Output feedback H∞ controller design for linear discrete-time systems with sensor nonlinearities

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-infinity performance for the closed-loop systems with sensor sector nonlinearities are derived. A method for designing the output feedback H-infinity controller is then given within the framework of linear matrix inequalities. Based on these results, a controller design for the regional output feedback H-infinity control problem with sensor saturation is proposed. Finally, an example is given to illustrate the effectiveness of the proposed methods.