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Article
Computer Science, Artificial Intelligence
Haoming Zou et al.
Summary: This paper proposes an event-triggered-based optimal tracking control scheme for an unknown nonlinear system with unmeasurable state, constrained input, and limited communication. It derives an event-triggered Hamilton-Jacobi-Bellman (HJB) equation and constructs a novel online event-triggered-based neural networks observer (NNsO) to obtain the unmeasurable state and system dynamics. It also establishes a single critic neural network based on adaptive dynamic programming to solve the event-triggered HJB equation.
Article
Automation & Control Systems
Xinyu Lv et al.
Summary: This paper addresses the event-triggered sliding mode control problem for 2D FMII systems. A partially ordered sequence is defined, and a bidirectional dynamic event-triggered mechanism is introduced in the S/C channel to reduce unnecessary transmission. The evolutions of the triggered sequences and dynamic variables are consistent with the evolutions of the 2D FMII system states. A model transformation is used to design the event-triggered SMC scheme, with sufficient conditions established for guaranteeing the reachability of the specified sliding surface and the exponential stability of the sliding mode dynamics on this surface. Simulation results are provided to illustrate the effectiveness of the proposed control scheme.
Article
Automation & Control Systems
Yuxuan Shen et al.
Summary: This paper investigates the dynamic event-based recursive filtering problem for multirate systems over sensor networks. By considering multirate sampling strategy and integral measurements, a distributed recursive filtering scheme is implemented in communication channels among sensor nodes, achieving a minimal upper bound on the filtering error covariance.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Computer Science, Artificial Intelligence
A. Pratap et al.
Summary: This research investigates the fractional-order genetic regulatory networks (FOGRNs) with feedback regulation delays. The existence and uniqueness of the considered systems are established using the Banach fixed point theorem. Sufficient criteria are obtained based on the Lyapunov method and fractional-order Razumikhin theorem to ensure global asymptotic stability for addressing fractional-order systems. A suitable controller with discontinuous terms is designed to guarantee asymptotic convergence to zero in a finite time and accurately estimate the upper bound of the settling time for finite-time stability. Numerical examples are provided to verify the correctness of the obtained stability results.
Article
Computer Science, Artificial Intelligence
Qiankun Song et al.
Summary: This paper considers the issue of input-to-state exponential stability (ISES) for stochastic complex-valued neural networks with neutral delay (SCVNNs) and discrete delay. Two criteria expressed through linear matrix inequality (LMI) are derived based on Ito formula in complex-valued field and Lyapunov-Krasovskii functional approach to ensure the stability of the networks. Two examples are provided to verify the results.
Article
Mathematics, Applied
Janusz Brzdek et al.
Summary: This paper investigates the Ulam stability of a fractional order delayed differential equation. Formulas are provided to generate exact solutions of the equation using functions that only approximately satisfy it. The convergence speed and the distance between the approximate and exact solutions are estimated. Exemplary calculations involving different norms and semigauges are provided to obtain reasonable estimations in specific cases.
RESULTS IN MATHEMATICS
(2022)
Article
Mathematics, Applied
Aldo Jonathan Munoz-Vazquez et al.
Summary: This paper proposes a robust sliding mode controller for distributed-order systems, utilizing a dynamic extension to induce an integer-order reaching phase and a continuous fractional sliding mode controller to compensate disturbances. Theoretical results demonstrate exact compensation of disturbances and asymptotic convergence of the pseudo-state, with numerical simulation confirming the reliability and efficacy of the method, outperforming conventional sliding mode schemes.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Engineering, Electrical & Electronic
Mehdi Doostinia et al.
Summary: Recently, DC microgrids have gained importance due to their simpler architecture and better integration of renewable energy sources. However, voltage stability is a challenge in DC microgrids. This paper proposes a novel distributed control system for DC microgrids using an event-triggered average consensus protocol and fractional-order proportional-integral (FOPI) local controllers to achieve voltage stabilization and accurate energy balancing of energy storage systems (ESSs).
