Robust hybrid controllers for continuous-time systems with applications to obstacle avoidance and regulation to disconnected set of points

TitleRobust hybrid controllers for continuous-time systems with applications to obstacle avoidance and regulation to disconnected set of points
Publication TypeConference Paper
Year of Publication2006
AuthorsSanfelice R.G, Messina M.J, Tuna S.E, Teel A.R
Conference NameProc. 25th American Control Conference
Keywordshybrid systems
AbstractWe give an elementary proof of the fact that, for continuous-time systems, it is impossible to use (even discontinuous) pure state feedback to achieve robust global asymptotic stabilization of a disconnected set of points or robust global regulation to a target while avoiding an obstacle. Indeed, we show that arbitrarily small, piecewise constant measurement noise can keep the trajectories away from the target. We give a constructive, Lyapunov-based hybrid state feedback that achieves robust regulation in the above mentioned settings.
URLhttps://hybrid.soe.ucsc.edu/files/preprints/7.pdf
DOI