Article
Automation & Control Systems
Zhiguo Yan, Fangxu Su, Zhiwei Gao
Summary: This article investigates the mean-square strong stability and stabilization of a discrete-time stochastic system corrupted by multiplicative noises. Necessary and sufficient conditions for the mean-square (MS) strong stability are derived, and the relationship between MS-strong stability and MS-stability is given. Moreover, conditions and controller designs for achieving mean-square strong stabilization via state feedback and output feedback are presented.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Xiongding Liu, Feiqi Deng, Wu Wei, Fangzhe Wan, Peilin Yu
Summary: This article investigates the mean-square exponential stability of stochastic nonlinear delay systems with dynamic event-triggered mechanism under periodically intermittent control scheme. To avoid Zeno behavior, a triggered mechanism with a fixed positive lower bound for the inter-execution time is constructed. An auxiliary system with dynamic event-triggering mechanism under continuous control is introduced, and the sufficient conditions and mean-square exponential stability of the auxiliary system are obtained using Lyapunov theorem and Halanay inequality. The exponential stability of the system under intermittent control is also proved by using the comparison theorem. Moreover, the lower bound of the duty cycle for a fixed period under intermittent controller is derived. The theoretical results are applied to the consensus of stochastic nonlinear delay networked multi-agent systems (MASs) with dynamic event-triggered mechanism, and numerical examples are provided to verify the effectiveness of the proposed methods.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Xuetao Yang, Quanxin Zhu
Summary: This article discusses the problem of event-triggered controls (ETCs) for stochastic functional differential systems (SFDSs). A novel event-triggered mechanism is proposed, which reduces communication resources compared to periodic sampled-data feedback controls. The results show that the SFDSs can achieve boundedness, mean square exponential stabilization, and globally asymptotical stabilization through the use of ETC and a degenerate Lyapunov functional.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
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, Applied
Hassan Ranjbar, Leila Torkzadeh, Dumitru Baleanu, Kazem Nouri
Summary: In this study, a new approximation scheme based on the explicit Milstein scheme is proposed for solving stochastic differential equations. Under sufficient conditions, the scheme is proven to have strong convergence and its stability is analyzed.
Article
Automation & Control Systems
Juanjuan Xu, Zhaorong Zhang, Wei Wang
Summary: This article focuses on the consensus problem in multiagent systems, specifically addressing the issues caused by fading channels from control inputs to the plant. It proposes a novel predictorlike control protocol and concludes that the system is mean-square consensusable for specific system matrices. Additionally, sufficient conditions are obtained for multiagent systems with general dynamics using parameterized Riccati inequalities/equations.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Mathematics, Applied
Pham Huu Anh Ngoc
Summary: This paper introduces explicit criteria for the contraction of stochastic differential equations, extending the well-known criterion for contraction of solutions of deterministic differential equations. An illustrative example is provided in the paper.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Automation & Control Systems
Yuan Liu, Qiang Ling
Summary: This article studies the quantized control problem of a scalar continuous-time linear system over a digital network. By analyzing the evolution of the uncertainty set of the system state, a lower bound on the necessary bit rate for any event-triggered strategy is derived, and a control strategy combining event-triggering and time-triggering is proposed to stabilize the system. Numerical examples are provided to illustrate the obtained results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Yuan Liu, Qiang Ling
Summary: This paper investigates the stabilization problem of a scalar linear event-triggered system via a bit-rate-limited network with bounded transmission delay and Markov feedback dropouts. Necessary and sufficient bit rate conditions are derived, and a variable bit rate quantization policy is proposed for achieving minimum-bit-rate stability.