ELECTRIC POWER SYSTEMS RESEARCH
(2022)
Article
Engineering, Mechanical
Xiaoyun Zhong et al.
Summary: This paper addresses the issues of global quasi-Mittag-Leffler stability of distributed-order BLDCM chaotic system and provides new sufficient and necessary conditions, improving previous results.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Multidisciplinary
Zhongyi Zhao et al.
Summary: This paper investigates the set-membership slate estimation problem in complex networks using an event-triggered mechanism and zonotopes to restrain estimation errors. The proposed algorithm effectively calculates estimator parameters and demonstrates its efficiency through an illustrative example.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2022)
Article
Mathematics, Applied
Qiang Yu et al.
Summary: It is well known that the magnetic resonance imaging (MRI) signal decay exhibits anomalous relaxation, which deviates from the classical mono-exponential relaxation. This study investigates the utility of distributed-order time fractional Bloch equations in describing anomalous relaxation processes in human brain MRI data. The results show that models 2 and 3 may be more suitable than model 1 for characterizing anomalous relaxation processes in human brain MRI data.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Automation & Control Systems
Yezheng Wang et al.
Summary: This article addresses the multiloop decentralized H-infinity fuzzy PID-like control problem for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays under dynamical event-triggered mechanisms. A general multiloop decentralized fuzzy PID-like controller is designed based on the node-based idea, and the desired controller gains are characterized by solving an optimization problem.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Engineering, Multidisciplinary
Yang Liu et al.
Summary: This paper focuses on distributed filtering and fault estimation in complex networks, proposing an algorithm optimized through dynamic event-triggered transmissions. The algorithm constructs filters using local measurements and information from neighboring nodes, effectively managing communication between nodes.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2022)
Article
Automation & Control Systems
Kaiqun Zhu et al.
Summary: This paper investigates the set-membership filtering problem for a class of two-dimensional shift-varying systems described by the general Fornasini-Marchesini second model with a dynamic event-triggered mechanism. A dynamic event-triggered mechanism is exploited to improve the efficiency of utilizing the network resources for the 2-D shift-varying system, and a set-membership filter is designed for 2-D systems subject to unknown-but-bounded noises. The conditions for the existence of the desired set-membership filter are derived using mathematical induction technique and set theory, and the filter gains are obtained by solving optimization problems subject to ellipsoidal constraints.
Article
Automation & Control Systems
Licheng Wang et al.
Summary: This paper addresses the state estimation problem of a class of linear continuous-time systems under bit rate constraints. By using the singular value decomposition technique, an event-based encoding strategy is developed to reduce network resource consumption. The exclusion of the Zeno phenomenon is proven, and sufficient conditions for bounded decoding error are established. A necessary condition is proposed to derive a lower bound on the bit rate where the decoding error diverges. The explicit expression of the desired state estimator is parameterized, and the boundedness of the estimation errors is analyzed.
Article
Automation & Control Systems
Xiao-Chuang Jin et al.
Summary: This paper investigates the robust stability and stabilization problems for fractional-order time-varying delay systems. A new fractional-order Razumikhin theorem is proposed, and novel delay-dependent stability conditions for time-varying delay systems are derived using this theorem. A state feedback stabilization controller is designed based on the obtained stability conditions, and a local optimization algorithm is proposed to address the computational difficulty of the controller design.
EUROPEAN JOURNAL OF CONTROL
(2022)
Article
Computer Science, Artificial Intelligence
Weiwei Sun et al.
Summary: This paper focuses on the event-triggered H-infinity fusion estimation problem for uncertain discrete-time Hamiltonian systems with time-varying delays and sensor saturations. By introducing a component-based event-triggered mechanism and utilizing Lyapunov-Krasovskii stability, sufficient conditions are established to guarantee local exponential stability of the augmented system. The estimator gain is obtained using a certain matrix inequality. Two examples are provided to demonstrate the effectiveness of the proposed scheme.
INFORMATION FUSION
(2022)
Article
Computer Science, Artificial Intelligence
Qi Li et al.
