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IEEE/CAA Journal of Automatica Sinica 2019年第3期6卷 859-864页

作者： Cuihong Wang Yafei Zhao YangQuan Chen IEEE the Department of Mathematics and Computer Science Shanxi Normal University the mechatronics Embedded Systems and Automation(MESA) Lab

This paper is concerned with fundamental properties of a class of composite systems with fractional degree generalized frequency variables, including controllability, observability and stability. Firstly, some necessary and sufficient conditions are given to guarantee controllability and observability of such composite systems. Then we prove that the stability problem of such composite systems can be reduced to judging whether a fractional degree polynomial is stable. Finally, the stability analysis result is applied in the supervisory control of fractional-order multi-agent systems, and an example is provided to illustrate the effectiveness of the proposed methods.

关键词： Composite system controllability fractionalorder system observability stability

A Fractional Micro-Macro Model for Crowds of Pedestrians Based on Fractional Mean Field Games

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IEEE/CAA Journal of Automatica Sinica 2016年第3期3卷 261-270页

作者： Kecai Cao Yang Quan Chen Daniel Stuart College of automation Nanjing University of Posts and Telecommunications IEEE mechatronics embedded systems and automation lab School of Engineering University of California Department of Electrical and Computer Engineering Utah State University

Modeling a crowd of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation law of mass. Then in order to characterize the competitive and cooperative interactions among pedestrians, fractional mean field games are utilized in the modeling problem when the number of pedestrians goes to infinity and fractional dynamic model composed of fractional backward and fractional forward equations are constructed in macro scale. Fractional micromacro model for crowds of pedestrians are obtained in the end. Simulation results are also included to illustrate the proposed fractional microscopic model and fractional macroscopic model, respectively. © 2014 Chinese Association of automation.

关键词： Control systems Electrical engineering

Cyber-Physical systems as General Distributed Parameter systems:Three Types of Fractional Order Models and Emerging Research Opportunities

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IEEE/CAA Journal of Automatica Sinica 2015年第4期2卷 353-357页

作者： Fudong Ge YangQuan Chen Chunhai Kou College of Information Science and Technology Donghua University mechatronics Embedded Systems and Automation Lab University of California Department of Applied Mathematics Donghua University

Cyber-physical systems (CPSs) are man-made complex systems coupled with natural processes that, as a whole, should be described by distributed parameter systems (DPSs) in general forms. This paper presents three such general models for generalized DPSs that can be used to characterize complex CPSs. These three different types of fractional operators based DPS models are: fractional Laplacian operator, fractional power of operator or fractional derivative. This research investigation is motivated by many fractional order models describing natural, physical, and anomalous phenomena, such as sub-diffusion process or super-diffusion process. The relationships among these three different operators are explored and explained. Several potential future research opportunities are then articulated followed by some conclusions and remarks. © 2014 Chinese Association of automation.

关键词： Laplace equation Laplace transforms Mathematical operators

Cyber-physical Modeling and Control of Crowd of Pedestrians:A Review and New Framework

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IEEE/CAA Journal of Automatica Sinica 2015年第3期2卷 334-344页

作者： Kecai Cao Yangquan Chen Dan Stuart Dong Yue the College of automation Nanjing University of Posts and Telecommunications mechatronics embedded systems and automation laboratory School of EngineeringUniversity of California the Department of Electrical and Computer Engineering Utah State University

Recent advances in modeling and control of crowd of pedestrians are briefly surveyed in this paper. Possibilities of applying fractional calculus in the modeling of crowd of pedestrians have been shortly reviewed and discussed from different aspects such as descriptions of motion, interactions of long range and effects of memory. Control of the crowd of pedestrians have also been formulated using the framework of cyber-physical systems and been realized using networked Segways with onboard emergency response personnels to regulate the velocity and flux of the crowd. Platform for verification of the theoretical results are also provided in this paper. © 2014 Chinese Association of automation.

