Article
Automation & Control Systems
Yihang Kong, Xinghui Zhang, Enyong Liu, Ancai Zhang, Jianlong Qiu
Summary: This research addresses the problem of finite-time tracking error constrained control for a class of non-strict stochastic nonlinear systems with unknown time-varying powers and multiple power terms. Based on the conversion from constrained tracking error to an unconstrained signal with the same effect, by adopting the backstepping technique together with adaptive neural network control, a controller with upper and lower time-varying power bounds is designed to meet the prescribed performance control scheme in finite-time. Finally, two simulation examples are shown to verify the effectiveness of the commendatory control method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Mathematics, Applied
Lichao Feng, Lei Liu, Jinde Cao, Fawaz E. Alsaadi
Summary: This article introduces a feedback control method based on delayed state observations, which can stabilize nonlinear hybrid systems. Through multiple Lyapunov functionals, stabilization can be achieved not only in the forms of H infinity stability and exponential speed but also of polynomial speed and general speed.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Automation & Control Systems
Wenbin Chen, Shengyuan Xu, Ze Li, Yongmin Li, Zhengqiang Zhang
Summary: This paper aims to analyze the exponentially admissibility of neutral singular systems (NSSs) with mixed interval time-varying delays, presenting a new Lyapunov-Krasovskii functional and acquiring a novel delay-dependent exponentially admissibility criterion with specific methods. Numerical examples show the effectiveness and superiority of the method, while the study of application models demonstrates the practical significance of the research.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Tao Yu, Junlin Xiong
Summary: This paper investigates the event-triggered P2-gain control issues for time-delay networked control systems with a round-robin protocol. The adoption of round-robin protocol and event-triggered strategy can alleviate the burden of network transmission and save network resources and bandwidth. By establishing appropriate Lyapunov functional and matrix inequalities, sufficient conditions for stability and P2-gain are derived. An iterative algorithm is then presented to design the controllers and achieve the minimal P2-gain. Two examples are conducted to validate the effectiveness and benefits of the proposed results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Danhong Chen, Yunfei Peng
Summary: In this paper, a novel state-dependent switching controller with delayed positive partial state feedback is proposed for stabilizing a controlled system with insufficient state information. The controlled system is transformed into a single-degree-of-freedom vibrational system, and appropriate control gain parameters and a state-dependent switching rule are designed based on the physical meaning of the resulting vibrational system. By combining the advantages of delayed positive position feedback with the state-dependent switching mechanism, the time delay significantly improves the asymptotic stability of the controlled system. Three numerical examples demonstrate the effectiveness of the proposed controller and the positive role of time delay in switched control systems.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Automation & Control Systems
Lin Lin, Jie Zhong, Shiyong Zhu, Jianquan Lu
Summary: In this study, a general partial synchronization method for a specific type of Boolean control networks is proposed for the first time, and it is achieved through sampled-data feedback control. Unlike previous synchronization methods, this approach requires the total number of synchronized nodes to exactly maintain a fixed value within a finite number of steps, and it eliminates the need for predetermined synchronized nodes.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Mengmeng Gao, Junsheng Zhao, Wei Sun
Summary: This paper considers the stochastic H2/H∞ control problem for Poisson jump-diffusion system driven by Brownian motion and Poisson process. A mean-field stochastic bounded real lemma (SBRL) and sufficient conditions for the solvability of Poisson jump-diffusion linear quadratic (LQ) optimal control of mean-field type are derived. The existence conditions for mean-field stochastic H2/H∞ control are established by solving the coupled matrix value equation, and the effectiveness of the theory is demonstrated through a recursive algorithm example.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Han Dong, Shaosheng Zhou
Summary: This paper investigates the problems of stochastic admissibility and extended dissipativity analysis, as well as state feedback controller design, for interval type-2 singular systems with nonhomogeneous Markovian switching. A novel lemma is proposed for developing the state feedback controller, and simulation examples are provided to validate the effectiveness of the proposed approach.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Xueyan Zhao, Feiqi Deng
Summary: This article reveals an interesting phenomenon about time delays in control systems, showing that systems can remain stable even with large and intermittent or unbounded variable time delays. The investigation combines theoretical analysis and case studies using stochastic system models. The stability of the systems is the main focus, and the explicit consideration of time delays in stability criteria is crucial. A series of lemmas and a new type of stability theorem are established, along with a stability criterion with time delays as explicit parameters. The Lyapunov function method is applied for less restriction and conservativeness. The mechanism and approach behind this phenomenon are analyzed, and numerical experiments are conducted to verify the obtained results.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Lucas T. F. de Souza, Marcia L. C. Peixoto, Reinaldo M. Palhares
Summary: This paper investigates stability and state-feedback control design for linear parameter-varying systems with time-varying delays. The new conditions for stability and control design are based on Lyapunov theory and Linear Matrix Inequalities. The proposed methodology employs a parameter-dependent Lyapunov-Krasovskii functional and handles the time-derivative using integral inequalities for quadratic functions. The main results include a novel stability condition for delay-dependent systems and a new condition for designing gain-scheduled state-feedback controllers. An example based on a real-world problem is provided to demonstrate the effectiveness of the proposed method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Tomas Menard, Emmanuel Bernuau, Emmanuel Moulay, Patrick Coirault
Summary: In this article, a new observer design is proposed for systems with aperiodic and asynchronous sampling of the output, assuming the availability of a continuous-time homogeneous observer of negative degree. The proposed method adapts the existing continuous-time observer to handle sampled measurements instead of continuous ones. The obtained observer error is globally uniformly ultimately bounded for any upper bound on the sampling periods, and the ultimate bound decreases as the upper bound on the sampling periods decreases. The stability analysis is based on a Lyapunov approach and the performances of the proposed observer are illustrated with simulations.
