Karimi, AlirezaKhatibi, HamidLongchamp, Roland2006-05-222006-05-22200710.1016/j.automatica.2007.01.022https://infoscience.epfl.ch/handle/20.500.14299/230225WOS:00024863150001011332Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional approximation of this set is obtained using the orthonormal basis functions and represented by a set of LMIs thanks to the KYP Lemma. Then, an LMI based convex optimization problem for robust pole placement with sensitivity function shaping in two- and infinity-norm is proposed. The simulation results show the effectiveness of the proposed method.Robust controlpolytopic systemconvex optimizationtext::journal::journal article::research article