关键词： Calculations embedded systems

An Improved Cooperative Team Spraying Control of a Diffusion Process With a Moving or Static Pollution Source

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IEEE/CAA Journal of Automatica Sinica 2020年第2期7卷 494-504页

作者： Juan Chen Baotong Cui Yang Quan Chen Bo Zhuang Key laboratory of Advanced Process Control for Light Industry(Ministry of Education)and School of IoT Engineering Jiangnan UniversityWuxi 214122China mechatronics Embedded Systems and Automation LaboratoryUniversity of CaliforniaMerced CA 95343 USA

This paper is concerned with a control problem of a diffusion process with the help of static mesh sensor networks in a certain region of interest and a team of networked mobile actuators carrying chemical *** major contribution of this paper can be divided into three parts:the first is the construction of a cyber-physical system framework based on centroidal Voronoi tessellations(CVTs),the second is the convergence analysis of the actuators location,and the last is a novel proportional integral(PI)control method for actuator motion planning and neutralizing control(e.g.,spraying)of a diffusion process with a moving or static pollution source,which is more effective than a proportional(P)control *** optimal spraying control cost function is ***,the minimization problem of the spraying amount is ***,a new CVT algorithm based on the novel PI control method,henceforth called PI-CVT algorithm,is introduced together with the convergence analysis of the actuators location via a PI control ***,a modified simulation platform called diffusion-mobile-actuators-sensors-2-dimension-proportional integral derivative(Diff-MAS2D-PID)is *** addition,a numerical simulation example for the diffusion process is presented to verify the effectiveness of our proposed controllers.

关键词： Centroidal Voronoi tessellations(CVTs) diffusion processes mobile actuator-sensor networks(MAS-Net) PI control

A class of anomalous diffusion epidemic models based on CTRW and distributed delay

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International Journal of Biomathematics 2023年第7期16卷 249-281页

作者： Zhenzhen Lu Guojian Ren Yangquan Chen Xiangyun Meng Yongguang Yu Department of Mathematics Beijing Jiaotong University Beijing 100044 P.R.China mechatronics Embedded Systems and Automation LabUniversity of California Merced5200 North Lake Road MercedCA 95343USA

In recent years,the epidemic model with anomalous diffusion has gained popularity in the ***,when introducing anomalous diffusion into epidemic models,they frequently lack physical explanation,in contrast to the traditional reaction-diffusion epidemic *** point of this paper is to guarantee that anomalous diffusion systems on infectious disease spreading remain physically ***,based on the continuous-time random walk(CTRW),starting from two stochastic processes of the waiting time and the step length,time-fractional space-fractional diffusion,timefractional reaction-diffusion and fractional-order diffusion can all be naturally introduced into the SIR(S:susceptible,I:infectious and R:recovered)epidemic models,*** three models mentioned above can also be applied to create SIR epidemic models with generalized distributed time *** time delay systems can also be reduced to existing models,such as the standard SIR model,the fractional infectivity model and others,within the proper ***,as an application of the above stochastic modeling method,the physical meaning of anomalous diffusion is also considered by taking the SEIR(E:exposed)epidemic model as an *** methods can be used to build other types of epidemic models,including SIVRS(V:vaccine),SIQRS(Q:quarantined)and ***,this paper describes the transmission of infectious disease in space using the real data of COVID-19.

关键词： Continuous-time random walk time-fractional space-fractional diffusion time-fractional reaction-diffusion fractional-order diffusion distributed time delay

Guest Editorial for Special Issue on Fractional Order systems and Controls

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IEEE/CAA Journal of Automatica Sinica 2016年第4期3卷 255-256页

作者： Yang Quan Chen Dingy Xue Antonio Visiol IEEE mechatronics Embedded Systems and Automation (MESA) Lab School of Engineering University of California School of Information Sciences and Engineering Northeastern University Department of Mechanical and Industrial Engineering University of Brescia

*** FRACTIONAL calculus is about differentiation and integration of non-integer *** integer-order models and controllers for complex natural or man-made systems is simply for our own convenience while the nature runs in a fractional order dynamical *** integer order traditiona tools for modelling and control of dynamic systems may resul in suboptimum performance,that is,using fractional order calculus tools,we could be'more optimal'as already doc-

