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Polynomial chaos based design of robust input shapers / Singh, Tarunraj in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 132 N° 5 (Septembre 2010) 

Public ISBD [article]  in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 5 (Septembre 2010) . - 13 p. Titre : Polynomial chaos based design of robust input shapers Type de document : texte imprimé Auteurs : Singh, Tarunraj, Auteur ; Puneet Singla, Auteur ; Umamaheswara Konda, Auteur Année de publication : 2010 Article en page(s) : 13 p. Note générale : Systèmes dynamiques Langues : Anglais (eng) Mots-clés : Chaos  Delay  filters  Design  engineering  Optimisation  Polynomial  approximation  Probability  Springs  (mechanical) Index. décimale : 629.8 Résumé : A probabilistic approach, which exploits the domain and distribution of the uncertain model parameters, has been developed for the design of robust input shapers. Polynomial chaos expansions are used to approximate uncertain system states and cost functions in the stochastic space. Residual energy of the system is used as the cost function to design robust input shapers for precise rest-to-rest maneuvers. An optimization problem, which minimizes any moment or combination of moments of the distribution function of the residual energy is formulated. Numerical examples are used to illustrate the benefit of using the polynomial chaos based probabilistic approach for the determination of robust input shapers for uncertain linear systems. The solution of polynomial chaos based approach is compared with the minimax optimization based robust input shaper design approach, which emulates a Monte Carlo process. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...] [article] Polynomial chaos based design of robust input shapers [texte imprimé] / Singh, Tarunraj, Auteur ; Puneet Singla, Auteur ; Umamaheswara Konda, Auteur . - 2010 . - 13 p. Systèmes dynamiques Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 5 (Septembre 2010) . - 13 p. Mots-clés : Chaos  Delay  filters  Design  engineering  Optimisation  Polynomial  approximation  Probability  Springs  (mechanical) Index. décimale : 629.8 Résumé : A probabilistic approach, which exploits the domain and distribution of the uncertain model parameters, has been developed for the design of robust input shapers. Polynomial chaos expansions are used to approximate uncertain system states and cost functions in the stochastic space. Residual energy of the system is used as the cost function to design robust input shapers for precise rest-to-rest maneuvers. An optimization problem, which minimizes any moment or combination of moments of the distribution function of the residual energy is formulated. Numerical examples are used to illustrate the benefit of using the polynomial chaos based probabilistic approach for the determination of robust input shapers for uncertain linear systems. The solution of polynomial chaos based approach is compared with the minimax optimization based robust input shaper design approach, which emulates a Monte Carlo process. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...]