Ali, MukhtarMukhtarAliAbbas, Hossam El-Din Mahmoud SeddikHossam El-Din Mahmoud SeddikAbbasWerner, HerbertHerbertWerner2023-02-132023-02-132010Proceedings of the IEEE Conference on Decision and Control (): 5717576 7694-7699 (2010)http://hdl.handle.net/11420/14803This paper considers the synthesis of linear parameter-varying (LPV) controllers for plant models given in input-output LPV form. For SISO systems, a method for synthesizing LPV gain-scheduled controllers in input-output form has been proposed recently, where the a priori choice of a central polynomial plays a critical role, and the synthesis problem is solved using a sum-of-squares relaxation. In this paper we propose a way of simplifying this design procedure, by replacing the sum-of-squares approach by representing the closed-loop model in polytopic input-output LPV form and then using a gradient-based optimization to solve the synthesis BMI. In this procedure the central polynomial is tuned while the closed-loop performance index is minimized over the decision variables, which include the controller parameters. The proposed method is illustrated with simulation examples. ©2010 IEEE.en0743-1546201076947699IEEETechnikIngenieurwissenschaftenConference Paper10.1109/CDC.2010.5717576Other