Article
Automation & Control Systems
Junjie Chen, Wei Zhang, Kongming Long
Summary: This paper investigates the problem of event-triggered impulsive control (ETIC) for stochastic multi-agent systems (SMASs) under stochastic cyber attacks. In a stochastic cyber-attack model, it is suggested to combine denial-of-service (DoS) and deception attacks using two independent Bernoulli random sequences. The event triggering mechanism (ETM) in the ETIC system creates the impulsive control time sequences, and it is suggested to use ETMs with waiting times to stop Zeno behavior. Based on the proposed ETMs, sufficient criteria are given for the mean square consensus of SMASs. Two simulation examples are provided to validate our ETIC scheme.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Chen Liu, Lei Liu, Zhaojing Wu, Jinde Cao, Jianlong Qiu
Summary: This paper focuses on the observer-based event-triggered optimal control (ETOC) for unknown non-linear Ito-type stochastic multi-agent systems (SMASs) with input constraints. It presents the event-triggered stochastic Hamilton-Jacobi-Bellman (HJB) equation with input constraints and derives a sufficient criterion for optimal mean-square leader-following consensus of constrained-input SMASs. A novel event-triggered policy iteration algorithm is designed to obtain the ETOC strategy for constrained-input SMASs. An identifier-critic framework is designed using an observer-based identifier network to recover the knowledge of unknown stochastic dynamics and an event-triggered approximate optimal controller is designed using event-triggered adaptive critic designs (ET-ACDs). It is also proven that Zeno behavior can be excluded in terms of expectation. Two examples are provided to further verify the validity of the ETOC scheme.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Bin Liu, Zhijie Sun, Ming Li, Dong-Nan Liu
Summary: This article studies event-triggered impulsive control with constraints for the stabilization of switched stochastic systems. By designing specific indices, stabilizations in terms of exponential stability are achieved, and sampling-based and random ETIC schemes are proposed to reduce impulse frequency compared to classic impulsive control methods.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Automation & Control Systems
Chengbo Yi, Jianwen Feng, Chen Xu, Jingyi Wang, Yi Zhao
Summary: This study focuses on the mean square consensus problem for stochastic multi-agent systems with nonlinear protocols, proposing a novel proposition based on matrix theory to overcome challenges, and exploring time-dependent event-triggered strategies for communication efficiency. Sufficient conditions for mean square consensus with state-dependent topology are established, eliminating Zeno phenomenon with a positive lower bound for inter-event times. A simulation example demonstrates the validity of theoretical results and effectiveness of the control protocol.
INTERNATIONAL JOURNAL OF CONTROL
(2021)
Article
Engineering, Electrical & Electronic
Han Yu, Ailong Wu, Zhigang Zeng
Summary: This brief presents a new approach to studying nonlinear stochastic delay differential systems with Markov chain. New explicit identities for the mean square exponential stability of these systems are derived, and corresponding delay-independent and delay-dependent stability theorems are provided. An example is given to illustrate the validity of these findings.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Mathematical & Computational Biology
Tingting Cai, Yuqian Wang, Liang Wang, Zongying Tang, Jun Zhou
Summary: This paper discusses a stochastic epidemic model with logistic growth. Based on stochastic differential equation theory and stochastic control method, the properties of the model's solution near the epidemic equilibrium of the original deterministic system are investigated. The paper establishes sufficient conditions for the stability of the disease-free equilibrium and constructs two event-triggered controllers to drive the disease from endemic to extinction. Numerical examples illustrate the effectiveness of the results.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Automation & Control Systems
Peilin Yu, Feiqi Deng
Summary: This article discusses the almost sure stability of stochastic neutral Cohen-Grossberg neural networks (SNCGNNs) with Levy noise, time-varying delays, and Markovian switching. By utilizing the nonnegative semimartingale convergence theorem (NSCT), the neutral Ito formula, M-matrix method, and selecting appropriate Lyapunov function, several stability criteria for SNCGNNs are derived. Additionally, the upper bounds of the coefficients at any mode are given based on the M-matrix theory. Finally, two examples and numerical simulations validate the correctness of the proposed stability criteria.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Xiaobin Gao, Feiqi Deng, Hongyang Zhang, Pengyu Zeng
