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Observer Design for Port-controlled Hamiltonian Systems

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Observer Design for Port-controlled Hamiltonian Systems

第二十三届中国控制会议

作者： WANG YuzHEN FENG GANG cheng daizhan School of Control Science and Engineering, Shandong University, Jinan 250061, China Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon Tong, Hong Kong Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China

＜正＞ This paper deals with the observer design for port-controlled Hamiltonian （PCH） systems. When the structure matrix of PCH systems is strictly dissipative, an observer design method called Extension plus Feedback is proposed, and some new results are obtained accordingly. In order to make the Extension plus Feedback method be fit for the case that the structure matrix is not strictly dissipative, zero-state detectability is used to relax the condition, and a new observer result is obtained based on the LaSalle’s invariant principle. As an application to power systems, a state observer is designed for single-machine infinite-bus systems. Simulations show that the observer achieved in this paper works very well.

关键词： Port-controlled Hamiltonian System State Observer Power System.

基于Fliess泛函展开式的航天器姿态控制

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空间控制技术与应用 2009年第1期35卷 3-6,35页

作者：程代展袁艳艳乔宇鹏中国科学院数学与系统科学研究院系统科学研究所北京100190

介绍用Fliess泛函展开式研究航天器姿态控制问题。首先讨论一步预测及多步预测下的姿态跟踪。接着讨论当系统的解耦矩阵满秩时,在适当反馈下,闭环系统的Fliess泛函展开式具有有限项。由于航天器姿态动态方程具有非奇异解耦矩阵,有限项Fl... 详细信息

介绍用Fliess泛函展开式研究航天器姿态控制问题。首先讨论一步预测及多步预测下的姿态跟踪。接着讨论当系统的解耦矩阵满秩时,在适当反馈下,闭环系统的Fliess泛函展开式具有有限项。由于航天器姿态动态方程具有非奇异解耦矩阵,有限项Fliess泛函展开式可以方便地应用于航天器姿态控制的在线设计。

关键词：姿态控制 Fliess泛函展开式解耦矩阵输出跟踪

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Bursting of Morris-Lecar neuronal model with current-feedback control

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中国科学:技术科学 2010年第3期 346-346页

作者： DUAN LiXia1,LU QiShao2 & cheng daizhan3 1 College of Science,North China University of Technology,Beijing 100144,China 2 School of Science,Beijing University of Aeronautics and Astronautics,Beijing 100191,China 3 Institute of Systems Science,Chinese Academy of Sciences,Beijing 100190,China

The Morris-Lecar (ML) neuronal model with current-feedback control is considered as a typical fast-slow dynamical system to study the combined influences of the reversal potential VCa of Ca2+ and the feedback current I on the generation and transition of different bursting ***-parameter bifurcation analysis of the fast subsystem is performed in the parameter (I,VCa)-plane at *** important codimension-2 bifurcation points and some codimension-1 bifurcation curves are obtained which enable one to determine the parameter regions for different types of ***,we further divide the control parameter (V0,VCa)-plane into five different bursting regions,namely,the "fold/fold" bursting region R1,the "fold/Hopf" bursting region R2,the "fold/homoclinic" bursting region R3,the "subHopf/homoclinic" bursting region R4 and the "subHopf/subHopf" bursting region R5,as well as a silence region ***-1 and-2 bifurcations are responsible for explanation of transition mechanisms between different types of *** results are instructive for further understanding the dynamical behavior and mechanisms of complex firing activities and information processing in biological nervous systems.

关键词： neuron bursting bifurcation fast-slow dynamics analysis codimension

Stability of Switched Polynomial Systems

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Stability of Switched Polynomial Systems

第二十七届中国控制会议

作者： cheng daizhan1,Li Zhiqiang1,Qi Hongsheng1,Liu Jiangbo2 1.Institute of Systems Science,Chinese Academy of Sciences,Beijing 100080,P.R.China 2.Department of computer Science&Information systems,Bradley University,Peoria,IL

This paper investigates the stability of(switched) polynomial *** semi-tensor product of matrices,the paper developed two tools for testing the stability of a(switched) polynomial ***,a way to convert a product of multivariable polynomials into a canonical ***,an easily verifiable sufficient condition to justify whether a multi-variable polynomial is positive *** these two tools,we construct a polynomial function as a candidate Lyapunov function and via testing its derivative to provide some sufficient conditions for the global stability of polynomial systems.

