Dynamic output feedback control of constrained descriptor systems
This paper aims to present an approach for design of dynamic output feedback compensators for linear discrete-time descriptor systems subject to state and control constraints. To this end, output-feedback controlled-invariant polyhedra are constructed by taking a pair of polyhedral sets: a controlle...
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| Published in | Transactions of the Institute of Measurement and Control Vol. 35; no. 8; pp. 1129 - 1138 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
London, England
SAGE Publications
01.12.2013
Sage Publications Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0142-3312 1477-0369 |
| DOI | 10.1177/0142331213487921 |
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| Abstract | This paper aims to present an approach for design of dynamic output feedback compensators for linear discrete-time descriptor systems subject to state and control constraints. To this end, output-feedback controlled-invariant polyhedra are constructed by taking a pair of polyhedral sets: a controlled-invariant set and a conditioned-invariant set. By defining an augmented system composed of the original system plus the dynamic compensator, a control action can be computed online, which optimizes the contraction rate of the augmented state trajectory and enforces the constraints. The results are illustrated through numerical examples, which show that the proposed dynamic compensators outperform static feedback controllers under the same conditions. |
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| AbstractList | This paper aims to present an approach for design of dynamic output feedback compensators for linear discrete-time descriptor systems subject to state and control constraints. To this end, output-feedback controlled-invariant polyhedra are constructed by taking a pair of polyhedral sets: a controlled-invariant set and a conditioned-invariant set. By defining an augmented system composed of the original system plus the dynamic compensator, a control action can be computed online, which optimizes the contraction rate of the augmented state trajectory and enforces the constraints. The results are illustrated through numerical examples, which show that the proposed dynamic compensators outperform static feedback controllers under the same conditions. This paper aims to present an approach for design of dynamic output feedback compensators for linear discrete-time descriptor systems subject to state and control constraints. To this end, output-feedback controlled-invariant polyhedra are constructed by taking a pair of polyhedral sets: a controlled-invariant set and a conditioned-invariant set. By defining an augmented system composed of the original system plus the dynamic compensator, a control action can be computed online, which optimizes the contraction rate of the augmented state trajectory and enforces the constraints. The results are illustrated through numerical examples, which show that the proposed dynamic compensators outperform static feedback controllers under the same conditions. [PUBLICATION ABSTRACT] |
| Author | Dórea, Carlos ET Araújo, José M Barros, Péricles R |
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| References | Lewis 1986; 5 Gilbert, Tan 1991; 36 Lee, Kouvaritakis 2001; 148 Araujo, Barros, Dorea 2012a; 20 Blanchini, Miani, Mesquine 2009; 54 Mesquine, Tadeo, Benzaouia 2006; 2006 Baddou, Naib, Tadeo 2006; 2006 Castelan, Tarbouriech 2003; 14 Araujo, Barroso, Barros 2012b; 226 Mayne, Rawlings, Rao 2000; 36 Verghese, Levy, Kailath 1981; 26 Dórea, Hennet 1999b; 103 Luenberger 1978; 15 Vassilaki, Hennet, Bitsoris 1988; 47 Mayne, Raković, Findeisen 2006; 42 Dórea, Hennet 1999a; 5 Vassilaki, Bitsoris 1989; 13 Santos, Junior, Barroso 2009 Georgiou, Krikelis 1991; 17 Rami, Ayad, Mesquine 2007; 3 Blanchini 1994; 39 Tarbouriech, Castelan 1993; 24 bibr7-0142331213487921 bibr2-0142331213487921 Dai L (bibr11-0142331213487921) 1989; 118 bibr29-0142331213487921 Rami MA (bibr25-0142331213487921) 2007; 3 bibr16-0142331213487921 bibr20-0142331213487921 Araujo JM (bibr3-0142331213487921) 2010 Araujo JM (bibr1-0142331213487921) 2011 bibr12-0142331213487921 bibr17-0142331213487921 bibr8-0142331213487921 bibr21-0142331213487921 bibr30-0142331213487921 bibr18-0142331213487921 Castelan EB (bibr10-0142331213487921) 2003; 14 bibr26-0142331213487921 bibr13-0142331213487921 bibr5-0142331213487921 bibr4-0142331213487921 bibr9-0142331213487921 bibr22-0142331213487921 bibr31-0142331213487921 bibr23-0142331213487921 bibr14-0142331213487921 bibr28-0142331213487921 bibr6-0142331213487921 bibr27-0142331213487921 bibr15-0142331213487921 Mesquine F (bibr24-0142331213487921) 2006; 2006 bibr19-0142331213487921 |
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| SubjectTerms | Compensators Control systems Controllers Dynamical systems Dynamics Feedback Feedback control systems Output feedback Polyhedrons |
| Title | Dynamic output feedback control of constrained descriptor systems |
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