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On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems

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Abstract

The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well.

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Authors and Affiliations

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

    YuZhen Wang

  2. Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China

    Gang Feng

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  1. YuZhen Wang
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  2. Gang Feng
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Correspondence to YuZhen Wang.

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Wang, Y., Feng, G. On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems. Sci. China Inf. Sci. 56, 1–14 (2013). https://doi.org/10.1007/s11432-012-4600-0

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  • DOI: https://doi.org/10.1007/s11432-012-4600-0

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