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ANALYSIS OF OSCILLATORY CONTROL SYSTEMS
Sonia Martínez* Jorge Cortés* Francesco Bullo**
* Instituto de Matemáticas y Física Fundamental, Consejo
Superior de Investigaciones Científicas, Serrano 123, Madrid,
28006, Spain, Tel: +1-34-915616800 (extensions 1110 and 1114),
Fax: +1-34-915854894,
Email: {s.martinez,j.cortes}@imaff.cfmac.csic.es
** Coordinated Science Laboratory, University of Illinois at
Urbana-Champaign, 1308 W. Main St., Urbana, IL 61801,
United States, Tel: +1-217-3330656, Fax: +1-217-2441653,
Email: bullo@uiuc.edu
This paper presents analysis results for control systems subject to oscillatory inputs, i.e., inputs of large amplitude and high frequency. The key results are a series expansion characterizing the averaged system and various Lie-algebraic conditions that guarantee the series can be summed. Some illustrative example systems provide insight into the results; control design applications are discussed in a companion paper.
Keywords: oscillatory control, averaging, geometric methods
Session slot T-Mo-M08: Analysis of Nonlinear Systems/Area code 2c : Non-linear Systems
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