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Combining the backstepping approach with the pointwise integral mechanism, a novel adaptive repetitive learning control for high-order nonlinear systems with time-varying and time-invariant parameters is proposed. It can be applied to the time-varying parametric uncertainty systems with unknown compact set, non-vanishing, rapid time-varying, periodic and where the prior knowledge is the periodicity...
The output frequency ranges under certain input has been investigated as well-known concept in the frequency domain analysis of nonlinear systems. The previous research results provided significant and basic relationship which can be employed in a variety of engineering applications. The paper introduces the algorithm for numerical computation and an analytical relationship expression for the output...
In this paper, an algorithm is derived for the determination of the output frequency ranges of nonlinear systems, which extends previous results on the output frequencies of nonlinear systems to a more general situation. The new results are significant for the analysis of the output frequency response of a wide class of nonlinear systems.
Expressions for the output frequencies of nonlinear systems for general inputs are developed in signal processing fields. This can be regarded as a natural extension to the existing algorithm for nonlinear frequency ranges computation. The new result provides insight for the frequency domain analysis and design of nonlinear systems in more general situations.
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