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Power-based control of physical systems

Garcia-Canseco, E., Jeltsema, D., Ortega, R. & Scherpen, J. M. A., Jan-2010, In : Automatica. 46, 1, p. 127-132 6 p.

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It is well known that energy-balancing control is stymied by the presence of pervasive dissipation. To overcome this problem in electrical circuits, the alternative paradigm of power shaping was introduced in Ortega, Jeltsema, and Scherpen (2003)-where, as suggested by its name, stabilization is achieved shaping a function akin to the power instead of the energy function. In this paper we extend this technique to general nonlinear systems. The method relies on the solution of a PDE, which identifies the open-loop storage function. We show through some physical examples, that the power-shaping methodology yields storage functions which have units of power. To motivate the application of this control technique we illustrate the procedure with two case studies: a tunnel diode circuit and a two-tanks system. (C) 2009 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)127-132
Number of pages6
JournalAutomatica
Volume46
Issue number1
Publication statusPublished - Jan-2010

    Keywords

  • Passivity-based control, Nonlinear control, Stability, Nonlinear systems, PASSIVITY-BASED CONTROL, HAMILTONIAN-SYSTEMS, MECHANICAL SYSTEMS, NONLINEAR-SYSTEMS, RLC CIRCUITS, STABILIZATION, INTERCONNECTION

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