TY - CHAP SN - 978-1-4577-0080-4 PB - IEEE EP - 176 Y1 - 2011/06// SP - 171 T2 - Proceedings of American Control Conference (ACC), 2011 A1 - Cerone, Vito A1 - Piga, Dario A1 - Regruto, Diego AV - public ID - eprints2442 TI - Convex relaxation techniques for set-membership identification of LPV systems N1 - 2011 American Control Conference, held in San Francisco (USA), June 29 - July 01, 2011 UR - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5991414&isnumber=5989965 N2 - Set-membership identification of single-input single-output linear parameter varying models is considered in the paper under the assumption that both the output and the scheduling parameter measurements are affected by bounded noise. First, we show that the problem of computing the parameter uncertainty intervals requires the solutions to a number of nonconvex optimization problems. Then, on the basis of the analysis of the regressor structure, we present some ad hoc convex relaxation schemes to compute parameter bounds by means of semidefinite optimization. Advantages of the new techniques with respect to previously published results are discussed both theoretically and by means of simulations. KW - Bounded error identification; LMI relaxation; Linear Parameter Varying; Parameters bounds ER -