Summary: This article discusses a method for estimating states and unknown inputs in complex networks, utilizing redundant channels and dynamic event-triggered mechanisms to improve estimation accuracy and energy efficiency.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Automation & Control Systems
Shaoying Wang et al.
Summary: This article addresses the nonfragile filtering issue for complex networks with switching topologies, sensor saturations, and dynamic event-triggered communication protocol. By utilizing random variables and DECP, the upper bounds on filtering error covariances are ensured. Through explicit derivation of gain parameters and analysis of matrix boundedness, the challenges of interconnected nodes are overcome, with simulations proving the usefulness of the developed filtering algorithm.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Engineering, Electrical & Electronic
Fei Han et al.
Summary: This paper addresses the distributed H-infinity-consensus state estimation problem for a specific class of discrete time-varying systems. It proposes a dynamic event-triggered scheme to save energy and considers potential network attacks. A distributed estimator is constructed to achieve the prescribed consensus performance, and sufficient conditions for the existence of the estimator are established using a local performance analysis method. The estimator gains are obtained by solving recursive matrix inequalities. Extensive simulation studies validate the effectiveness of the proposed algorithm.
IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS
(2022)
Article
Mathematics, Applied
Nanxiang Yu et al.
Summary: This paper investigates the synchronization of fractional-order differential chaotic systems using event-triggered impulsive control, combining the advantages of impulsive control and event-triggered control. By reducing the update frequency of the controller, the consumption of communication bandwidth and computing resources can be further reduced, while excluding Zeno-behavior of the impulsive sequence. The theoretical results are validated through a numerical example with simulation.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Computer Science, Artificial Intelligence
Qiankun Song et al.
Summary: This study investigated the robust stability analysis of FOQVNNs with neutral delay and parameter uncertainties, deriving delay-independent and delay-dependent criteria using matrix inequality technique and Lyapunov method to guarantee the existence, uniqueness, and global stability of equilibrium point for FOQVNNs. Two simulation examples were provided to demonstrate the theoretical results.
Article
Engineering, Mechanical
Aldo Jonathan Munoz-Vazquez et al.
Summary: This paper introduces the concept of distributed-order calculus and presents a controller design that ensures predetermined-time convergence of the solution of a distributed-order dynamical system. Additionally, a predefined-time sliding mode design for a general class of uncertain distributed-order dynamical system is proposed. A numerical study is conducted to demonstrate the reliability of the proposed scheme.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Applied
Oana Brandibur et al.
Summary: The necessary and sufficient conditions for the asymptotic stability and instability of linear two-dimensional autonomous systems of fractional-order differential equations with Caputo derivatives are explored. The stability and instability properties, both dependent and independent on the fractional order, are fully characterized in terms of the main diagonal elements and determinant of the systems' matrix.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
(2021)
Article
Automation & Control Systems
Ehsan Majma et al.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2020)
Article
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Xiao Liu et al.
Article
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Hamed Taghavian et al.
ASIAN JOURNAL OF CONTROL
(2019)
Article
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Vahid Rezaei et al.
EUROPEAN JOURNAL OF CONTROL
(2019)
Article
Automation & Control Systems
Christophe Viel et al.
Article
Automation & Control Systems
Mahmoud Abdelrahim et al.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2019)
Article
Automation & Control Systems
Hamed Taghavian et al.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2018)
Article
Automation & Control Systems
Fei Hao et al.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2017)
Article
Mathematics, Applied
G. Fernandez-Anaya et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2017)
Article
Automation & Control Systems
Pavankumar Tallapragada et al.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2016)
Article
Automation & Control Systems
Romain Postoyan et al.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2015)
Article
Automation & Control Systems
Zhuang Jiao et al.
ASIAN JOURNAL OF CONTROL
(2013)
Article
Automation & Control Systems
Guillermo Fernandez-Anaya et al.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2013)
Article
Mathematics, Applied
Rudolf Gorenflo et al.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
(2013)
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Yan Li et al.
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TT Hartley et al.
