Article
Computer Science, Interdisciplinary Applications
Xuyang Lou, Zheng Ji
Summary: This paper introduces a novel self-triggering control structure that combines the trigger time of control and sampling to reduce both the control and sampling time. The proposed algorithm solves the optimal control strategy using a cost function approximated by neural networks, resulting in an asymptotically stable closed-loop system.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Automation & Control Systems
Bhawana Singh, Anil Kumar Pal, Shyam Kamal, Thach Ngoc Dinh, Frederic Mazenc
Summary: This technical note investigates the predefined-time stability of nonlinear systems using vector Lyapunov functions. A predefined-time convergent vector comparison system is constructed, and the stability of the original dynamical system is proved using differential inequalities and comparison principles. Predefined-time controllers for large-scale systems are designed using vector control Lyapunov functions, with the introduction of sliding-mode control to mitigate matched bounded disturbances/uncertainties. Comparison systems are aggregated to reduce dimensionality for practical system applications.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Nelson F. F. Barroso, Rosane Ushirobira, Denis Efimov
Summary: In this paper, the problem of robust stabilization of affine nonlinear multistable systems in the presence of exogenous disturbances is studied. The results are based on the theory of input-to-state stability (ISS) and integral input-to-state stability (iISS) for systems with multiple invariant sets. The concepts of ISS and iISS control Lyapunov functions (CLFs) and the small control property are extended within the multistability framework. The efficiency of the extended CLF framework in the multistable sense is demonstrated through a Duffing system and a noise-induced transition in a semiconductor-gas-discharge gap system.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Mathematics, Interdisciplinary Applications
Mingyue Li, Huanzhen Chen, Xiaodi Li
Summary: This study investigates the stability of partial unmeasurable nonlinear systems under impulsive control, providing sufficient conditions for exponential stability using transition matrix method and dimension expansion technique. The proposed method allows for systems with incomplete states and relaxes restrictions on measurable states, expanding its practical applications. Two illustrative examples with numerical simulations are presented to demonstrate the effectiveness of the main results.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Fenglan Wang, Lijun Long
Summary: This paper investigates the problem of event-triggered adaptive neural network control for multi-input multi-output switched nonlinear systems with output and state constraints and noninput-to-state practically stable unmodeled dynamics. The paper proposes a nonlinear mapping to handle constraints, overcomes the difficulty caused by some non-ISpS unmodeled dynamics with a new switching signal, and designs event-triggering mechanisms and adaptive neural network controllers to deal with asynchronous switching without any known restriction on maximum asynchronous time.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Qiang Xi, Xinzhi Liu, Xiaodi Li
Summary: The article investigates the issue of practical finite-time stability (PFTS) in continuous-time nonlinear systems with disturbance. Extended Lyapunov results for semi-global/global PFTS are obtained, including attraction domain and settling time estimation, based on a relaxed Lyapunov condition. Specifically, a new scheme of delayed impulsive control involving a finite number of impulses is proposed for systems with stabilizing delayed impulses, achieving semi-global and/or global PFTS with explicitly designed minimum number of impulses in terms of initial states. Optimal delayed impulsive control design is provided to yield minimum settling time estimation in different situations. Several numerical examples are presented to validate the obtained results.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Youmin Gong, Yanning Guo, Dongyu Li, Guangfu Ma, Guangtao Ran
Summary: An innovative predefined-time tracking control algorithm is proposed for high-order nonlinear systems with control saturation and disturbance, which can directly calculate the upper bound of settling-time by user-defined parameters. The algorithm uses a predefined-time observer and an auxiliary dynamic system to handle disturbance and control saturation, designed using the backstepping method. The flexibility of the controller design is improved by allowing different parameters related to settling-time in each virtual controller.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Mathematics, Interdisciplinary Applications
Chaker Jammazi, Mohamed Boutayeb, Karima Saidi
Summary: This paper deals with new criteria for the fixed-time extinction of nonlinear dynamical systems. By comparison principal, it is shown that Gronwall-like integral inequalities can lead to the extinction of the system in fixed-time. Additionally, by decomposing the system into two subsystems, one with finite-time stability and the other with polynomial stability, the fixed-time extinction of the whole system can be achieved.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Abdellatif Ben Makhlouf
Summary: This paper describes the stability analysis of a class of fractional-order nonlinear systems, ensuring the convergence of a part of the solutions towards a ball. By using Lyapunov-like functions, the study examines these nonlinear systems that depend on a small parameter, and guarantees practical stability. Numerical examples are provided to illustrate the validity of the proposed theoretical results, along with a real application to a class of cobweb models.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Automation & Control Systems
Damian Edgardo Marelli, Minyue Fu
Summary: This paper studies the stability of networked control systems and presents a general result that determines global uniform boundedness, global asymptotic stability, or input-to-state stability for interconnected nonlinear systems. The result is checked using a scalar called the network gain, leading to the name "network gain theorem". The result extends the previously known matrix small-gain theorem and cyclic small-gain theorem for ISS. Additionally, the stability condition proposed is both sufficient and necessary, meaning that if it is not met, there exists an unstable networked system within the considered family. To complement the theoretical result, a fully distributed algorithm for computing the network gain is proposed, and simulation results are presented to illustrate its effectiveness.