Summary: This article addresses the neural-network based state estimation issue of Markov jump systems subject to communication protocols and deception attacks. Two types of scheduling protocols, Round-Robin (RR) protocol and weighted try-once-discard (WTOD) protocol, are used to coordinate the transmission sequence. A hidden Markov-like model is proposed to characterize the relationship between the malicious signal and system mode. A novel adaptive neural state estimator is presented to reconstruct the system states. Sufficient conditions under two different scheduling protocols are derived to ensure the ultimately boundedness of the estimate error, considering the influence of deception attacks. Simulation results validate the correctness of the proposed adaptive neural estimator design method in this article.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Yongjia Huang, Feiqi Deng, Fangzhe Wan
Summary: This paper investigates the stabilization problem for continuous-time stochastic systems with multiple delays under continuous event-triggered mechanisms. Both static and dynamic cases are considered individually. A suspension time is introduced after each successful execution to avoid zeno phenomenon, resulting in intermittent detection of system states. Under such control strategy, mean square exponential stability of stochastic systems with multiple delays is deduced by means of Hanalay-type inequality. A delay-dependent-based and less-conservative stabilization criterion without involving the upper bound of time delays is obtained. A co-design procedure is proposed for linear controller and event-triggered mechanisms. An illustrative example is presented to demonstrate the effectiveness of the proposed co-design procedure and compare the system performance under static and dynamic event-triggered mechanisms.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Xiongding Liu, Feiqi Deng, Xueyan Zhao, Wu Wei
Summary: This article studies the problem of second-order formation tracking with multiple leaders using intermittent control scheme in stochastic multi-agent networked systems. By considering switching topology and time-varying transmission delay, a formation tracking control protocol is proposed. The mean square stability conditions for formation tracking with multiple leaders are obtained using algebraic graph theory, stochastic systems theory, Lyapunov theory, and Halanay inequality. The proposed intermittent control strategy and stability analysis method alleviate the computation resources of the controller.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Yuanyuan Sun, Feiqi Deng, Yongjia Huang, Peilin Yu
Summary: This paper addresses the event-triggered stabilization of switching systems with persistent dwell time (PDT) using dynamic input quantization. The co-design of the event-triggered mechanism, zoom variable, and PDT switching condition is achieved to eliminate the effect of asynchrony and quantization errors on stability. The proposed method includes the design of the zoom variable update law based on PDT properties, consideration of asynchrony in stability analysis, and the proposal of a common lower bound for the triggered interval to eliminate Zeno behavior. Numerical simulation verifies the validity of the method.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Xiaohua Liu, Feiqi Deng, Pengyu Zeng, Xiaobin Gao, Xueyan Zhao
Summary: This paper focuses on sampled-data resilient control for stochastic nonlinear CPSs under denial-of-service (DoS) attacks. The DoS attacks are described and considered in the stochastic nonlinear CPSs under the sampled-data control scheme. A new switching stochastic nonlinear closed-loop system is established under a full-state feedback controller, considering the influence of DoS attack. The paper provides sufficient conditions for mean square exponential stability of the obtained closed-loop system using the piecewise Lyapunov functional method, and gives criteria for designing controller parameters. An example is provided to validate the effectiveness of the proposed results.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Automation & Control Systems
Yuanyuan Sun, Feiqi Deng, Peilin Yu
Summary: This paper presents a new asynchronous control scheme for continuous-time Markov jump linear systems (MJLSs). The controlled system and quantizer are asynchronous with the controller due to the stochastic process by which the controller can accurately observe and emit the switching signal. A random variable satisfying Bernoulli distribution is introduced to describe this observation. Two methods based on linear matrix inequality (LMI) are proposed to obtain sufficient conditions for exponential almost sure stability and almost surely asymptotically stability, respectively. These results are independent of the asynchronous time interval. Finally, a numerical example is provided to validate the developed theoretical results.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Xinyun Yu, Feiqi Deng, Fangzhe Wan, Yongjia Huang
