Galerkin method and approximate tracking in a non-minimum phase bilinear system
PublisherAmerican Institute of Mathematical Sciences
Rights accessOpen Access
The tracking control of non-minimum phase systems is nowadays an open and challenging field, because a general theory is still not available. This article proposes an indirect control strategy in which a key role is played by the inverse problem that arises and their approximate solutions. These are obtained with the Galerkin method, a standard functional analysis tool. A detailed study of the effect on the output caused by the use of an approximate input is performed. Error bounds are also provided. The technique is motivated through its implementation in basic, DC-to-DC nonlinear power converters that are intended to be used as DC-to-AC voltage sources.
CitationFossas, E.; Olm, J.M. Galerkin method and approximate tracking in a non-minimum phase bilinear system. Discrete and Continuous Dynamical Systems-Series B, (2007, vol. 7. núm. 1, p. 53-76).
Showing items related by title, author, creator and subject.
Salehifar, Mehdi; Salehi Arashloo Arashloo, Ramin; Moreno Eguilaz, Juan Manuel; Sala Caselles, Vicenç; Romeral Martínez, José Luis (Institute of Electrical and Electronics Engineers (IEEE), 2013)
Restricted access - publisher's policyIn this paper, a new fault detection method based on signal normalization using a simple trigonometric function is presented and applied to a five phase converter for fault tolerant application under nonsinusoidal unbalanced ...
Optimal injection of harmonics in circulating currents of modular multilevel converters for capacitor voltage ripple minimization Picas Prat, Ricard; Pou Félix, Josep; Ceballos Recio, Salvador; Zaragoza Bertomeu, Jordi; Konstantinou, Georgios; Agelidis, Vassilios (2013)
Restricted access - publisher's policyThis paper proposes an algorithm to calculate the optimal amplitude and phase of the harmonic current components that can be injected in the circulating currents of a modular multilevel converter (MMC) to minimize the ...
Solid state transformer with low-voltage ride-through and current unbalance management capabilities Alepuz Menéndez, Salvador; González, Francisco; Martín-Arnedo, Jacinto; Martínez Velasco, Juan Antonio (2013)
Restricted access - publisher's policyThe solid state transformer is an emerging technology which aims at replacing the conventional lowfrequency power transformer by means of a high-frequency transformer driven by a proper AC/AC power electronics conversion ...