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An LMI approach to stabilization of linear port-controlled Hamiltonian systems

✍ Scribed by Stephen Prajna; Arjan van der Schaft; Gjerrit Meinsma

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
161 KB
Volume
45
Category
Article
ISSN
0167-6911

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✦ Synopsis

In this paper, it is shown that controllers for stabilizing linear port-controlled Hamiltonian (PCH) systems via interconnection and damping assignment can be obtained by solving a set of linear matrix inequalities (LMIs). Two sets of (almost) equivalent LMIs are proposed. In the ΓΏrst set, the interconnection and damping matrices do not appear explicitly, which makes it more di cult to directly manipulate those matrices. By requiring the system to have no uncontrollable pole at s = 0, the second set of LMIs, explicitly containing the interconnection and damping matrices, can be obtained. Taking into account the physical properties of the system, some prespeciΓΏed structures can be imposed directly on those matrices.

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