Article
Automation & Control Systems
Shenyu Liu, Antonio Russo, Daniel Liberzon, Alberto Cavallo
Summary: This article studies the integral-input-to-state stability (iISS) of nonlinear switched systems with jumps, demonstrating examples where iISS is not always preserved under slow switching, and presenting sufficient conditions for the preservation of iISS under slow switching.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Computer Science, Artificial Intelligence
Cui-Li Jin, Rui Wang, Qing-Guo Wang, Di Wu
Summary: This article proposes a method for stabilizing switched Takagi-Sugeno fuzzy systems by using stabilizing switching behavior. Unlike existing literature, the article introduces a stabilizing-switching-dependent average dwell-time method to overcome the limitation of noncoexistence between dwell-time-dependent and dwell-time-independent destabilizing switching behavior. Stability criteria are established by balancing the state divergence caused by the unstable mode and the destabilizing switching behavior with the stabilizing switching behavior. The results are applicable to situations where all modes are unstable and can be used for state feedback controller design, relaxing the stabilization assumption for the fuzzy system's mode.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Huijuan Li
Summary: This paper investigates the asymptotic stability of time-varying switched systems and proposes less conservative sufficient criteria for asymptotic stability of time-varying discrete-time switched systems using common indefinite difference Lyapunov functions and multiple indefinite difference Lyapunov functions. The common indefinite difference Lyapunov functions can be used to analyze the stability of a switched system with asymptotically stable subsystems and arbitrary switching signals, while the multiple indefinite difference Lyapunov functions can be used to investigate the stability of a switched system with unstable subsystems and a given switching signal. The proposed Lyapunov function may have positive differences at some instances for an asymptotically stable subsystem. These main results are compared and the effectiveness of the obtained theorems is illustrated through three numerical examples.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Article
Automation & Control Systems
Qian Liu, Yong He, Chongyang Ning
Summary: This article investigates the pth moment input-to-state stability and the pth moment integral input-to-state stability of stochastic systems with Markovian switching. Sufficient conditions are provided using indefinite multiple Lyapunov functions (iMLFs) with a time-varying sojourn time condition. The criteria quantify the stability of each individual subsystem with time-varying infinitesimal generator of Lyapunov function, allowing generators to be positive in some intervals.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Engineering, Electrical & Electronic
Junfeng Zhang, Tarek Raissi, Xuanjin Deng
Summary: This paper investigates the stability of nonlinear positive time-varying systems using the Krasovskii functional and Razumikhin function. The indefinite functional and function are proposed to allow nondecreasing time derivatives. It is shown that these indefinite functionals and functions are less conservative than existing definite ones.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Automation & Control Systems
Alexander Aleksandrov, Natalya Andriyanova, Denis Efimov
Summary: This article investigates the stability of switched time-delay Persidskii systems, considering both synchronous and asynchronous commutation. A comparison of stability conditions obtained using Lyapunov-Razumikhin and Lyapunov-Krasovskii approaches is provided. The developed theory is then applied to analyze the stability of mechanical systems with linear velocity forces and switched nonlinear positional forces.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Computer Science, Information Systems
Peilin Yu, Feiqi Deng, Xueyan Zhao, Yuanyuan Sun
Summary: This paper investigates the input-to-state stability and integral input-to-state stability of stochastic delayed switching systems with Levy noise and input control. The paper proposes stability conditions and solution methods for both synchronous and asynchronous switching situations.
SCIENCE CHINA-INFORMATION SCIENCES
(2023)
Article
Mathematics
Wei Hu
Summary: This paper investigates the pth moment exponential stability of impulsive stochastic delay systems with Markovian switched delay effects. By using mathematical theories and methods, a criterion for the stability of the system is derived, and an example is provided to illustrate the effectiveness of the obtained result.
