Abstract
AbstractThis paper is concerned with linear parameter-dependent systems and considers the notion of uniform ensemble reachability. The focus of this work is on constructive methods to compute suitable parameter-independent open-loop inputs for such systems. In contrast to necessary and sufficient conditions for ensemble reachability, computational methods have to distinguish between continuous-time and discrete-time systems. Based on recently derived sufficient conditions and techniques from polynomial approximation, we present two methods for discrete-time single-input linear systems. Moreover, we illustrate that one method can also be applied to certain continuous-time single-input systems.
Funder
Bauhaus-Universität Weimar
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering