Performance analysis of sampled-data control systems

This brief paper considers multivariable sampled-data systems with bandlimited exogenous inputs. A procedure is given for the computation of the L 2 induced input to output norm of such a system. In addition, sufficient conditions are given for input-output stability. The digital implementation of an analog controller will generally degrade the performance of the closed-loop system. In light of this, two examples are given to illustrate how this degradation is quantified as a function of the sampling period. In general, this allows the determination of the minimum sampling rate required to recover the performance designed for using the original continuous-time setup.