Performance Analysis of Nonlinear Sampled-Data Emulated Controllers

A variety of continuous-time controllers based on the high gain domination approach and the backstepping technique have been developed for a wide class of interconnected systems. Nevertheless, it is a challenging task to digitally implement these controllers in many practical applications such as networked control systems where sampled data with possible delay are available for feedback design. A fundamental difficulty lies in the fact that high robustness requires high control gains which are however constrained by sampling bandwidth. This note analyzes the performance of nonlinear sampled-data emulated controllers in terms of the quantitative tradeoff between robustness and sampling bandwidth.