Robust control for a class of continuous dynamical system governed by semi-explicit DAE with data-sample outputs

Abstract

This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the continuous time domain. We deal with nonlinear models described by differential algebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear sampling-type outputs. Main contribution of present manuscript is the proposal of a linear state feedback control design for this type of uncertain nonlinear system obtaining the required stability and robustness. Due to the need to the state feedback there is a need of the implementation of a Luenberguer observer. Finally, the applicability of the proposed method is illustrated by a computational example. A brief discussion on the main implementation issue is also included.