Energy shaping of boundary controlled linear port Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Energy shaping of boundary controlled linear port Hamiltonian systems
In this paper, we consider the asymptotic stabilization of a class of one dimensional boundary controlled port Hamiltonian systems by an immersion/reduction approach and the use of Casimir invariants. We first extend existing results on asymptotic stability of linear infinite dimensional systems controlled at their boundary to the case of stable Port Hamiltonian controllers including some physi...
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The paper further elaborates on a passive output that was constructed in [3] with the purpose of providing an energybalance (EB) interpretation for basic interconnection and damping assignment (BIDA [6, 7]). Such output has its roots in power shaping [4], an alternative method to stabilize nonlinear RLC circuits subjected to the dissipation obstacle [6]. It has been recently shown in [5] that t...
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This paper gives necessary and sufficient conditions under which an affine nonlinear system is feedback equivalent to a port controlled Hamiltonian system. In particular, we identify the minimum number of linear partial differential equations that need to be solved to achieve this transformation. Copyright c ©2005 IFAC.
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The direct discrete time control of Port Controlled Hamiltonian Systems (PCHS) in the sense of energy shaping and damping injection is considered. In order to give a direct discrete time design method for PCHS, firstly an appropriate discrete gradient is proposed, which enables the derivation of a discrete time equation corresponding to the discrete time counterpart of Hamiltonian Systems. Usin...
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ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2014
ISSN: 1474-6670
DOI: 10.3182/20140824-6-za-1003.01966