An output feedback H∞ controller design for linear systems subject to sensor nonlinearities

摘要

In this paper, the output feedback H∞ controller design problem is addressed for linear systems subject to sensor nonlinearity. First, the existence condition of an output feedback controller is derived for systems with sensor sector nonlinearity. A design method for the output feedback H∞ controller is proposed using a linear-matrix inequality (LMI) based approach. The result is then applied to the design of a regional output feedback H∞ controller for the systems subject to sensor saturation. An LMI optimization based approach is proposed to computing the feedback matrices of the regional output feedback H∞ controller. Finally, a numerical example is presented to show the effectiveness of the results.