@incollection{eprints2458, number = {14}, pages = {41--64}, series = {Advanced Series in Electrical and Computer Engineering}, title = {SM identification of input-output LPV models with uncertain time-varying parameters}, year = {2012}, publisher = {World Scientific}, author = {Vito Cerone and Dario Piga and Diego Regruto}, booktitle = {Linear parameter-varying system identification: new developments and trends}, url = {http://eprints.imtlucca.it/2458/}, abstract = {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.} }