Article
Automation & Control Systems
Xiaodi Li, Dan Yang
Summary: This article investigates the problem of globally exponential stability for a class of nonlinear impulsive switched systems. The results show that both impulse action and state-dependent switching action can contribute to the stability of the systems, depending on the frequency of impulses and the stability of the continuous dynamics.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Engineering, Electrical & Electronic
Xueying Ding, Jianquan Lu, Xiangyong Chen, Yang Liu
Summary: This paper investigates the stabilization of switched logical networks (SLNs) under the asynchronous switching controller. The study considers the asynchronous switching phenomenon, where the operating subsystem does not match the controller mode due to non-ideal conditions. The aim is to find suitable conditions for SLN stabilization under the asynchronous switching controller. By combining the Lyapunov method and mode-dependent average dwell time method, a sufficient criterion is proposed for the stabilization of SLNs. The obtained results are also extended to SLNs with logical switching. An example of lac operon in E. coli is provided to validate the results.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Engineering, Electrical & Electronic
Zhiwen Fu, Shiguo Peng
Summary: This paper considers weakly and strongly input-to-state stability (ISS) of a discrete-time time-varying delayed system with synchronous impulses and switches. ISS criteria are derived using the Krasovskii and Razumikhin techniques, with the time differences of the Krasovskii functionals or the Razumikhin functions being mode-dependent and time-varying. The derived ISS criteria are applied to multi-agent systems (MASs), and two examples are given to verify the established results.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Engineering, Electrical & Electronic
Tao Sun, Rui Wang, Lijun Zhang, Xudong Zhao
Summary: In this paper, a fastly and slowly cyclic switching approach is proposed for stabilizing a class of discrete-time cyclic switched systems with unstable modes. The paper derives stability criteria for both nonlinear and linear systems with unstable subsystems, and presents tighter upper and lower limits for the running time of the system. The paper also provides a stability corollary for systems with all stable subsystems. Simulation results demonstrate the potential and efficiency of the proposed techniques.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Automation & Control Systems
Matteo Della Rossa, Lucas N. Egidio, Raphael M. Jungers
Summary: The dynamical behavior of switched affine systems is more complex than that of switched linear systems due to the presence of distinct equilibrium points for each subsystem. We provide a novel proof technique for existence and outer approximation of attractive invariant sets of a switched affine system. For systems with dwell-time switching signals, more general notions of stability/boundedness are introduced.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2023)
Article
Engineering, Electrical & Electronic
Haixia Wang, Yue-E Wang, Di Wu
Summary: This article focuses on the event-triggered control problem of a class of switched linear systems, where the controller only updates the sampled information of the system states and switching signal at the moment of event triggering. To address the issue of asynchronous switching behavior, a new periodic-sampled switching event-triggered mechanism is proposed, which introduces a relative threshold function and an asynchronous related jump function. Based on the multiple Lyapunov functional technique and average dwell time method, sufficient conditions for global uniform exponential stability of the closed-loop system are presented, along with solvability conditions for the co-design of the switching signal and event-triggered controller. Two numerical examples are provided to demonstrate the effectiveness of the proposed method.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Automation & Control Systems
Shuai Yuan, Maolong Lv, Simone Baldi, Lixian Zhang
Summary: This article investigates the stability of continuous-time switched linear systems with dwell-time constraints using novel stability conditions that lead to a unique Lyapunov function. The proposed analysis is applied to the problem of adaptive control of switched linear systems with parametric uncertainties, achieving the same dwell time as existing research while simplifying computational complexity.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Junfeng Zhang, Gang Zheng, Yinggang Feng, Yun Chen
Summary: This article proposes event-triggered state-feedback and dynamic output-feedback control methods for positive Markovian jump systems with intermittent actuator and sensor faults. An independent Markovian process is used to establish the mathematical model of intermittent faults. An event-triggering condition based on 1-norm is proposed for implementing the event-triggered scheme. Stochastic copositive Lyapunov functions are used to design event-triggered state-feedback controllers. A matrix decomposition approach is used to propose an event-triggered dynamic output-feedback controller. The validity of the proposed design is verified through an example.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Chenxu Jiao, Junfeng Zhang, Xianglei Jia, Suhuan Zhang
Summary: This paper focuses on the event-triggered control of positive switched systems with randomly occurring state saturation. A vector-based event-triggering condition is established, and interval and polytope approaches are used to address the positivity, stability, and saturation of the systems. An event-triggered controller and its corresponding domain of attraction are designed using a decomposition approach for the gain matrix. This approach is applicable to systems with input saturation. Two examples are provided to demonstrate the effectiveness of the proposed design.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2023)
Article
Automation & Control Systems
Junfeng Zhanga, Suhuan Zhang, Tarek Raissic
Summary: This paper focuses on the event-triggered filter design of positive semi-Markovian jump systems with Weibull distribution. A linear programming-based approach is proposed to design the filter that considers the random uncertainty and sensor fault. By establishing an event-triggering condition, the filtering error system is transformed into an interval system. The proposed design ensures the stochastic stability and bounded performance of the filtering error system.
EUROPEAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Youdao Ma, Zhenhua Wang, Nacim Meslem, Tarek Raissi, Yi Shen
Summary: This article investigates actuator fault diagnosis for continuous-time systems with unknown but bounded uncertainties. A novel interval-based adaptive threshold computation approach is proposed for residual evaluation. Meanwhile, peak-to-peak performance is applied to generate robust residuals against system uncertainties. By integrating the designed peak-to-peak residual generator with adaptive thresholds, promising fault detection results can be achieved. Furthermore, based on the general observer scheme, the proposed residual generator and adaptive thresholds can be equally used for fault isolation. Simulation results are given to illustrate the effectiveness and superiority of the proposed fault detection and isolation method.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2023)
Article
Automation & Control Systems
Shitao Zhang, Junfeng Zhang, Xianglei Jia, Peng Lin
Summary: This paper investigates the event-triggered nonlinear filter (ETNF) problem of switched nonlinear positive systems (SNPSs) under asynchronous switching. The nonlinearities of the systems are distributed in several sector fields. By considering the subsystems and corresponding filters in the matched and mismatched time intervals, augmented filter error systems are established based on a 1-norm inequality-based event-triggering condition. Multiple copositive Lyapunov functions (MCLFs) associated with an average dwell time (ADT) switching are employed. A nonlinear asynchronous filter based on event-triggering mechanism is constructed using matrix decomposition technique to handle nonlinear disturbances. The novelties include: (i) construction of a nonlinear filter for SNPSs, (ii) introduction of a linear programming (LP)-based filter gain design approach, and (iii) development of an event-triggering mechanism for SNPSs. Finally, an example is presented to verify the effectiveness of the proposed results.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Automation & Control Systems
Wenhan Zhang, Zhenhua Wang, Tarek Raissi, Yi Shen
Summary: This paper introduces a novel fault detection method for Takagi-Sugeno fuzzy systems through multiple observer design and ellipsoidal analysis. The original system is divided into a limited number of fault modes by considering one fault distribution matrix at a time. For each fault mode, an observer is designed to generate the residual signal with finite-frequency fault sensitivity performance and full-frequency unknown inputs robustness performance. Ellipsoidal analysis is employed to evaluate the residual and provide a fault detection index for each mode. The fault detection result is obtained by combining the multiple indices using logical operation. Numerical simulations and experiments on an AC servo motor platform validate the viability and effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Mathematics
Lanai Huang, Xudong Zhao, Fengyu Lin, Junfeng Zhang
Summary: This paper proposes two classes of functional and disturbance observers for positive systems, which can estimate structural and non-structural disturbances respectively. First, a positive functional observer is introduced by estimating disturbances. Then, a positive disturbance observer is designed to estimate disturbances in the functional observer. Finally, a new unknown input observer is constructed for positive systems using matrix decomposition method and linear programming.
Article
Automation & Control Systems
Jitao Li, Zhenhua Wang, Yujia Wang, Mingjun Zhang, Tarek Raissi
Summary: This letter addresses the problem of interval velocity estimation for unmanned underwater vehicles subject to multiple model uncertainties. An adaptive mechanism is introduced to handle large initial bounds on uncertainties. The H-infinity approach is utilized in the design of an interval observer to minimize the impact of uncertainties. Linear matrix inequalities are formulated as sufficient design conditions. Simulation results demonstrate the effectiveness of the proposed method.
