A New Insight on State-Trimness and Minimal State-Space Realizations of Input-Output Behaviors

• Type: Article in International Conference Proceedings Book
• Date: 2022

Authors

Pereira, R (Author) Other; Rocha, P (Author) FEUP

Conference proceedings International

Title: CONTROLO 2022

Pages: 679-688

15th APCA International Conference on Automatic Control and Soft Computing (CONTROLO)

Caparica, PORTUGAL, JUL 06-08, 2022

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Other information

Authenticus ID: P-00X-03J

DOI: 10.1007/978-3-031-10047-5_60

Abstract (EN): In this paper we study the property of state-trimness introduced in [4], which, together with observability, is a necessary and sufficient condition for the minimality of the state-space realizations of a given input-output behavior. More concretely, we show how to compute the trim subspace T of a non state-trim state-space system Sigma and prove that the restriction of Sigma to T is a state-space system with the same input-output behavior as Sigma. Combined with Kalman's observability decomposition, this allows obtaining minimal state-space realizations from non minimal ones.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10