关键词： Guest Editorial for Special Issue on Fractional Order systems and Controls

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Sliding Mode and PI Controllers for Uncertain Flexible Joint Manipulator

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International Journal of automation and computing 2015年第2期12卷 117-124页

作者： Lilia Zouari Hafedh Abid Mohamed Abid Computer and embedded systems laboratory National School of Sfax EngineersUniversity of Sfax laboratory of Sciences and Techniques of automation (lab-sta) National School of Sfax EngineersUniversity of Sfax

This paper is dealing with the problem of tracking control for uncertain flexible joint manipulator robots driven by brushless direct current motor(BDCM). Flexibility of joint in the manipulator constitutes one of the most important sources of uncertainties. In order to achieve high performance, all parts of the manipulator including actuator have been modeled. To cancel the tracking error, a hysteresis current controller and speed controllers have been developed. To evaluate the effectiveness of speed controllers, a comparative study between proportional integral(PI) and sliding mode controllers has been performed. Finally, simulation results carried out in the Matlab simulink environment demonstrate the high precision of sliding mode controller compared with PI controller in the presence of uncertainties of joint flexibility.

关键词： Flexible joint manipulator uncertainties proportional integral(PI) controller sliding mode brushless direct current motor.

Transportation-cyber-physical-systems-oriented engine cylinder pressure estimation using high gain observer

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Chinese Physics B 2015年第5期24卷 621-626页

作者：李永福寇晓培郑太雄李银国 Center for Automotive Electronics and embedded System College of Automation Chongqing University of Posts and Telecommunications

In transportation cyber-physical-systems （T-CPS）, vehicle-to-vehicle （V2V） communications play an important role in the coordination between individual vehicles as well as between vehicles and the roadside infrastructures, and engine cylinder pressure is significant for engine diagnosis on-line and torque control within the information exchange process under V2V communications. However, the parametric uncertainties caused from measurement noise in T-CPS lead to the dynamic performance deterioration of the engine cylinder pressure estimation. Considering the high accuracy requirement under V2V communications, a high gain observer based on the engine dynamic model is designed to improve the accuracy of pressure estimation. Then, the analyses about convergence, converge speed and stability of the corresponding error model are conducted using the Laplace and Lyapunov method. Finally, results from combination of Simulink with GT- Power based numerical experiments and comparisons demonstrate the effectiveness of the proposed approach with respect to robustness and accuracy.

关键词： transportation cyber-physical-systems high gain observer cylinder pressure estimation vehicle- to-vehicle communications

Inexact proximal gradient algorithm with random reshuffling for nonsmooth optimization

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Science China(Information Sciences) 2025年第1期 219-237页

作者： Xia JIANG Yanyan FANG Xianlin ZENG Jian SUN Jie CHEN National Key lab of Autonomous Intelligent Unmanned systems School of AutomationBeijing Institute of Technology Beijing Institute of Technology Chongqing Innovation Center School of Electronic and Information Engineering Tongji University

Proximal gradient algorithms are popularly implemented to achieve convex optimization with nonsmooth regularization. Obtaining the exact solution of the proximal operator for nonsmooth regularization is challenging because errors exist in the computation of the gradient; consequently, the design and application of inexact proximal gradient algorithms have attracted considerable attention from researchers. This paper proposes computationally efficient basic and inexact proximal gradient descent algorithms with random reshuffling. The proposed stochastic algorithms take randomly reshuffled data to perform successive gradient descents and implement only one proximal operator after all data pass through. We prove the convergence results of the proposed proximal gradient algorithms under the sampling-without-replacement reshuffling *** computational errors exist in gradients and proximal operations, the proposed inexact proximal gradient algorithms can converge to an optimal solution neighborhood. Finally, we apply the proposed algorithms to compressed sensing and compare their efficiency with some popular algorithms.

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