Article
Automation & Control Systems
Wassim M. Haddad, Junsoo Lee
Summary: This article presents a framework for addressing the problem of optimal nonlinear analysis and feedback control for finite-time stability and finite-time stabilization for nonlinear discrete-time controlled dynamical systems. The finite-time stability of the closed-loop nonlinear system is guaranteed by satisfying a difference inequality involving fractional powers and a minimum operator. The Lyapunov function used in this framework can be seen as the solution to a difference equation corresponding to a steady-state form of the Bellman equation, ensuring both finite-time stability and optimality. Finally, a numerical example demonstrates the effectiveness of the proposed framework.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Engineering, Mechanical
Chengzhou Wei, Junmin Li
Summary: This paper investigates the finite-time non-fragile boundary feedback control problem for a class of nonlinear parabolic systems, considering both multiplicative and additive controller gain variations. Non-fragile boundary control strategies are designed for two controller gain variations via collocated or non-collocated boundary measurement. Sufficient conditions are presented in terms of linear matrix inequalities to ensure the stability of the resulting closed-loop system. Numerical examples are provided to verify the effectiveness of the proposed design method.
NONLINEAR DYNAMICS
(2021)
Article
Automation & Control Systems
Zenghui Hu, Xiaowu Mu
Summary: This study focuses on the stabilization problem of nonlinear stochastic systems using an event-triggered impulsive control scheme. Continuous and periodic event-triggered mechanisms are developed, with sufficient conditions given for system stability. Additionally, LMI-based conditions for exponential stability in the mean square are established for linear stochastic systems.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Mathematics
Bin Li, Jiahao Zhu, Ranran Zhou, Guoxing Wen
Summary: This article proposes a sliding mode control method based on an adaptive neural network for handling nonlinear systems with unknown dynamic functions. By introducing the boundary layer technique and continuous proportional function, the chattering phenomenon caused by discontinuous switching terms is effectively alleviated.
Article
Automation & Control Systems
Xiao Liang, Peng Zhang, Yongchun Fang, He Lin, Wei He
Summary: This study proposes a novel nonlinear antiswing controller for aerial transportation systems with consideration of double-pendulum swing effects, aiming to improve control performance. Experimental results demonstrate that the proposed control scheme exhibits better transient response compared to traditional methods.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2021)
Article
Automation & Control Systems
Ali Soltani Sharif Abadi, Pooyan Alinaghi Hosseinabadi, Saad Mekhilef
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2020)
Article
Energy & Fuels
Anna Sibilska-Mroziewicz, Andrzej Ordys, Jakub Mozaryn, Pooyan Alinaghi Hosseinabadi, Ali Soltani Sharif Abadi, Hemanshu Pota
Summary: This article introduces two controllers, LQR and FLC, for a three-area power system to compare their performance in power stabilization. The model and control strategies are tested in MATLAB software under various simulation scenarios, considering disturbances and faulty tie-lines between areas. The comparison leads to proposed metrics and advice on the application of each controller.
Article
Mathematics, Interdisciplinary Applications
Pooyan Alinaghi Hosseinabadi, Ali Soltani Sharif Abadi, Hemanshu Pota, Sundarapandian Vaidyanathana, Saad Mekhilef
Summary: In this paper, a novel adaptive finite-time sliding mode backstepping control scheme is suggested for controlling high-order double-integrator systems with mismatched disturbances and uncertainties. The proposed method combines robust sliding mode backstepping control, adaptive control, and finite-time stability to achieve better tracking performance and ensure system convergence within a finite time.
DISCRETE DYNAMICS IN NATURE AND SOCIETY
(2022)
Article
Automation & Control Systems
Pooyan Alinaghi Hosseinabadi, Ali Soltani Sharif Abadi, Howard Schwartz, Hemanshu Pota, Saad Mekhilef
Summary: This paper investigates the fixed-time convergence issue in uncertain nonlinear double integrator systems using a sliding mode observer-based controller. The proposed controller estimates unmeasured states, unknown disturbances, and uncertainties, ensuring fixed-time convergence for trajectory tracking. The stability analysis is established using the Lyapunov theory, and the controller's validity is tested in a simulated example of a robot manipulator. The superiority of this method is demonstrated by comparing it with two other methods from the literature.
