Output feedback <i>H</i> _∞ controller design for linear discrete-time systems with sensor nonlinearities

Abstract

The problem of output feedback H∞ control for linear discrete-time systems subject to sensor nonlinearities is considered. The existence conditions for the globally asymptotic stability and the H∞ performance for the closed-loop systems with sensor sector nonlinearities are derived. A method for designing the output feedback H∞ controller is then given within the framework of linear matrix inequalities. Based on these results, a controller design for the regional output feedback H∞ control problem with sensor saturation is proposed. Finally, an example is given to illustrate the effectiveness of the proposed methods.