A Bound for the Disturbance - to - Tracking - Error Gain of a Supervised Set-Point Control System

1 The aim of this paper is to provide a simple analysis of the dynamical behavior of a set-point control system consisting of a poorly modelled process, an integrator and a multi-controller supervised by an estimator-based algorithm employing dwell-time switching. For a slowly switched multi-controller implementation of a finite family of linear controllers, explicit upper bounds are derived for the normed-value of the process’s allowable unmodelled dynamics as well as for the system’s disturbance-to-tracking error gain.