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Observer and observer-based H ∞ control of generalized Hamiltonian systemscontrol of generalized Hamiltonian systems

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Abstract

This paper deals with observer design for generalized Hamiltonian systems and its applications. First, by using the systems’ structural properties, a new observer design method called Augment Plus Feedback is provided and two kinds of observers are obtained: non-adaptive and adpative ones. Then, based on the obtained observer, H ∞ control design is investigated for generalized Hamiltonian systems, and an observer-based control design is proposed. Finally, as an application to power systems, an observer and an observer-based H ∞ control law are designed for single-machine infinite-bus systems. Simulations show that both the observer and controller obtained in this paper work very well.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, 250061, Jinan, China

    Wang Yuzhen

  2. Department of Electrical and Computer Engineering, The National University of Singapore, 117576, Singapore

    Ge S. S.

  3. Institute of Systems Science, Chinese Academy of Sciences, 100080, Beijing, China

    Cheng Daizhan

Authors
  1. Wang Yuzhen
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  2. Ge S. S.
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  3. Cheng Daizhan
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Correspondence to Wang Yuzhen.

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Wang, Y., Ge, S.S. & Cheng, D. Observer and observer-based H ∞ control of generalized Hamiltonian systemscontrol of generalized Hamiltonian systems. Sci China Ser F 48, 211–224 (2005). https://doi.org/10.1360/03yf0601

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  • DOI: https://doi.org/10.1360/03yf0601

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