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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.
STABILIZATION, Nonlinear control, NONLINEAR-SYSTEMS, HAMILTONIAN-SYSTEMS, RLC CIRCUITS, INTERCONNECTION, Nonlinear systems, PASSIVITY-BASED CONTROL, MECHANICAL SYSTEMS, Passivity-based control, Stability
STABILIZATION, Nonlinear control, NONLINEAR-SYSTEMS, HAMILTONIAN-SYSTEMS, RLC CIRCUITS, INTERCONNECTION, Nonlinear systems, PASSIVITY-BASED CONTROL, MECHANICAL SYSTEMS, Passivity-based control, Stability
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 61 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |