%N 14 %D 2012 %A Vito Cerone %A Dario Piga %A Diego Regruto %L eprints2458 %P 41-64 %I World Scientific %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. %B Linear parameter-varying system identification: new developments and trends %S Advanced Series in Electrical and Computer Engineering %T SM identification of input-output LPV models with uncertain time-varying parameters