L2 gain performance for a class of lipschitz uncertain nonlinear systems via variable gain robust output feedback controllers

We consider a design problem of a variable gain robust output feedback controller with guaranteed l2 gain performance for a class of lipschitz uncertain nonlinear systems. the proposed variable gain robust output feedback controller achieves not only robust stability but also a specified l 2 gain performance. in this paper,we show that sufficient conditions for the existence of the proposed variable gain robust output feedback controller with guaranteed l 2 gain performance are given in terms of linear matrix inequalities (lmis). finally,a simple numerical example is included. © 2013 hidetoshi oya and kojiro hagino.