# Robust stability and performance analysis for multiple model adaptive controllers

Buchstaller, Dominic and French, Mark (2009) Robust stability and performance analysis for multiple model adaptive controllers. In, 48th IEEE Conf. on Decision and Control (CDC), Shanghai, China, 16 - 18 Dec 2009. , 4234-4239 . (Submitted).

Abstract—For an Estimation Based Multiple Model Switched Adaptive Control (EMMSAC) algorithm controlling a MIMO minimal LTI plant, $l_p,\ 1\le p\le \infty$ bounds on the gain from the input and output disturbances to the internal signals are obtained which are invariant to the number of models in the plant model set. For a compact uncertainty set it is shown that a realisable EMMSAC algorithm achieves robust stability for any plant within the uncertainty set.