%0 Book Section %A Cerone, Vito %A Piga, Dario %A Regruto, Diego %B Linear parameter-varying system identification: new developments and trends %D 2012 %F eprints:2458 %I World Scientific %N 14 %P 41-64 %S Advanced Series in Electrical and Computer Engineering %T SM identification of input-output LPV models with uncertain time-varying parameters %U http://eprints.imtlucca.it/2458/ %X In this chapter, we consider the identification of single-input single-output linear-parameter-varying models when both the output and the time-varying parameter measurements are affected by bounded noise. First, the problem of computing exact parameter uncertainty intervals is formulated in terms of semialgebraic optimization. Then, a suitable relaxation tecnique is presented to compute parameter bounds by means of convex optimization. Advantages of the presented approach with respect to previously published results are discussed.