2010
DOI: 10.1016/j.automatica.2009.10.012
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Power-based control of physical systems

Abstract: a b s t r a c tIt 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 ident… Show more

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Cited by 71 publications
(52 citation statements)
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“…This power-shaping approach can be related to the energy-shaping approach in which the Hamiltonian H(x) of a system is shaped into a desired Hamiltonian H d (x). We now describe a similar approach for standard mechanical systems, however, the difference with [7] is that for a mechanical system the matrix (17) also changes. Assume that:…”
Section: B Stabilization Via Power-shapingmentioning
confidence: 99%
See 4 more Smart Citations
“…This power-shaping approach can be related to the energy-shaping approach in which the Hamiltonian H(x) of a system is shaped into a desired Hamiltonian H d (x). We now describe a similar approach for standard mechanical systems, however, the difference with [7] is that for a mechanical system the matrix (17) also changes. Assume that:…”
Section: B Stabilization Via Power-shapingmentioning
confidence: 99%
“…In [7] it is shown how a general system of the form (16) can be asymptotically stabilized by power-shaping. This power-shaping approach can be related to the energy-shaping approach in which the Hamiltonian H(x) of a system is shaped into a desired Hamiltonian H d (x).…”
Section: B Stabilization Via Power-shapingmentioning
confidence: 99%
See 3 more Smart Citations