Proper Exponential Approximation of Non Proper Compensators: The MIMO Case

J. Pacheco M; M. E. Bonilla; M. Malabre

Proper Exponential Approximation of Non Proper Compensators: The MIMO Case

J. Pacheco M, M. E. Bonilla, M. Malabre

Research output: Contribution to journal › Conference article › peer-review

Abstract

In some control problems, it may be convenient, at least from the analysis point of view, to use non proper compensators. However, as far as their implementation is concerned, proper approximations have to be designed. In the present paper, we first show how exponential approximations can be rather easily designed (Lemma 1). Then, we characterize, in geometric terms, the external properness of an implicit description (Theorem 1 and Corollary 1). Finally, the combination of those two results solves the problem of proper exponential approximation and generalizes to the MIMO case a previous result from Bonilla and Lozano (Theorem 2).

Original language	English
Pages (from-to)	110-115
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
State	Published - 2003
Externally published	Yes
Event	42nd IEEE Conference on Decision and Control - Maui, HI, United States Duration: 9 Dec 2003 → 12 Dec 2003

Cite this

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title = "Proper Exponential Approximation of Non Proper Compensators: The MIMO Case",

abstract = "In some control problems, it may be convenient, at least from the analysis point of view, to use non proper compensators. However, as far as their implementation is concerned, proper approximations have to be designed. In the present paper, we first show how exponential approximations can be rather easily designed (Lemma 1). Then, we characterize, in geometric terms, the external properness of an implicit description (Theorem 1 and Corollary 1). Finally, the combination of those two results solves the problem of proper exponential approximation and generalizes to the MIMO case a previous result from Bonilla and Lozano (Theorem 2).",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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AU - Malabre, M.

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N2 - In some control problems, it may be convenient, at least from the analysis point of view, to use non proper compensators. However, as far as their implementation is concerned, proper approximations have to be designed. In the present paper, we first show how exponential approximations can be rather easily designed (Lemma 1). Then, we characterize, in geometric terms, the external properness of an implicit description (Theorem 1 and Corollary 1). Finally, the combination of those two results solves the problem of proper exponential approximation and generalizes to the MIMO case a previous result from Bonilla and Lozano (Theorem 2).

AB - In some control problems, it may be convenient, at least from the analysis point of view, to use non proper compensators. However, as far as their implementation is concerned, proper approximations have to be designed. In the present paper, we first show how exponential approximations can be rather easily designed (Lemma 1). Then, we characterize, in geometric terms, the external properness of an implicit description (Theorem 1 and Corollary 1). Finally, the combination of those two results solves the problem of proper exponential approximation and generalizes to the MIMO case a previous result from Bonilla and Lozano (Theorem 2).

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M3 - Artículo de la conferencia

AN - SCOPUS:1542439252

SN - 0743-1546

VL - 1

SP - 110

EP - 115

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 9 December 2003 through 12 December 2003

ER -

Proper Exponential Approximation of Non Proper Compensators: The MIMO Case

Abstract

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