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Chinese Physics Letters 2014年第8期31卷 20-23页

作者：葛红霞孟祥佩朱克强程荣军 FacultyofMaritimeandTransportation NingboUniversityNingbo315200 JiangsuProvinceCollaborativeInnovationCenterforModernUrbanTrafficTechnologies Nanjing210096 NationalTrafficManagementEngineeringandTechnologyResearchCentre NingboUniversityNingbo315211 FoundationCollege NingboDahongyingUniversityNingbo315175 DepartmentofFhndamentalCourse NingboInstituteofTechnologyZhejiangUniversityNingbo315100

A new method is proposed to study the stability of the car-following model considering traffic interruption probability. The stability condition for the extended ear-following model is obtained by using the lyapunov function and the condition for no traffic jam is also given based on the control theory. Numerical simulations are conducted to demonstrate and verify the analytical results. Moreover, numerical simulations show that the traffic interruption probability has an influence on driving behavior and confirm the effectiveness of the method on the stability of traffic flow.

关键词： CONTROL theory (Mathematics) RESEARCH lyapunov functions DIFFERENTIAL equations COMPUTER simulation TRAFFIC flow

Nonlinear Adaptive Robust Force Control of Hydraulic Load Simulator

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Chinese Journal of Aeronautics 2012年第5期25卷 766-775页

作者： YAO Jianyong JIAO Zongxia YAO Bin SHANG Yaoxing DONG Wenbin Science and Technology on Aircraft Control Laboratory Beihang University Beijing 100191 China School of Mechanical Engineering Nanjing University of Science and Technology Nanjing 210094 China School of Mechanical Engineering Purdue Universiiy West Lafayette IN 47907 USA Beijing Aerospace Automatic Control Institute Beijing 100854 China

This paper deals with the high performance force control of hydraulic load simulator. Many previous works for hydraulic force control are based on their linearization equations, but hydraulic inherent nonlinear properties and uncertainties make the conven- tional feedback proportional-integral-derivative control not yield to high-performance requirements. In this paper, a nonlinear system model is derived and linear parameterization is made for adaptive control. Then a discontinuous projection-based nonlin- ear adaptive robust force controller is developed for hydraulic load simulator. The proposed controller constructs an asymptoti- cally stable adaptive controller and adaptation laws, which can compensate for the system nonlinearities and uncertain parame- ters. Meanwhile a well-designed robust controller is also developed to cope with the hydraulic system uncertain nonlinearities. The controller achieves a guaranteed transient performance and final tracking accuracy in the presence of both parametric uncer- tainties and uncertain nonlinearities; in the absence of uncertain nonlinearities, the scheme also achieves asymptotic tracking performance. Simulation and experiment comparative results are obtained to verify the high-performance nature of the proposed control strategy and the tracking accuracy is greatly improved.

关键词： hydraulic load simulator adaptive control robust control nonlinear control hydraulic actuators lyapunov functions

Observer-based Adaptive Optimal Control for Unknown Singularly Perturbed Nonlinear Systems With Input Constraints

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IEEE/CAA Journal of Automatica Sinica 2017年第1期4卷 48-57页

作者： Zhijun Fu Wenfang Xie Subhash Rakheja Jing Na College of Mechanical Engineering Zhejiang University of Technology Department of Mechanical & Industrial Engineering Concordia University Faculty of Mechanical & Electrical Engineering Kunming University of Science & Technology

This paper introduces an observer-based adaptive optimal control method for unknown singularly perturbed nonlinear systems with input constraints. First, a multi-Time scales dynamic neural network MTSDNN observer with a novel updating law derived from a properly designed lyapunov function is proposed to estimate the system states. Then, an adaptive learning rule driven by the critic NN weight error is presented for the critic NN, which is used to approximate the optimal cost function. Finally, the optimal control action is calculated by online solving the Hamilton-Jacobi-Bellman HJB equation associated with the MTSDNN observer and critic NN. The stability of the overall closed-loop system consisting of the MTSDNN observer, the critic NN and the optimal control action is proved. The proposed observer-based optimal control approach has an essential advantage that the system dynamics are not needed for implementation, and only the measured input U+002F output data is needed. Moreover, the proposed optimal control design takes the input constraints into consideration and thus can overcome the restriction of actuator saturation. Simulation results are presented to confirm the validity of the investigated approach. © 2014 Chinese Association of Automation.

关键词： Closed loop systems Cost functions lyapunov functions Neural networks Nonlinear systems Optimal control systems Perturbation techniques

Asymptotic and stable properties of general stochastic functional differential equations

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Journal of Systems Engineering and Electronics 2014年第1期25卷 138-143页

作者： Xiaojing Zhong Feiqi Deng College of Automation Science and Engineering South China University of Technology

The asymptotic and stable properties of general stochastic functional differential equations are investigated by the multiple lyapunov function method, which admits non-negative up-per bounds for the stochastic derivatives of the lyapunov functions, a theorem for asymptotic properties of the LaSal e-type described by limit sets of the solutions of the equations is obtained. Based on the asymptotic properties to the limit set, a theorem of asymptotic stability of the stochastic functional differential equations is also established, which enables us to construct the lyapunov functions more easily in application. Particularly, the wel-known classical theorem on stochastic stability is a special case of our result, the operator LV is not required to be negative which is more general to fulfil and the stochastic perturbation plays an important role in it. These show clearly the improvement of the traditional method to find the lyapunov functions. A numerical simulation example is given to il ustrate the usage of the method.

