Synthesis of stabilizing antiwindup controllers using piecewise quadratic lyapunov functions / Tiwari, Pradeep Y. in IEEE transactions on automatic control, Vol. 52 N°12 (Decembre 2007)  

Public ISBD [article]  inIEEE transactions on automatic control > Vol. 52 N°12 (Decembre 2007) . - 2341-2345 p. Titre : Synthesis of stabilizing antiwindup controllers using piecewise quadratic lyapunov functions Titre original : La synthèse de stabiliser d'anti contrôleurs de remontage employant le lyapunov par morceaux quadratique fonctionne Type de document : texte imprimé Auteurs : Tiwari, Pradeep Y., Auteur ; Mayuresh V. Kothare, Auteur ; Mulder, Eric F., Auteur Année de publication : 2008 Article en page(s) : 2341-2345 p. Note générale : Automatique Langues : Anglais (eng) Mots-clés : Actuator saturation Antiwindup Bilinear matrix inequalties (BMI) Constrained control Optimal Piecewise linear system Saturation de déclencheur Anti remontage Inequalties bilinéaires matrice Commande contrainte optimale Système par morceaux linéaire Index. décimale : 629.8 Résumé : We consider the problem of antiwindup controller synthesis based on the general antiwindup framework presented in Kothare (Automatica, vol. 30, no. 12, pp. 1869–1883, 1994) applicable to linear time-invariant systems (LTI) subject to a saturating actuator. Our synthesis approach takes advantage of the fact that the antiwindup system is a piecewise affine system and thus, we can utilize piecewise quadratic Lyapunov function theory Johansson and Rantzer (IEEE Trans. Autom. Control, vol. 43, no. 4, pp. 555–559, Apr. 1998), Rantzer and Johansson (IEEE Trans. Autom. Control, vol. 45, no. 4, pp. 629–637, Apr. 2000), and Johansson (Proc. 14th World Congr., Beijing, China, 1999, pp. 521–5260) to determine a stabilizing antiwindup control law. The synthesis problem is expressed in terms of bilinear matrix inequalities (BMIs) and is solved using an iterative approach as well as using commercial software. The performance of the system is optimized by minimizing an upper bound on the induced $L_2$ gain of the system. The proposed approach is demonstrated using examples. DEWEY : 629.8 ISSN : 0018-9286 RAMEAU : Liapounov, Fonctions de En ligne : PYT2@lehigh.edu, MAYURESH.KOTHARE@lehigh.edu, eric.f.mulder@exxonmobil.com [article] Synthesis of stabilizing antiwindup controllers using piecewise quadratic lyapunov functions = La synthèse de stabiliser d'anti contrôleurs de remontage employant le lyapunov par morceaux quadratique fonctionne [texte imprimé] / Tiwari, Pradeep Y., Auteur ; Mayuresh V. Kothare, Auteur ; Mulder, Eric F., Auteur . - 2008 . - 2341-2345 p. Automatique Langues : Anglais (eng) in IEEE transactions on automatic control > Vol. 52 N°12 (Decembre 2007) . - 2341-2345 p. Mots-clés : Actuator saturation Antiwindup Bilinear matrix inequalties (BMI) Constrained control Optimal Piecewise linear system Saturation de déclencheur Anti remontage Inequalties bilinéaires matrice Commande contrainte optimale Système par morceaux linéaire Index. décimale : 629.8 Résumé : We consider the problem of antiwindup controller synthesis based on the general antiwindup framework presented in Kothare (Automatica, vol. 30, no. 12, pp. 1869–1883, 1994) applicable to linear time-invariant systems (LTI) subject to a saturating actuator. Our synthesis approach takes advantage of the fact that the antiwindup system is a piecewise affine system and thus, we can utilize piecewise quadratic Lyapunov function theory Johansson and Rantzer (IEEE Trans. Autom. Control, vol. 43, no. 4, pp. 555–559, Apr. 1998), Rantzer and Johansson (IEEE Trans. Autom. Control, vol. 45, no. 4, pp. 629–637, Apr. 2000), and Johansson (Proc. 14th World Congr., Beijing, China, 1999, pp. 521–5260) to determine a stabilizing antiwindup control law. The synthesis problem is expressed in terms of bilinear matrix inequalities (BMIs) and is solved using an iterative approach as well as using commercial software. The performance of the system is optimized by minimizing an upper bound on the induced $L_2$ gain of the system. The proposed approach is demonstrated using examples. DEWEY : 629.8 ISSN : 0018-9286 RAMEAU : Liapounov, Fonctions de En ligne : PYT2@lehigh.edu, MAYURESH.KOTHARE@lehigh.edu, eric.f.mulder@exxonmobil.com

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