This paper addresses the problem of stability analysis of sampled-data control of linear systems in the presence of input magnitude and rate saturation. A position-type feedback modeling for the actuator is considered. Based on the use of a discrete-time quadratic Lyapunov function, a loopedfunctional and generalized sector relations (to cope with nested saturation functions), LMI conditions are derived to assess local (regional) and global stability of the sampled-data closed-loop systems under aperiodic sampling strategies.