Linear control of time domain constrained systems

W.H.T.M. Aangenent, W.P.M.H. Heemels, M.J.G. Molengraft, van de, D. Henrion, M. Steinbuch

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Abstract

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on closed-loop signals and leads to conditions in terms of linear matrix inequalities (LMIs). This control design framework offers, in addition to constraint satisfaction, also the possibility of including an optimization objective that can be used to minimize steady state (tracking) errors, to decrease the settling time, to reduce overshoot and so on. The effectiveness of the framework is shown via a numerical example.
Original languageEnglish
Pages (from-to)736-746
JournalAutomatica
Volume48
Issue number5
DOIs
Publication statusPublished - 2012

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Linear matrix inequalities
Linear systems
Controllers

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title = "Linear control of time domain constrained systems",
abstract = "This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on closed-loop signals and leads to conditions in terms of linear matrix inequalities (LMIs). This control design framework offers, in addition to constraint satisfaction, also the possibility of including an optimization objective that can be used to minimize steady state (tracking) errors, to decrease the settling time, to reduce overshoot and so on. The effectiveness of the framework is shown via a numerical example.",
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Linear control of time domain constrained systems. / Aangenent, W.H.T.M.; Heemels, W.P.M.H.; Molengraft, van de, M.J.G.; Henrion, D.; Steinbuch, M.

In: Automatica, Vol. 48, No. 5, 2012, p. 736-746.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Linear control of time domain constrained systems

AU - Aangenent, W.H.T.M.

AU - Heemels, W.P.M.H.

AU - Molengraft, van de, M.J.G.

AU - Henrion, D.

AU - Steinbuch, M.

PY - 2012

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N2 - This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on closed-loop signals and leads to conditions in terms of linear matrix inequalities (LMIs). This control design framework offers, in addition to constraint satisfaction, also the possibility of including an optimization objective that can be used to minimize steady state (tracking) errors, to decrease the settling time, to reduce overshoot and so on. The effectiveness of the framework is shown via a numerical example.

AB - This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on closed-loop signals and leads to conditions in terms of linear matrix inequalities (LMIs). This control design framework offers, in addition to constraint satisfaction, also the possibility of including an optimization objective that can be used to minimize steady state (tracking) errors, to decrease the settling time, to reduce overshoot and so on. The effectiveness of the framework is shown via a numerical example.

U2 - 10.1016/j.automatica.2012.02.017

DO - 10.1016/j.automatica.2012.02.017

M3 - Article

VL - 48

SP - 736

EP - 746

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 5

ER -