A Design of a Nonlinear Controller for Linear Systems Using Nonlinear H_∞ Output Feedback

Abstract

This paper gives a design method of a nonlinear H_∞ output feedback controller for linear systems. In order to derive a nonlinear controller, nonlinear weighting functions are used. These nonlinear weights are defined as functions of the observer variable. Under some constraints on nonlinear weights, it is shown that a nonlinear output feedback controller is obtained by solving the algebraic Riccati inequality. This paper also shows one of nonlinear weights which satisfy the constraints.