Chughtai, Saulat S.Saulat S.ChughtaiAbbas, Hossam El-Din Mahmoud SeddikHossam El-Din Mahmoud SeddikAbbasWerner, HerbertHerbertWerner2023-02-152023-02-152008-07IFAC Proceedings Volumes (IFAC-PapersOnline) 41(2): 14319-14323 (2008)http://hdl.handle.net/11420/14835This paper presents an algorithm for solving optimization problems with bilinear matrix inequality constraints. The algorithm is based on a combination of gradient-based optimization and LMIs, which makes it fast and enables it to handle a large number of decision variables. It is applied to two controller synthesis problems: static output feedback controller synthesis and robust controller synthesis for linear parameter varying (LPV) systems using the idea of quadratic separation. Since the second problem has large number of decision variables, a hybrid approach is applied, in which LMI solvers are used for the evaluation of the cost function. The algorithm is applied to two examples, and results are compared with some existing approaches.en1474-6670200821431914323ElsevierAlgorithms and softwareOptimization based controller synthesisRobust controller synthesisTechnikIngenieurwissenschaftenConference Paper10.3182/20080706-5-KR-1001.02426Conference Paper