Frequency domain approach to computing loop phase margins of multivariable systems / Zhen Ye in Industrial & engineering chemistry research, Vol. 47 N° 13 (Juillet 2008)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 47 N° 13 (Juillet 2008) . - p. 4418–4424 Titre : Frequency domain approach to computing loop phase margins of multivariable systems Type de document : texte imprimé Auteurs : Zhen Ye, Auteur ; Qing-Guo Wang, Auteur Année de publication : 2008 Article en page(s) : p. 4418–4424 Note générale : Bibliogr. p. 4424 Langues : Anglais (eng) Mots-clés : Loop phase margins  Computing loop phase  Multivariable systems Résumé : The loop phase margins of multivariable control systems are defined as the allowable individual loop phase perturbations within which stability of the closed-loop system is guaranteed. This paper presents a frequency domain approach to accurately computing these phase margins for multivariable systems. With the help of unitary mapping between two complex vector space, the MIMO phase margin problem is converted using the Nyquist stability analysis to the problem of some simple constrained optimization, which is then solved numerically with the Lagrange multiplier and Newton−Raphson iteration algorithm. The proposed approach can provide exact margins and thus improves the linear matrix inequalities (LMI) results reported before, which could be conservative. En ligne : http://pubs.acs.org/doi/abs/10.1021/ie701693j [article] Frequency domain approach to computing loop phase margins of multivariable systems [texte imprimé] / Zhen Ye, Auteur ; Qing-Guo Wang, Auteur . - 2008 . - p. 4418–4424. Bibliogr. p. 4424 Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 47 N° 13 (Juillet 2008) . - p. 4418–4424 Mots-clés : Loop phase margins  Computing loop phase  Multivariable systems Résumé : The loop phase margins of multivariable control systems are defined as the allowable individual loop phase perturbations within which stability of the closed-loop system is guaranteed. This paper presents a frequency domain approach to accurately computing these phase margins for multivariable systems. With the help of unitary mapping between two complex vector space, the MIMO phase margin problem is converted using the Nyquist stability analysis to the problem of some simple constrained optimization, which is then solved numerically with the Lagrange multiplier and Newton−Raphson iteration algorithm. The proposed approach can provide exact margins and thus improves the linear matrix inequalities (LMI) results reported before, which could be conservative. En ligne : http://pubs.acs.org/doi/abs/10.1021/ie701693j

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