SYSYApr 16, 2015

Switching Control for Parameter Identifiability of Uncertain Systems

arXiv:1504.041231.2
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Provides a theoretical guarantee for parameter identifiability in uncertain systems, relevant to control theory and applications like fault detection.

The paper shows that switching among a finite number of linear time-invariant controllers can generically ensure parameter identifiability for uncertain linear systems with non-finite uncertainty sets, with implications for fault detection and adaptive control.

This paper considers the problem of identifying the parameters of an uncertain linear system by means of feedback control. The problem is approached by considering time-varying controllers. It is shown that even when the uncertainty set is not finite, parameter identifiability can be generically ensured by switching among a finite number of linear time-invariant controllers. The results are shown to have several implications, ranging from fault detection and isolation to adaptive and supervisory control. Practical aspects of the problem are also discussed in details.

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