study investigates improved stability conditions for linear systems with time-varying delays. A proposed integral inequality derived from the properties of simple matrices is simply proved and represents a generalized form of various integral inequalities. Different forms of integral inequality can be obtained based on N. Stability results are obtained by extending the augmented terms of Lyapunov-Krasovskii functionals according to N. Finally, two well-known numerical examples demonstrate that the stability criteria derived through the proposed generalized integral inequality are less conservative than existing criteria.
APPLIED MATHEMATICS LETTERS
(2023)
Article
Automation & Control Systems
Mohanapriya Saminathan, Rathinasamy Sakthivel, Hamid Reza Karimi, Velusamy Parthasarathy
Summary: This paper addresses the design of tracking control problem and disturbance compensation for switched neutral systems with multiple time-delays and external disturbances. A modified repetitive control technique based on the Matausek-Micic modified Smith predictor approach is implemented to ensure exact tracking performance and high precision disturbance attenuation. By integrating transfer function with modified Smith predictor block, accurate compensation of input time-delays and effective estimation and attenuation of external disturbances are achieved. Matrix inequalities are derived using the Lyapunov stability approach combined with average-dwell-time technique, and the controller gain matrices are calculated by solving the established matrix inequalities using available software. Simulation results of three numerical examples validate the efficiency and dominance of the suggested control procedure.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2023)
Article
Automation & Control Systems
R. Sakthivel, N. Shobana, S. Priyanka, O. M. Kwon
Summary: This study focuses on state tracking and disturbance attenuation for Takagi-Sugeno fuzzy based model with input time-delay through an improved extended state observer based predictive proportional-integral tracking control. A predictive proportional-integral tracking controller is formulated using the Smith-Predictor strategy to address the issue of input time-delay. An improved extended state observer is used to estimate the lumped disturbance, which is combined with the predictive proportional-integral tracking control for disturbance attenuation. Stability criteria and gain matrices are derived using the Lyapunov theory approach. Numerical simulation results are provided to demonstrate the effectiveness of the proposed control system.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Rathinasamy Sakthivel, Thangavel Satheesh, Shanmugam Harshavarthini, Mohammed Chadli, Shakir Saat
Summary: This paper addresses the stabilization problem of continuous-time periodic piecewise time-varying uncertain systems with time-varying delay, actuator failures, and external disturbances. A fault-alarm based hybrid control protocol is developed to switch between robust and reliable controllers accurately and timely by eliminating false alarms. Stability criteria in the form of linear matrix inequalities (LMIs) are established using Lyapunov-Krasovskii functional with time-varying periodic piecewise positive-definite matrices. Numerical examples involving mass-spring damper systems are presented to demonstrate the superiority and practicability of the designed controller.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
R. Sakthivel, N. Aravinth, V. Thilagamani, R. Sasirekha
Summary: This study addresses the fault estimation problem in continuous-time periodic piecewise time-varying systems with delays, fault signal, and external disturbances. The systems are divided into subintervals by segmenting the fundamental period. A fault estimator is designed based on periodic piecewise observer systems to estimate the unmeasurable states and fault signal simultaneously. A fault-tolerant controller is then developed based on the estimated values and system dynamics. The uniform boundedness of the system and error system is ensured using Lyapunov stability theory and matrix polynomial lemma, and the configuration of fault-tolerant control and observer gain matrices is determined based on the obtained constraints. The theoretical insights are validated through illustrative examples.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Automation & Control Systems
Ramalingam Sakthivel, Oh-Min Kwon, Myeong Jin Park, Rathinasamy Sakthivel
Summary: This article addresses the event-based finite-time dissipative filtering issue for interval type-2 fuzzy complex dynamical networks with coupling delays and cyber attacks. An event-triggered scheme introducing the estimation error is designed to balance state estimator performance and network communication bandwidth based on practical requirements. The proposed filter design parameters are obtained by solving linear matrix inequalities (LMIs). The effectiveness and applicability of the proposed event-based dissipative filtering scheme are demonstrated through numerical and practical examples.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Seung-Ho Kim, Seung-Hoon Lee, Myeong-Jin Park, Oh-Min Kwon, Jun-Min Park
Summary: This paper proposes improved Lyapunov-Krasovskii functionals (LKFs) for asymptotic stability of generalized neural networks (GNNs) with time-varying delays. Utilizing generalized free-weighting matrix inequality (GFWMI) and mathematical techniques, sufficient conditions dependent on the size of time delays are derived to guarantee the stability of GNNs. The augmented zero equality approach (AZEA) is applied to enhance the results and eliminate free variables. Three numerical examples demonstrate the effectiveness and less conservative results of the proposed method compared to previous research.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Yue Yu, Kun She, Jinhua Liu, Xiao Cai, Kaibo Shi, O. M. Kwon
Summary: In recent years, deep learning super-resolution models for progressive reconstruction have achieved great success. However, these models ignore the information contained in the lower subspaces and do not explore the correlation between features in the wavelet and spatial domain, resulting in not fully utilizing the auxiliary information brought by multi-resolution analysis. Therefore, we propose a super-resolution network based on the wavelet multi-resolution framework (WMRSR) to capture the auxiliary information contained in multiple subspaces and to be aware of the interdependencies between spatial domain and wavelet domain features.
Article
Computer Science, Artificial Intelligence
Ramalingam Sakthivel, Oh-Min Kwon, Seong-Gon Choi, Rathinasamy Sakthivel
Summary: This paper investigates the observer-based state estimation issue for discrete-time semi-Markovian jump neural networks with Round-Robin protocol and cyber attacks. The Round-Robin protocol is used to schedule data transmissions to avoid network congestion and save communication resources. Cyber attacks are modeled as a set of random variables satisfying the Bernoulli distribution. Sufficient conditions are established to guarantee the dissipativity performance and mean square exponential stability of the system, and a linear matrix inequality approach is utilized to compute the estimator gain parameters. Two examples are provided to demonstrate the effectiveness of the proposed state estimation algorithm.
Article
Automation & Control Systems
Boomipalagan Kaviarasan, Oh-Min Kwon, Myeong Jin Park, Rathinasamy Sakthivel
Summary: This article investigates the asymptotic stabilization of periodic piecewise time-varying systems with time-varying delay under various cyber attacks, particularly deception and DoS attacks. The system is transformed into time-varying subsystems based on each period's time interval. A state-feedback controller with periodic time-varying gain parameters is developed to solve the stabilization problem. An augmented Lyapunov-Krasovskii functional with periodically varying matrices is used to determine the conditions for designing the proposed controller that ensures the mean-square asymptotic stability of the system. Numerical examples support the effectiveness and superiority of the proposed method regardless of the cyber attacks involved.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
