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Direct adaptive neural control for stabilization of nonlinear time-delay systems

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Science china(information Sciences) 2010年第4期53卷 800-812页

作者： WANG Min1,2*, ZHANG SiYing2, CHEN Bing2 & LUO Fei2 1College of Automation, South china university of technology, Guangzhou 510641, china 2institute of Complexity Science, Qingdao university, Qingdao 266071, china 1. College of Automation South China University of Technology Guangzhou 510641 China2. Institute of Complexity Science Qingdao University Qingdao 266071 China

This paper is concerned with the problem of adaptive neural control for uncertain nonlinear strict-feedback time-delay systems with unknown virtual control coefficients. Radial basis function (RBF) neural networks are employed to directly approximate unknown virtual control signals, and then the adaptive neural control law is constructed by Lyapunov-Krasovskii functionals and backstepping. In order to avoid encountering a large number of adaptive parameters when using RBF neural networks as function approximators, an unknown constant, instead of unknown neural weights themselves, is employed as the estimated parameter. This technique makes only one adaptive parameter tuned online, thus significantly alleviating the burdensome computation. Meanwhile, some continuous functions are introduced to overcome the design difficulty originating from the use of one adaptive parameter. The proposed adaptive control guarantees the boundedness of all the signals in the closed-loop system. Simulation studies are presented to illustrate the effectiveness of the scheme.

关键词： nonlinear time-delay systems neural control adaptive control backstepping

Design of multiple anti-windup loops for multiple activations

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Science china(information Sciences) 2012年第9期55卷 1925-1934页

作者： WU XiongJun 1,2 & LIN Zongli 3,1 1 Department of Automation,Shanghai Jiao Tong university,and Key Laboratory of System Control and information Processing,Ministry of Education of china,Shanghai 200240,china 2 No.802 institute of Shanghai Academy of Space Flight technology,the Eighth Academy of china Aerospace Science and technology Corporation,Shanghai 200090,china 3 Charles L.Brown Department of Electrical and Computer Engineering,university of Virginia,P.O.Box 400743,Charlottesville,VA 22904-4743,USA 1. Department of Automation Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing Ministry of Education of China Shanghai 200240 China2. No. 802 Institute of Shanghai Academy of Space Flight Technology the Eighth Academy of China Aerospace Science and Technology Corporation Shanghai 200090 China3. Charles L. Brown Department of Electrical and Computer Engineering University of Virginia P.O. Box 400743 Charlottesville VA 22904-4743 USA

This paper considers anti-windup design for linear systems subject to actuator *** anti-windup gains are designed for activations immediately at the occurrence actuator saturation,after the saturation has reached a certain level and in anticipation of the occurrence of saturation,*** design is based on the minimization of L 2 gain from the disturbance to the controlled output of the resulting closed-loop *** anti-windup scheme involves a single anti-windup loop for immediate activation.A recent innovation is to design a single anti-windup loop for delayed or anticipatory activation,as well as to design two anti-windup gains,one for immediate activation and one for delayed *** design of three anti-windup gains for three different activations is shown through simulation to lead to significant further performance improvement over the previous activation schemes.

关键词： actuator saturation anti-windup anticipatory activation delayed activation L 2 gain nonlinear control

Consensus of multiagent systems based on disturbance observer

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控制理论与应用（英文版） 2010年第2期8卷 145-150页

作者： Hongyong YANG 1 , Fucai WANG 2 , Zhenxing ZHANG 3 , Guangdeng ZONG 4 (1.School of information Science and Engineering, Ludong university, Yantai Shandong 264025, china 2.School of Electronic and Electrical Engineering, Ludong university, Yantai Shandong 264025, china 3.School of Automation, Southeast university, Nanjing Jiangsu 210096, china 4.institute of Automation, Qufu Normal university, Qufu Shandong 273165, china) School of information Science and Engineering Ludong University Yantai Shandong China School of Electronic and Electrical Engineering Ludong University Yantai Shandong China School of Automation Southeast University Nanjing Jiangsu China institute of Automation Qufu Normal University Qufu Shandong China

