Stability properties of a class of sampled regulators with sector bounded nonlinear systems (Q1070983)

Recently proposed methods for the design of sampled regulators for unknown linear time invariant systems are considered. It is shown that the regulators satisfy sufficient conditions which guarantee stability when the linear plant is in series with a sector bounded nonlinear, and possibly time varying, element. Furthermore, a simple modification to the methods proposed permits the design of regulators to guarantee closed loop stability when the nonlinear characteristic is in the sector (\(\epsilon\),M) for arbitrary small \(\epsilon >0\) and any \(M>0\).