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A feedback-based L-2-norm limiter for periodic signals

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10.1016/j.automatica.2011.09.037
 
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hdl:2117/16457

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Griñó Cubero, RobertMés informacióMés informacióMés informació
Ortega, Romeo
Fossas Colet, EnricMés informacióMés informacióMés informació
Document typeArticle
Defense date2011-01
Rights accessRestricted access - publisher's policy
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
Limiting the rms value (L2 norm) of periodic signals can be a necessity in some controllers for power electronic devices. The prevailing existing solution is simply to compute, off-line, the L2 norm and then to multiply the signal by the factor that ensures the desired bound is achieved. This feedforward procedure could yield unsatisfactory results during the transients of the system. In this paper, a feedback-based algorithm that carries out the computations on-line is proposed. Besides the on-line computation of the L2 norm, the second component of the algorithm is a classical proportional–integral loop with an anti-windup mechanism. Although the overall algorithm is described by complicated nonlinear, non-autonomous, delay-differential equations, a detailed stability analysis is carried out, proving its robust performance. Simulation results, that confirm the theoretical results, are presented.
CitationGriño, R.; Ortega, R.; Fossas, E. A feedback-based L-2-norm limiter for periodic signals. "Automatica", Gener 2011, vol. 48, núm. 1, p. 205-210. 
URIhttp://hdl.handle.net/2117/16457
DOI10.1016/j.automatica.2011.09.037
ISSN0005-1098
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