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Heuristic dynamic programming algorithm for optimal control design of linear continuous - time hyperbolic PDE systems / Huai-Ning Wu in Industrial & engineering chemistry research, Vol. 51 N° 27 (Juillet 2012) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 51 N° 27 (Juillet 2012) . - pp. 9310-9319 Titre : Heuristic dynamic programming algorithm for optimal control design of linear continuous - time hyperbolic PDE systems Type de document : texte imprimé Auteurs : Huai-Ning Wu, Auteur ; Biao Luo, Auteur Année de publication : 2012 Article en page(s) : pp. 9310-9319 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Mathematical  programming  Continuous  time  Design  Optimal  control  Algorithm  Dynamic  programming Résumé : This work considers the optimal control problem of linear continuous-time hyperbolic partial differential equation (PDE) systems with partially unknown system dynamics. To respect the infinite-dimensional nature of the hyperbolic PDE system, the problem can be reduced to finding a solution of the space-dependent Riccati differential equation (SDRDE), which requires the full system model. Therefore, a heuristic dynamic programming (HDP) algorithm is proposed to achieve online optimal control of the hyperbolic PDE system, which online collects data accrued along system trajectories and learns the solution of the SDRDE without requiring the internal system dynamics. The convergence of HDP algorithm is established by showing that the HDP algorithm generates a nondecreasing sequence which uniformly converges to the solution of the SDRDE. For implementation purposes, the HDP algorithm is realized by developing an approximate approach based on the method of weighted residuals. Finally, the application on a steam-jacketed tubular heat exchanger demonstrates the effectiveness of the developed control approach. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26132267 [article] Heuristic dynamic programming algorithm for optimal control design of linear continuous - time hyperbolic PDE systems [texte imprimé] / Huai-Ning Wu, Auteur ; Biao Luo, Auteur . - 2012 . - pp. 9310-9319. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 51 N° 27 (Juillet 2012) . - pp. 9310-9319 Mots-clés : Mathematical  programming  Continuous  time  Design  Optimal  control  Algorithm  Dynamic  programming Résumé : This work considers the optimal control problem of linear continuous-time hyperbolic partial differential equation (PDE) systems with partially unknown system dynamics. To respect the infinite-dimensional nature of the hyperbolic PDE system, the problem can be reduced to finding a solution of the space-dependent Riccati differential equation (SDRDE), which requires the full system model. Therefore, a heuristic dynamic programming (HDP) algorithm is proposed to achieve online optimal control of the hyperbolic PDE system, which online collects data accrued along system trajectories and learns the solution of the SDRDE without requiring the internal system dynamics. The convergence of HDP algorithm is established by showing that the HDP algorithm generates a nondecreasing sequence which uniformly converges to the solution of the SDRDE. For implementation purposes, the HDP algorithm is realized by developing an approximate approach based on the method of weighted residuals. Finally, the application on a steam-jacketed tubular heat exchanger demonstrates the effectiveness of the developed control approach. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26132267