关键词： stochastic functional differential equations lyapunov functions LaSalle asymptotic properties stability semi-martingale convergence theorem.

Improved Conditions for Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Time-Varying Delays

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Chinese Physics Letters 2008年第11期25卷 3894-3897页

作者：陈君崔宝同高明 College of Communication and Control Engineering Jiangnan University Wuxi 214122

The global asymptotic stability of delayed Cohen-Grossberg neural networks with impulses is investigated. Based on the new suitable lyapunov functions and the Jacobsthal inequality, a set of novel sufficient criteria are derived for the global asymptotic stability of Cohen-Grossberg neural networks with time-varying delays and impulses. An illustrative example with its numerical simulations is given to demonstrate the effectiveness of the obtained results.

关键词： MATHEMATICAL physics -- Asymptotic theory NEURAL networks (Computer science) lyapunov functions INEQUALITIES (Mathematics) NUMERICAL analysis SIMULATION methods & models

IMPULSIVE DIFFERENTIAL EQUATIONS WITH GAMMA DISTRIBUTED MOMENTS OF IMPULSES AND P-MOMENT EXPONENTIAL STABILITY

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Acta Mathematica Scientia 2017年第4期37卷 985-997页

作者： R.AGARWAL S.HRISTOVA P.KOPANOV D.O'REGAN Department of Mathematics Texas A&M University-KingsvilleKingsvilleTX 78363USA Plovdiv University Tzar Asen 244000 PlovdivBulgaria School of Mathematics Statistics and Applied MathematicsNational University of IrelandGalwayIreland

Differential tigated. We study the properties of solutions sufficient conditions for equations with impulses at random moments are set up and invescase of Gamma distributed random moments of impulses. Several are stud... 详细信息

关键词： impulses Gamma distributed moments of impulses p-moment exponentialstability lyapunov functions

Stabilization of fractional bilinear systems with multiple inputs

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Applied Mathematics(A Journal of Chinese Universities) 2023年第1期38卷 78-88页

作者： Thouraya Kharrat Fehmi Mabrouk Fawzi Omri Department of Mathematics Faculty of Sciences of SfaxUniversity of SfaxTunisia

In this paper,we study in a constructive way the stabilization problem of fractional bilinear systems with multiple *** the quadratic lyapunov functions and some additional hypotheses on the unit sphere,we construct stabilizing feedback laws for the considered fractional bilinear system.A numerical example is given to illustrate the efficiency of the obtained result.

关键词： stabilization fractional system bilinear system multiple inputs lyapunov functions

Global asymptotic stability of a class of nonlinear systems with parametric uncertainty

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Journal of Systems Engineering and Electronics 2009年第1期20卷 168-171页

作者： Cai Xiushan Lu Ganyun Zhang Changjiang He Xiuhui Coll. of Mathematics Physics and Information Engineering Zhejiang Normal Univ. Jinhua 321004 P. R. China

Stability of a class of nonlinear systems with parametric uncertainty is dealt with. This kind of systems can be viewed as feedback interconnection systems. By constructing the lyapunov function for one of the feedback interconnection systems, the lyapunov function for this kind of systems is obtained. Sufficient conditions of global asymptotic stability for this class of systems are deduced. The simulation shows the effectiveness of the method.

关键词： interconnection system lyapunov functions parametric uncertainty stability.

On a new fractional-order Logistic model with feedback control

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Applied Mathematics(A Journal of Chinese Universities) 2021年第3期36卷 390-402页

作者： Manh Tuan Hoang A.M.Nagy Department of Mathematics FPT UniversityHoa Lac Hi-Tech ParkKm29 Thang Long BlvdHanoiViet Nam Kuwait University Faculty of ScienceDepartment of MathematicsSafat 13060Kuwait Department of Mathematics Faculty of ScienceBenha UniversityBenha 13518Egypt

In this paper,we formulate and analyze a new fractional-order Logistic model with feedback control,which is different from a recognized mathematical model proposed in our very recent *** stability of the proposed model and its numerical solutions are studied *** using the lyapunov direct method for fractional dynamical systems and a suitable lyapunov function,we show that a unique positive equilibrium point of the new model is asymptotically *** an important consequence of this,we obtain a new mathematical model in which the feedback control variables only change the position of the unique positive equilibrium point of the original model but retain its asymptotic ***,we construct unconditionally positive nonstandard finite difference(NSFD)schemes for the proposed model using the Mickens’*** is worth noting that the constructed NSFD schemes not only preserve the positivity but also provide reliable numerical solutions that correctly reflect the dynamics of the new fractional-order ***,we report some numerical examples to support and illustrate the theoretical *** results indicate that there is a good agreement between the theoretical results and numerical ones.

关键词： fractional-order Logistic model feedback control lyapunov functions uniform asymptotic stability nonstandard finite difference schemes