ASIAN JOURNAL OF CONTROL
(2023)
Review
Surgery
Ali Soltani Sharif Abadi, Andrew Ordys, Krzysztof Kukielka, Barbara Pierscionek
Summary: This review discusses the significant challenges of robotic surgery for the eye, considering different eye diseases, available technologies, and costs in various surgical systems. The suitable controller conditions are discussed, taking into account relevant control engineering concepts. Comparison is made between the different characteristics of surgical robots for the eye.
INTERNATIONAL JOURNAL OF MEDICAL ROBOTICS AND COMPUTER ASSISTED SURGERY
(2023)
Article
Automation & Control Systems
Ali Soltani Sharif Abadi, Pooyan Alinaghi Hosseinabadi, Ayesha Hameed, Andrew Ordys, Barbara Pierscionek
Summary: An exoskeleton robot is a wearable device that requires the application of interactive force between human and robot. Force sensors placed on the robot must consider factors such as cost, noise, and weight. This study proposes a method of using state observers and a robust fixed-time controller to estimate the interactive force between a human arm model and an exoskeleton robot.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Ali Soltani Sharif Abadi, Pooyan Alinaghi Hosseinabadi, Pouya Heidarpoor Dehkordi
Summary: This paper presents a Nonsingular Fixed-time Sliding Mode Control method for synchronizing chaotic systems, which is robust and fast in dealing with uncertainties and disturbances.
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
(2023)
Article
Automation & Control Systems
Ali Soltani Sharif Abadi
Summary: This paper proposes a synchronization control method for chaotic systems with time delay in communication channels. The method is based on sliding mode control and fixed-time stability concepts, which can effectively synchronize the systems and provide robustness against uncertainties and external disturbances.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Proceedings Paper
Automation & Control Systems
Ali Soltani Sharif Abadi, Andrew Ordys, Barbara Pierscionek
Summary: This paper presents a method for designing a predefined-time sliding mode controller for a teleoperated robotic eye surgical system with an unknown time delay in the communication channel. The stability of the system is proven using Lyapunov theory, and the robustness of the controller against communication delay is verified through simulation results in MATLAB.
2023 27TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS, MMAR
(2023)
Proceedings Paper
Computer Science, Artificial Intelligence
Ali Soltani Sharif Abadi, Ayesha Hameed, Andrew Ordys, Krzysztof Kukielka, Pooyan Alinaghi Hosseinabadi, Barbara Pierscionek
Summary: This paper presents a fixed-time sliding mode controller and observer for a nonlinear underactuated hovercraft system. The observer is used to estimate the states of the hovercraft, which are then used in real-time by the controller. The method is chattering-free, fast-tracking, and ensures smooth control.
2022 INTERNATIONAL CONFERENCE ON THEORETICAL AND APPLIED COMPUTER SCIENCE AND ENGINEERING (ICTASCE)
(2022)
Article
Automation & Control Systems
Ali Soltani Sharif Abadi, Pooyan Alinaghi Hosseinabadi, Andrew Ordys, Michael Grimble
Summary: Uncertainties, disturbances, and cyber attacks are critical issues in practical systems. This paper proposes a robust controller for ship course system using the QFT method, which can handle uncertainties, disturbances, noise, and various cyber attacks. Numerical simulations are conducted to demonstrate the effectiveness of the proposed controller.
ARCHIVES OF CONTROL SCIENCES
(2022)
Article
Automation & Control Systems
Pooyan Alinaghi Hosseinabadi, Ali Soltani Sharif Abadi, Saad Mekhilef
Summary: A new finite-time robust controller is designed for ship heading control systems to handle unknown disturbances and uncertainties by utilizing adaptive method and fuzzy logic to enhance tracking performance.
INTERNATIONAL JOURNAL OF AUTOMATION AND CONTROL
(2022)
Article
Automation & Control Systems
Pooyan Alinaghi Hosseinabadi, Ali Soltani Sharif Abadi, Saad Mekhilef, Hemanshu Roy Pota
Summary: This paper introduces two novel controllers that utilize an adaptive finite-time sliding mode control scheme to deal with single-input multiple-output nonlinear systems, and new sliding surfaces are used to alleviate the chattering phenomenon of sliding mode control. Simulation results demonstrate the effectiveness of the proposed controllers for SIMO systems with mismatched uncertainties.
IET CYBER-SYSTEMS AND ROBOTICS
(2021)
Article
Automation & Control Systems
Pooyan Alinaghi Hosseinabadi, Ali Soltani Sharif Abadi, Saad Mekhilef, Hemanshu Roy Pota
Summary: The paper proposes a novel fixed-time adaptive sliding mode control scheme using a state observer for synchronizing chaotic support structures for offshore wind turbines in the presence of matched parametric uncertainties. The proposed controller integrates adaptive control concept, SMC method, fixed-time stability concept, and a state observer. The simulation results demonstrate that the proposed controller ensures fixed-time synchronization and provides accurate estimation of the unmeasured state and uncertainty upper bound.
JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS
(2021)
