@conference {7, title = {Robust hybrid controllers for continuous-time systems with applications to obstacle avoidance and regulation to disconnected set of points}, booktitle = {Proc. 25th American Control Conference}, series = {NULL}, year = {2006}, pages = {3352{\textendash}3357}, abstract = {

We 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.

}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/iel5/11005/34689/01657236.pdf?tp=\&isnumber=\&arnumber=1657236}, url = {https://hybrid.soe.ucsc.edu/files/preprints/7.pdf}, author = {R. G. Sanfelice and M. J. Messina and S. E. Tuna and A. R. Teel} }