L2-induced norms and frequency gains of sampled-data sensitivity operators

This paper develops exact, computable formulas for the frequency gain and L₂-induced norm of the sensitivity operator in a sampled-data control system. With sampled data, we refer to a system that combines both continuous-time and discrete time signals, which is studied in continuous time. The expressions are obtained using lifting techniques in the frequency domain and have application in performance and stability robustness analysis taking into account full intersample information