@incollection{eprints2452, pages = {6297--6302}, note = {51st IEEE Conference on Decision and Control, held in Maui, Hawaii (USA); December 10-13 2012}, author = {Vito Cerone and Dario Piga and Diego Regruto and Roland T{\'o}th}, month = {December}, year = {2012}, booktitle = {Proceedings of the 51st Annual Conference on Decision and Control (CDC)}, publisher = {IEEE}, title = {Fixed order LPV controller design for LPV models in input-output form}, keywords = {Approximation methods; Closed loop systems; Linear matrix inequalities; Optimization; Polynomials; Stability analysis Vectors}, abstract = {In this work, a new synthesis approach is proposed to design fixed-order H? controllers for linear parameter-varying (LPV) systems described by input-output (I/O) models with polynomial dependence on the scheduling variables. First, by exploiting a suitable technique for polytopic outer approximation of semi-algebraic sets, the closed loop system is equivalently rewritten as an LPV I/O model depending affinely on an augmented scheduling parameter vector constrained inside a polytope. Then, the problem is reformulated in terms of bilinear matrix inequalities (BMI) and solved by means of a suitable semidefinite relaxation technique.}, url = {http://eprints.imtlucca.it/2452/} }