Brief Paper Induced Norms for Sampled-data Systems*

Key Words--Sampled-data systems; digital control; induced operator norms; performance analysis; discrete-time systems. Abstract--In this paper, we consider a general linear interconnection of a continuous-time plant and a discrete-time controller via sample and hold devices. When the closed loop sampled-data feedback system is internally stable, bounded inputs produce bounded outputs. We present some explicit formulae for the induced norm of the closed loop system with ~ (i.e. peak value) and ~1 (i.e. integral absolute) norms on the input and output signals. 1