On the notion of persistence of excitation for linear switched systems
Mihaly Petreczky, Laurent Bako
TL;DR
This paper introduces a new formulation of persistence of excitation for discrete-time linear switched systems, providing conditions for input signals to be persistently exciting without relying on specific identification algorithms.
Contribution
It defines persistence of excitation as a property of input signals for switched systems and offers sufficient conditions based on realization theory and Markov-parameters.
Findings
Provides a formal definition of persistence of excitation for switched systems
Derives sufficient conditions for input signals to be persistently exciting
Utilizes realization theory and Markov-parameters in the analysis
Abstract
The paper formulates the concept of persistence of excitation for discrete-time linear switched systems, and provides sufficient conditions for an input signal to be persistently exciting. Persistence of excitation is formulated as a property of the input signal, and it is not tied to any specific identification algorithm. The results of the paper rely on realization theory and on the notion of Markov-parameters for linear switched systems.
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Taxonomy
TopicsControl Systems and Identification · Adaptive Control of Nonlinear Systems · Fault Detection and Control Systems