关键词： Semi-tensor product Switched polynomial systems Global asymptotical stability

Simultaneous Stabilization of a Collection of Port-controlled Hamiltonian Systems with Application to Affine Nonlinear Systems

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Simultaneous Stabilization of a Collection of Port-controlle...

第25届中国控制会议

作者： Wang Yuzhen,Feng Gang,cheng daizhan School of Control Science and Engineering,Shandong University,Jinan 250061,P. R. China Department of Manufacturing Engineering and Engineering Management,City University of Hong Kong, Kowloon Tong,Hong Kong Institute of Systems Science,Chinese Academy of Sciences,Beijing 100080,P. R. China

＜正＞This paper investigates the simultaneous stabilization of a collection of nonlinear Port-Controlled Hamiltonian （PCH） systems,and proposes several new results on the design of simultaneous stabilization controllers for the PCH systems. Using the dissipative Hamiltonian structural properties,the collection of PCH systems are combined to generate an augmented PCH system, with which a simultaneous stabilization controller is then designed. Based on the zerostate detectability,a more general result is also obtained for the simultaneous stabilization of the PCH systems. Finally, using the results obtained in this paper,the simultaneous stabilization of a collection of affine nonlinear systems is also investigated,and some useful corollaries are presented.

关键词： PCH System Simultaneous stabilization Augmented PCH structure Affine system

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一般非线性系统的Kalman分解

自动化学报 1989年第1期15卷 30-36页

作者：程代展王洪才中国科学院系统科学研究所

本文讨论一般非线性系统的标准分解问题.线性系统的Kalman分解给出了系统的能控状态、能观状态和系统的最小实现.本文首先给出非线性系统的局部第一类Kalman分解形式,从而解决了系统的局部能控状态和局部能观状态的分解.然后,再给出第二... 详细信息

本文讨论一般非线性系统的标准分解问题.线性系统的Kalman分解给出了系统的能控状态、能观状态和系统的最小实现.本文首先给出非线性系统的局部第一类Kalman分解形式,从而解决了系统的局部能控状态和局部能观状态的分解.然后,再给出第二类Kalman分解形式,它提供了非线性系统的局部最小实现.

关键词：非线性系统标准分解 Kalman分解

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Backstepping and Nonlinear Internal Model Based Attitude Tracking and Disturbance Rejection

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Backstepping and Nonlinear Internal Model Based Attitude Tra...

第二十九届中国控制会议

作者： ZHANG Xuxi1,3,cheng daizhan2 1.Control and simulation center,Harbin Institute of Technology,Harbin,150001,P.R.China2.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China3.College of Science,Harbin Engineering University,Harbin,150001,P.R.China

＜Abstract＞In this paper,we consider the attitude tracking and disturbance rejection problem of rigid spacecraft using back-stepping and nonlinear internal model *** Modified Rodrigues Parameters is used as kinematic variables of the rigid spacecraft,which allows principal angle rotations up to 360°.By applying the backstepping design method,we design the Lyapunov function candidate recursively and design the control law *** disturbance is handled by a nonlinear internal model,which include the linear internal model as a special case.A numerical example is also given to illustrate the theoretical result presented in this paper.

关键词： Backstepping,Nonlinear Internal Model,Attitude Tracking Disturbance Rejection

ON FIRST INTEGRALS OF POLYNOMIAL AUTONOMOUS SYSTEMS

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Journal of Systems Science & Complexity 2002年第4期15卷 363-371页

作者： WANG Yuzhen LI Chunwen cheng daizhan Department of Automation Tsinghua University Beijing China 100084

Using Carleman linearization procedure, this paper investigates the problem of first integrals of polynomial autonomous systems and proposes a procedure to find the first integrals of polynomial family for the systems. A generalized eigenequation is obtained and then the problem is reduced to the solvability of the eigenequation. The result is a generalization of some known results.

关键词： Integrability first integrals Carleman linearization Kronecker product.

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