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

This paper discusses a design problem of an adaptive robust output feedback controller with ℒ₂ gain performance for a class of uncertain nonlinear systems. The system considered here is composed of a linear part perturbed by an additive nonlinearity which depends on both time and state. Besides, only information about nonlinearity is that it satisfies a quadratic constraint. In this paper, we present a LMI-based design method of an adaptive robust output feedback controller with ℒ₂ gain performance.