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Analysis of oscillatory control systems
S. Martínez, J. Cortés, F. Bullo
IFAC World Congress, Barcelona, Spain, 2002

Abstract

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.

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