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energy-shaping for Hamiltonian control systems with time delay

控制理论与应用（英文版） 2013年第3期11卷 436-441页

作者： Liangcheng CAI Yong HE Min WU School of Information Science and Engineering Central South University Hunan Engineering Laboratory for Advanced Control and Intelligent Automation

This paper investigates the asymptotical stabilization of Hamiltonian control systems with time delay. First, Hamiltonian control systems with time delay are proposed. Second, a two-to-one （TTO） principle is introduced that two different Hamiltonian functions are simultaneously energy-shaping by one desired energy function. Third, a novel matching equation is built via the TTO principle for the Hamiltonian control systems with time delay, which generates an effective control law for the Hamiltonian control systems with time delay. Finally, a numerical example shows the effectiveness of proposed method.

关键词： Time delay Hamiltonian control systems energy-shaping

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energy-shaping for Time Delay Hamiltonian Control Systems

Energy-Shaping for Time Delay Hamiltonian Control Systems

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第三十一届中国控制会议

作者： CAI Liangcheng~(1 2) HE Yong~(1 2) WU Min~(1 2) 1.School of Information Science and Engineering Central South University Changsha 410083 China 2.Hunan Engineering Laboratory for Advanced Control and Intelligent Automation Changsha 410083 China

＜正＞This paper investigates the asymptotical stabilization of time delay Hamiltonian control ***,the time delay Hamiltonian control systems are ***,a Two-To-One（TTO） principle is introduced that two different Hamiltonian functions are simultaneously energy-shaping by one desired energy ***,a novel matching equation is built via the TTO principle for the time delay Hamiltonian control systems,which generates an effective control law for the time delay Hamiltonian control ***,a numerical example shows the effectiveness of proposed method.

关键词： Time Delay Hamiltonian Control Systems energy-shaping

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Excitation Control Based energy-shaping with Direct Mechanical Damping Injection for Transient Stability Improvement of Power Systems

Excitation Control Based Energy-Shaping with Direct Mechanic...

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第25届中国控制会议

作者： Jiao Xiaohong,Sun Yuanzhang,Shen Tielong Institute of Electrical Engineering, Yanshan University,Qinhuangdao,066004 ,China Department of Electrical Engineering,Tsinghua University,Beijing, 100084,China Department of Mechanical Engineering,Sophia University,Tokyo, 102-8554,Japan

＜正＞In this paper, a novel energy-shaping design method is provided for excitation controller of power systems, which is carried out by directly injecting the compensation damping into the mechanical damping. This design method utilizes the transient energy function with the physical properties of power system,and the adjusted parameters of the designed controller have directly corresponding relation to the physical meaning of the mechanical damping and electrical damping of power system. In addition,to further enhance the transient stability,considering the possible variation in the transmission line and uncertainties in physical parameters, an adaptive excitation controller is also designed by employing the direct mechanical damping injection. It is shown that the proposed excitation controller can make the system have better dynamic properties and large stability margin even in the case with the permanent fault on transmission line and the turbine failure. And,for illustrating the effectiveness of the proposed controller, the simulation comparison results with the traditional energy-shaping approach are presented.

关键词： Direct mechanical damping injection energy-shaping excitation control transient stability power systems

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EXTENDED CASIMIR APPROACH TO CONTROLLED HAMILTONIAN SYSTEMS

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Journal of Systems Science & Complexity 2006年第2期19卷 211-218页

作者： Yuqian GUO Daizhan CHENG Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China.

In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the Hoo control problem, the energy function of a Hamiltonian system is shaped to such a form that could be a candidate solution of HJI inequality. Next, the energy function is shaped as a candidate of control ISS-Lyapunov function, and then the input-to-state stabilization of port-controlled Hamiltonian systems is achieved. Some easily verifiable sufficient conditions are presented.

关键词： Casimir function energy-shaping H∞ control Input-to-state stabilization.

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