IEEE CONTROL SYSTEMS LETTERS
(2023)
Article
Computer Science, Information Systems
Jun Huang, Haoran Zhang, Tarek Raissi
Summary: This article focuses on the study of distributed interval estimation for networked multiagent systems. The article proposes two methods for constructing distributed interval observers, one combining H-infinity technique with reachability analysis and the other employing the monotone system theory. Two examples are used to compare the effectiveness of the two methods.
IEEE SYSTEMS JOURNAL
(2023)
Article
Automation & Control Systems
Hao Liu, Yuzhe Li, Qing-Long Han, Tarek Raissi
Summary: In this article, a novel proactive attack defense strategy is proposed for dealing with the secure remote estimation issue in cyber-physical systems with unknown-but-bounded noises in the presence of man-in-the-middle attacks. The proposed strategy includes time-varying and secret data processes and watermark to guarantee the detection rate, and it can be applied to detect replay attacks. Four different attack scenarios are discussed in the analysis of the detection ability of the defense approach. The effectiveness of the proposed proactive defense strategy is illustrated through the example of an unmanned aircraft system subject to malicious attacks.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Xiaoyue Zhou, Junfeng Zhang, Xianglei Jia, Di Wu
Summary: This paper investigates the proportional-integral-derivative (PID) control of positive systems in the discrete-time case. The main contribution lies in that linear programming associated to the matrix decomposition approach is first presented to handle the PID control of positive systems. Two illustrative examples are provided to verify the effectiveness of the proposed design.
IET CONTROL THEORY AND APPLICATIONS
(2023)
Article
Automation & Control Systems
Junfeng Zhang, Suhuan Zhang, Gang Zheng
Summary: This paper presents a new hybrid dynamic event-triggered control framework for positive Markovian jump systems, addressing actuator fault in continuous- and discrete-time contexts. The framework introduces a new triggering mechanism consisting of dynamic and static event-triggering conditions. It also utilizes an interval approach to obtain the lower and upper bounds of the original system for control design. The proposed nonfragile controller ensures stochastic stability of the continuous-time system with actuator fault.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Wenhan Zhang, Zhenhua Wang, Tarek Raissi, Rong Su
Summary: In this paper, a novel ellipsoid-based framework is proposed for fault estimation and remaining useful life prognosis. The framework consists of three steps: actuator fault interval estimation, parameter estimation using an ellipsoid-based extended Kalman filter, and prediction of future degradation states. Numerical simulations were conducted to verify the viability and validity of the approach.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Junfeng Zhang, Shitao Zhang, Xuanjin Deng, Zhong Huang
Summary: This paper proposes an improved adaptive event-triggering mechanism to design the dynamic output-feedback controller of switched positive systems subject to switching faults. An adaptive event-triggering condition is addressed in the form of 1-norm by utilizing the measurable outputs of distributed sensors and the corresponding error. A multiple copositive Lyapunov function is constructed to ensure the positivity and stability of the systems. The controller and observer gains are designed and computed using matrix decomposition and linear programming approaches. An improved average dwell time scheme is proposed to handle the switching faults. The contributions of this paper lie in establishing an adaptive event-triggering mechanism for switched positive systems, constructing a framework for the fault of switching signal, and proposing a dynamic distributed controller for the considered systems. Two illustrative examples are provided to verify the effectiveness of the obtained results.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Article
Environmental Sciences
Yongzheng Ma, Yang Liu, Xiaona Liu, Mang Li, Jing Cui, Zhizhong Guan, Junrui Pei, Yanhui Gao
Summary: This study investigated the relationship between fluoride exposure and the prevalence of Osteochondroma (OC). The study found that the prevalence of OC was 2.3% in the drinking water endemic fluorosis areas of Heilongjiang Province, China, with no gender difference. Logistic regression analysis revealed that participants with higher water fluoride levels had a lower prevalence of OC, while participants with higher urinary fluoride levels had a higher prevalence of OC. Further research is needed to fully understand the complex link between fluoride and OC prevalence in a larger population.
INTERNATIONAL JOURNAL OF ENVIRONMENTAL HEALTH RESEARCH
(2023)