Summary: This paper investigates hybrid stochastic delay differential equations (SDDEs) with asynchronous switching and discrete observations. It examines the feasibility of the discrete-time approach for nonlinear hybrid SDSs, which has not been discussed before. By utilizing stochastic analysis tools, constructing Lyapunov functional, and employing the discrete-time approach, the study obtains the stability of hybrid SDSs through discrete-time feedback control. A numerical example is presented to validate the theoretical findings.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Ze-Hao Wu, Hua-Cheng Zhou, Feiqi Deng, Bao-Zhu Guo
Summary: In this article, a novel control strategy, disturbance observer-based control, is applied to stabilize and reject disturbances in an antistable stochastic heat equation with boundary actuation and unknown external disturbance. The control design uses a disturbance observer to estimate and reject the unknown disturbance, and attenuates the in-domain multiplicative noise. The stability of the resulting closed-loop system is demonstrated. A numerical example validates the effectiveness of the proposed control approach.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Computer Science, Artificial Intelligence
Xiaobin Gao, Feiqi Deng, Pengyu Zeng, Hongyang Zhang
Summary: This article investigates the neural network-based event-triggered control problem in discrete-time networked Markov jump systems with hybrid cyberattacks and unmeasured states. The event-triggered mechanism and Luenberger observer are employed to reduce communication load and estimate unmeasured states. Different types of cyberattacks are considered, and the control methods are designed accordingly. The gains for the observer and controller are obtained by solving a set of matrix inequalities.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Fangzhe Wan, Feiqi Deng, Xiongding Liu, Peilin Yu
Summary: In this article, the problem of aperiodically intermittent control for neutral stochastic delay systems is studied based on discrete observations. An auxiliary system is introduced to overcome the difficulty caused by intermittent control, and an upper bound of the observation period is obtained using the Lyapunov function method. The article also provides a method to design an aperiodically intermittent controller and obtains a lower bound of duty cycle for fixed control frames. The importance of the proposed results is demonstrated through a numerical example, an application, and a comparison.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Linna Liu, Feiqi Deng
Summary: This article focuses on the stability and stabilization of nonlinear hybrid stochastic systems. It introduces the concepts of synchronous and asynchronous switching parameters, establishes stability criteria and matrix equations, and proposes new initial conditions for nonlinear stochastic systems.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Mingang Hua, Fan Zhang, Feiqi Deng, Juntao Fei, Hua Chen
Summary: This article addresses the H-8 filtering problem for discrete-time periodic Markov jump systems with quantized measurements and packet loss compensation. A new packet loss compensation strategy is proposed to deal with the phenomenon of degraded system performance or instability caused by packet loss. A static logarithmic quantizer with mode-dependent property is used to quantize the measured output, taking into account the limited communication channel. A quantized periodic filter, which is partially mode-dependent, is constructed to ensure the stochastic stability of the filtering error system. The existence conditions of periodic filter are presented by constructing a periodic Lyapunov function with mode-dependent property. A practical example of a boost converter is presented to illustrate the usefulness of the proposed approach.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Engineering, Electrical & Electronic
Bo Zhang, Liangyi Cai, Feiqi Deng, Shengli Xie
Summary: This paper introduces the stabilization by aperiodically intermittent sampling stochastic noise as a new method for solving the consensus problem of a class of homogeneous multi-agent systems. It designs a multiplicative noise as a control input to stabilize the error system of the multi-agents. The average noise control rate is used to estimate the working time of the intermittent noise, while a novel piecewise analysis technique is adopted to estimate the mean square of the error state. The sufficient criteria for the stability of the error system are obtained.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Automation & Control Systems
Yuanyuan Sun, Feiqi Deng, Peilin Yu
Summary: This paper investigates the problem of event-triggered control of stochastic nonlinear delayed systems with state quantization. An event-triggered mechanism and state quantization are introduced in the control scheme to reduce the communication burden and computational cost while ensuring the stability of the closed-loop system. Both static and dynamic event-triggered mechanisms are proposed, allowing for the adjustment of parameters and selection of suitable configurations to reduce communication times and enhance resource conservation.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
