Indirect adaptive periodic control

Dimitrios Dimogianopoulos, Rogelio Lozano, Amit Ailon

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper a new indirect adaptive control method is presented. This method is based on a lifted representation of the plant which can be stabilized using a simple performant periodic control scheme. The controller parameters computation involves the inverse of the controllability/observability matrix. Potential singularities of this matrix are avoided by means of an appropriate estimates modification. This estimates transformation is linked to the covariance matrix properties and hence it preserves the convergence properties of the original estimates. This modification involves the singular value decomposition of the controllability/observability matrix's estimate. As compared to previous studies in the subject the controller proposed here does not require the frequent introduction of periodic n-length sequences of zero inputs. Therefore the new controller is such that the system is almost always operating in closed loop which should lead to better performance characteristics.

Original languageEnglish
Pages (from-to)3022-3027
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
StatePublished - 1 Dec 1997
Externally publishedYes
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: 10 Dec 199712 Dec 1997

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