Control of sampled-data systems using a saturated quantizer

This paper is concerned with control for a sampled-data system. A saturated quantizer-based controller is introduced. The corresponding closed loop system is transformed into a system with input saturation and bounded external disturbance. A new Lyapunov functional is constructed to derive a sample-interval dependent condition on the existence of a state feedback controller such that the closed-loop system is exponentially convergent to an ultimate ellipsoid for the initial condition starting from some initial ellipsoid. Based on the condition, the desired controller is designed. An example is given to illustrate the effectiveness of the proposed method.