An improved approach to reliable H∞ guaranteed cost control for discrete time LPV systems with control input constraints

This paper investigates the problem of reliable H∞ guaranteed cost control with multiple criterion constraints for discrete time linear parameter varying (LPV) systems against sensor faults and control input constraints. New sufficient conditions for the existence of a reliable state-feedback controller is proposed to guarantee the closed-loop system against sensor faults satisfying D-stability, the H∞ performance index, the quadratic performance index and control input within constraints for all admissible parameter uncertainties and external disturbances. Due to the introduction of the affine parameter dependent Lyapunov matrix and many extra degrees, these results are less conservative than the existing results, especially for handling the wider range of uncertain parameters and improving both the quadratic performance and the H∞ performance. A simulation example is presented to show the effectiveness and superiority of our proposed approach.