The objectives of this work are the development and design of disturbance observers (DO’s) for a team of agents that accomplish consensus on agents’ states in the presence of exogenous disturbances. A pinning control strategy is designed for a part of agents of the multiagent systems without disturbances, and this pinning control can bring multiple agents’ states to reaching an expected consensus value. Under the effect of the disturbances, nonlinear disturbance observers are developed for disturbances generated by an exogenous system to estimate the disturbances. Asymptotical consensus of the multiagent systems with disturbances under the composite controller can be achieved. Finally, by applying an example of multiagent systems with switching topologies and exogenous disturbances, the design of the parameters of DO’s are illuminated.

关键词： Multiagent systems Disturbance observer Pinning control Consensus

The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group

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Chinese Quarterly Journal of Mathematics 2004年第4期19卷 426-435页

作者： ZHENG Zhu-jun, WANG Guo-an, LU Ke-ping,LUO Xue-bo(1. College of Mathematics and information Science, Henan university, Kaifeng 475001, china 2.institute of Mathematics, Henan university, Kaifeng 475001, china 3. information Network Center, Henan university, Kaifeng 475001, china 4. institute of Applied Mathematics, Northwestern Ploytechnical university, Xi'an 710072, china) college of Mathematics and information Science Henan University Kaifeng 475001china institute of Mathematics Henan University Kaifeng 475001china information Network Center Henan University Kaifeng 475001china college of Mathematics and information Science Henan University Kaifeng 475001china institute of Applied Mathematics Northwestern Ploytechnical University Xi'an 710072 china

Based on the concepts of a generalized critical point and the corresponding generalized P.S. condition introduced by Duong Minh Duc [1], we have proved a new Z2 index theorem and get a result on multiplicity of generalized critical points. Using the result and a quite standard variational method, it is found that the equation-ΔHnu = |u|p-1u,x∈Hnhas infinite positive solutions. Our approach can also be applied to study more general nonlinear problems.

关键词： subelliptic operator Z2 index Heisenberg group generalized critical point

Sliding Mode Control Design with Lipschitz Switching Surfaces for Uncertain Systems

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Sliding Mode Control Design with Lipschitz Switching Surface...

A maximum principle for optimal control problem of fully coupled forward-backward stochastic systems with partial information

第二十九届中国控制会议

作者： HUO Xin1,YAO Yu1,ZHENG Kai2,YANG Baoqing1 1.Harbin institute of technology,Control and Simulation Center,Harbin 150080,P.R.china2.dalian Maritime university,information Science and technology College,dalian 116026,P.R.china

In this paper,a sliding mode control（SMC）method for a class of nonlinear uncertain systems is proposed based on the new contingent cone criteria,which is utilized to estimate the relation between the phase trajectories and an arbitrary Lipschitz continuous surface.A Lipschitz continuous sliding surface is constructed and a feedback controller is designed to drive the trajectories of the closed-loop system to the surface in finite *** asymptotic convergence property to the origin is proved based on a series of Lipschitz domains constructed recursively,each of which contains two Lipschitz switching surfaces that may be ***’s differential inclusion is adopted to describe the dynamics of the closed-loop ***,the validity of the method is illuminated by a 3-dimensional numerical example.

关键词： Lipschitz Switching Surface Lipschitz Domain Filippov Solution Contingent Cone

来源： cnki会议评论

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Science china Mathematics 2009年第7期52卷 1579-1588页

作者： MENG QingXin1,2 1 Department of Mathematical Sciences,Huzhou university,Zhejiang 313000,china 2 institute of Mathematics,Fudan university,Shanghai 200433,china 1. Department of Mathematical Sciences Huzhou University Zhejiang 313000 China 2. institute of Mathematics Fudan University Shanghai 200433 China

The paper is concerned with a stochastic optimal control problem in which the controlled system is described by a fully coupled nonlinear forward-backward stochastic differential equation driven by a Brownian *** is required that all admissible control processes are adapted to a given subfiltration of the filtration generated by the underlying Brownian *** this type of partial information control,one sufficient(a verification theorem) and one necessary conditions of optimality are *** control domain need to be convex and the forward diffusion coefficient of the system can contain the control variable.