Article
Mathematics
Jiabao Gu, Hui Wang, Wuquan Li, Ben Niu
Summary: This paper investigates the adaptive state-feedback stabilization problem for stochastic nonlinear systems. A new control method is proposed and its feasibility is verified through examples.
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
Pham T. Huong, Vu N. Phat
Summary: In this paper, an efficient approach based on SVD and Lyapunov function methods is proposed to study the finite-time stability of linear singular large-scale complex systems with interconnected delays. The new delay-dependent conditions are presented in the form of a feasibility problem involving LMIs, and a numerical example is provided to demonstrate the validity of the results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Meng Zhang, Quanxin Zhu
Summary: This article extends the finite-time input-to-state stability (FTISS) to switched stochastic time-varying nonlinear systems with time delays, and analyzes the conditions for obtaining input-state stability of nonlinear switched stochastic delayed systems in the framework of finite time using the methods of comparison principle and average dwell-time approach.
CHAOS SOLITONS & FRACTALS
(2022)
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
Mathematics, Applied
Linna Liu, Feiqi Deng, Boyang Qu, Jianyin Fang
Summary: This paper discusses the general decay stability of the backward Euler-Maruyama method for stochastic integro-differential equations (SIDEs). Sufficient conditions are proposed to obtain the general decay stability, which includes the characteristics of generalized stability.
APPLIED MATHEMATICS LETTERS
(2023)
Article
Automation & Control Systems
Tianliang Zhang, Feiqi Deng, Peng Shi
Summary: This article investigates the problem of nonfragile finite-time stabilization for linear discrete mean-field stochastic systems. The uncertainties in control parameters are assumed to be random variables following the Bernoulli distribution. A new approach called the state-transition matrix method is introduced, and necessary and sufficient conditions are derived to solve the stabilization problem. The Lyapunov theorem based on the state-transition matrix also contributes to the theory of discrete finite-time control. A practical example is provided to validate the effectiveness of the newly proposed control strategy.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Engineering, Electrical & Electronic
Rongling Yu, Ping He, Heng Li, Jiannong Cao, Feiqi Deng
Summary: This article investigates the consensus problem of linear multi-agent systems (MASs) with unknown external disturbances under intermittent communication. Firstly, the distributed extended observer is utilized to observe the relative output information and unknown disturbance. Then, a distributed active disturbance rejection intermittent consensus protocol is proposed using the observer information. Finally, a simulation example is provided to demonstrate the effectiveness of the consensus protocol.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(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
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
Computer Science, Cybernetics
Xiaojing Zhong, Yukun Yang, Feiqi Deng, Guiyun Liu
Summary: This study investigates the intermittent control of a rumor propagation system with anti-rumor mechanism. It examines the interaction with the anti-rumor mechanism, including the existence and stability of two boundary equilibriums, as well as the conditions for bistability behavior. Deterministic and stochastic control strategies with aperiodically intermittent control time are designed to combat rumor spreading. The minimum control intensities, related to the control ratio and system parameters, are obtained.
IEEE TRANSACTIONS ON COMPUTATIONAL SOCIAL SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Lunan Zheng, Weiqi Yu, Zongqing Xu, Zhijun Zhang, Feiqi Deng
Summary: A novel discrete error redefinition neural network (D-ERNN) is proposed in this paper to solve time-varying quadratic programming problems. Compared with traditional neural networks, the proposed network demonstrates superior performance in terms of convergence speed, robustness, and overshoot. The article also analyzes and proves the reliability of the network by discussing parameter selection and step size. Additionally, the discretization of ERNN and its comparison with other related neural networks are presented.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Shixian Luo, Qinghua Zhong, Yan Jiang, Feiqi Deng, Zhipei Hu
Summary: This paper proposes a systematic framework for stability and guaranteed cost control of linear impulsive systems subject to random time- and event-triggering impulses. The proposed event-triggered controller is shown to guarantee at least the same quadratic performance function bound as the designed time-triggered guaranteed cost controller, but with a larger, or at most equal, average inter-transmission time. In addition, a stochastic dynamic event-triggered control strategy is proposed to solve sampled-data control systems in the presence of sporadic measurements or stochastic sampling.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(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)
