Controller design for discrete time generalized systems subject to actuator saturation and L∞ disturbances

This paper deals with the problem of controller design for discrete time generalized systems subject to actuator saturation and L_∞ disturbances. A new sufficient condition guaranteeing regularity, causality and bounded state stability for the closed-loop system subject to actuator saturation and L_∞ disturbances is formulated in term of linear matrix inequalities (LMIs). The problems of estimating the disturbance tolerance capability measured as a bound of the L_∞ norm of the disturbance and the disturbance rejection capability measured as a bound of the L_∞ norm of the output under regularity, causality and bounded state stability of the closed-loop system are transformed and solved as the LMI constrained optimization problems.