TY - CHAP Y1 - 2011/06// N1 - 2011 American Control Conference, held in San Francisco (USA), June 29 - July 01, 2011 EP - 1252 A1 - Cerone, Vito A1 - Piga, Dario A1 - Regruto, Diego UR - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5991418&isnumber=5989965 PB - IEEE T2 - Proceedings of American Control Conference (ACC), 2011 TI - Hammerstein systems parameters bounding through sparse polynomial optimization SN - 978-1-4577-0080-4 AV - public ID - eprints2441 N2 - A single-stage procedure for the evaluation of tight bounds on the parameters of Hammerstein systems from output measurements affected by bounded errors is presented. The identification problem is formulated in terms of polynomial optimization, and relaxation techniques based on linear matrix inequalities are proposed to evaluate parameters bounds by means of convex optimization. The structured sparsity of the identification problem is exploited to reduce the computational complexity of the convex relaxed problem. Convergence proper ties, complexity analysis and advantages of the proposed technique with respect to previously published ones are discussed. SP - 1247 KW - Bounded error identification; Hammerstein systems; Parameters bounds; Sparse LMI relaxation ER -