Low gain tracking for well-posed systems

Richard Rebarber; George Weiss

Low gain tracking for well-posed systems

Richard Rebarber, George Weiss

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

Abstract

In this paper we solve a stabilization and tracking problem for linear systems, using a low gain controller suggested by the internal model principle. These results are a partial extension of results by H¨am¨al¨ainen and Pohjolainen .In their results the plant is required to have a transfer function in the Callier-Desoer algebra, while in this paper we only re-quire the system to be well-posed. The conditions for a transfer function to be well-posed are sufﬁciently unrestrictive to be veriﬁable for many partial differential equations in more than one space variable. In this paper we apply our results to the problem of rejecting external noise in a model for structure/acoustics interactions

Original language	English
Journal	International Journal of Applied Mathematics and Computer Science
Volume	11
Issue number	1
State	Published - 2001
Externally published	Yes
Event	International Symposium of Mathematical Theory of Networks and Systems - Université de Perpignan, Perpignan, France Duration: 19 Jun 2000 → 23 Jun 2000 Conference number: 14

Cite this

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title = "Low gain tracking for well-posed systems",

abstract = "In this paper we solve a stabilization and tracking problem for linear systems, using a low gain controller suggested by the internal model principle. These results are a partial extension of results by H¨am¨al¨ainen and Pohjolainen .In their results the plant is required to have a transfer function in the Callier-Desoer algebra, while in this paper we only re-quire the system to be well-posed. The conditions for a transfer function to be well-posed are sufﬁciently unrestrictive to be veriﬁable for many partial differential equations in more than one space variable. In this paper we apply our results to the problem of rejecting external noise in a model for structure/acoustics interactions",

author = "Richard Rebarber and George Weiss",

note = "Special issue: Mathematical theory of networks and systems. 14th international conference, MTNS {\textquoteright}2000, Perpignan, France, June 19–23, 2000 organized by A. El Ja{\"i}, M.M. Fliess; International Symposium of Mathematical Theory of Networks and Systems ; Conference date: 19-06-2000 Through 23-06-2000",

year = "2001",

language = "אנגלית",

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journal = "International Journal of Applied Mathematics and Computer Science",

issn = "1641-876X",

publisher = "Walter de Gruyter GmbH",

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T1 - Low gain tracking for well-posed systems

AU - Rebarber, Richard

AU - Weiss, George

N1 - Conference code: 14

PY - 2001

Y1 - 2001

N2 - In this paper we solve a stabilization and tracking problem for linear systems, using a low gain controller suggested by the internal model principle. These results are a partial extension of results by H¨am¨al¨ainen and Pohjolainen .In their results the plant is required to have a transfer function in the Callier-Desoer algebra, while in this paper we only re-quire the system to be well-posed. The conditions for a transfer function to be well-posed are sufﬁciently unrestrictive to be veriﬁable for many partial differential equations in more than one space variable. In this paper we apply our results to the problem of rejecting external noise in a model for structure/acoustics interactions

AB - In this paper we solve a stabilization and tracking problem for linear systems, using a low gain controller suggested by the internal model principle. These results are a partial extension of results by H¨am¨al¨ainen and Pohjolainen .In their results the plant is required to have a transfer function in the Callier-Desoer algebra, while in this paper we only re-quire the system to be well-posed. The conditions for a transfer function to be well-posed are sufﬁciently unrestrictive to be veriﬁable for many partial differential equations in more than one space variable. In this paper we apply our results to the problem of rejecting external noise in a model for structure/acoustics interactions

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SN - 1641-876X

VL - 11

JO - International Journal of Applied Mathematics and Computer Science

JF - International Journal of Applied Mathematics and Computer Science

IS - 1

T2 - International Symposium of Mathematical Theory of Networks and Systems

Y2 - 19 June 2000 through 23 June 2000

ER -

Low gain tracking for well-posed systems

Abstract

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