关键词： maximum principle stochastic optimal control partial information 93E20 60H10 60H30

微生物批式流加发酵的建模及基于HPSO算法的参数辨识(英文)

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山东大学学报（理学版） 2009年第7期44卷 71-76页

作者：宫召华刘重阳冯恩民山东工商学院数学与信息科学学院山东烟台264005 大连理工大学数学学院辽宁大连116024

研究了微生物批式发酵甘油生产1,3-丙二醇过程的建模和参数辨识。由于流加过程中甘油和碱被间断地注入发酵罐,因而本文提出一个非线性多阶段动力系统描述该过程,并讨论了该系统的性质。以实验数据和计算值之间误差平方和最小为性能指标... 详细信息

研究了微生物批式发酵甘油生产1,3-丙二醇过程的建模和参数辨识。由于流加过程中甘油和碱被间断地注入发酵罐,因而本文提出一个非线性多阶段动力系统描述该过程,并讨论了该系统的性质。以实验数据和计算值之间误差平方和最小为性能指标,建立了系统辨识模型,并证明了参数的可辨识性。最后构造了混杂粒子群算法求解该参数辨识模型,数值结果表明实验观测值和计算值之间的误差比已有文献降低了1.76%～41.77%,因而该系统能更好的描述批式流加发酵过程。

关键词：建模参数辨识粒子群优化 1,3-丙二醇批式发酵

THE EXISTENCE OF SOLUTIONS OF nonlinear BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN OPERATOR IN L^s-SPACES

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Journal of Systems Science & Complexity 2005年第4期18卷 511-521页

作者： WEI Li (School of Mathematics and Statistics, Hebei university of Economics and Business, Shijiazhuang 050061, china institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Shijiazhuang 050003, china. ZHOU Haiyun (institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Shijiazhuang 050003, china institute of Mathematics and information Science, Hebei Normal university, Shijiazhuang 050016, china. School of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang 050061 China

By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we study the abstract results on the existence of a solution u ∈ L^s （Ω） of nonlinear boundary value problems involving the p-Laplacian operator, where 2≤ s〈＋∞, and 2N/N＋1 〈 p ≤ 2 for N（≥ 1） which denotes the dimension of R^N. To obtain the result, some new techniques are used in this paper. The equation discussed in this paper and our methods here are extension and complement to the corresponding results of L. Wei and Z. He.

关键词： Maximal monotone operator accretive mapping hemi-continuous mapping p-Laplacian operator nonlinear boundary value problem.

Quantitative analysis for nonlinear fluorescent spectra based on edges matching

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Science china(Technological Sciences) 2010年第11期53卷 1190-1197页

作者： CHEN Yang,ZHANG TaiNing,GUO Peng,WANG XiangHui & CHANG ShengJiang institute of Modern Optics,Key laboratory of Opto-electronic information Science and technology of Ministry of Education,Nankai university,Tianjin 300071,china 1. institute of Modern Optics Key laboratory of Opto-electronic Information Science and Technology of Ministry of Education Nankai University Tianjin 300071 China

A novel spectra-edge-matching approach is proposed for the quantitative analysis of the nonlinear fluorescence spectra of the air impurities excited by a femtosecond *** fluorescence spectra are first denoised and compressed,both by wavelet transform,and several peak groups are then picked from each spectrum according to a threshold of intensity and are used to extract the spectral features through principal component *** is indicated that the first two principle components actually cover up to 98% of the total information and are sufficient for the final concentration *** analysis reveals a monotone relationship between the spectra intensity and the concentration of the air impurities,suggesting that the femtosecond laser induced fluorescence spectroscopy along with the proposed spectra analysis method can become a powerful tool for monitoring environmental pollutants.

关键词： nonlinear fluorescence spectrum feature matching edges of spectrum

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