@article {259, title = {Explaining the {\textquotedblleft}Mystery{\textquotedblright} of Periodicity in Inter-Transmission Times in Two-Dimensional Event-Triggered Controlled Systems}, journal = {IEEE Transactions on Automatic Control}, volume = {68}, number = {2}, year = {2023}, month = {February}, pages = {912-927}, author = {R. Postoyan and R. G. Sanfelice and W. P. M. H. Heemels} } @article {137, title = {Distance function design and Lyapunov techniques for the stability of hybrid trajectories}, journal = {Automatica}, volume = {73}, year = {2016}, month = {November}, pages = {38-46 }, chapter = {38}, author = {J. J. B. Biemond and W. P. M. H. Heemels and R. G. Sanfelice and N. van de Wouw} } @article {110, title = {Robust Global Stabilization of the {DC-DC} Boost Converter via Hybrid Control}, journal = {IEEE Transactions on Circuits and Systems I}, volume = {62}, year = {2015}, month = {April}, pages = {1052-1061}, keywords = {hybrid systems, power systems}, author = {T. A. F. Theunisse and J. Chai and R. G. Sanfelice and W. P. M. H. Heemels} } @article {67, title = {An Embedding Approach for the Design of State-Feedback Tracking Controllers for References with Jumps}, journal = {International Journal of Robust and Nonlinear Control}, volume = {24}, number = {11}, year = {2013}, pages = {1585{\textendash}1608}, abstract = {

We study the problem of designing state-feedback controllers to track time-varying state trajectories that may exhibit jumps. Both plants and controllers considered are modeled as hybrid dynamical systems, which are systems with both continuous and discrete dynamics, given in terms of a flow set, a flow map, a jump set, and a jump map. Using recently developed tools for the study of stability in hybrid systems, we recast the tracking problem as the task of asymptotically stabilizing a set, the tracking set, and derive conditions for the design of state-feedback tracking controllers with the property that the jump times of the plant coincide with those of the given reference trajectories. The resulting tracking controllers guarantee that solutions of the plant starting close to the reference trajectory stay close to it and that the difference between each solution of the controlled plant and the reference trajectory converges to zero asymptotically. Constructive conditions for tracking control design in terms of LMIs are proposed for a class of hybrid systems with linear maps and input-triggered jumps. The results are illustrated by various examples. Copyright {\textcopyright} 2013 John Wiley \& Sons, Ltd.

}, keywords = {hybrid systems}, issn = {1099-1239}, doi = {http://dx.doi.org/10.1002/rnc.2944}, url = {https://hybrid.soe.ucsc.edu/files/preprints/67.pdf}, author = {R. G. Sanfelice and J. J. B. Biemond and N. van de Wouw and W. P. M. H. Heemels} } @conference {251, title = {Hybrid Systems with Continuous-Time Inputs: Subtleties in Solution Concepts and Existence Results}, booktitle = {Proceedings of the 60th IEEE Conference on Decision and Control}, year = {2021}, month = {December}, pages = {5368-5373}, author = {W. P. M. H. Heemels and P. Bernard and R. Postoyan and K. Scheres and R. G. Sanfelice} } @conference {203, title = {Inter-Event Times Analysis for Planar Linear Event-Triggered Controlled Systems (I)}, booktitle = {Proceedings of the 2019 IEEE Conference on Decision and Control}, year = {2019}, month = {December}, pages = {1662 - 1667}, author = {R. Postoyan and W. P. M. H. Heemels and R. G. Sanfelice} } @conference {121, title = {Constructing distance functions and piecewise quadratic Lyapunov functions for stability of hybrid trajectories}, booktitle = {Proceedings of the IEEE Conference on Decision and Control}, series = {NULL}, year = {2015}, month = {December}, pages = {2252--2257}, author = {J. J. B. Biemond and W. P. M. H. Heemels and R. G. Sanfelice and N. V. D. Wouw} } @conference {82, title = {Hybrid Control of the Boost Converter: {R}obust Global Stabilization}, booktitle = {Proceedings of the IEEE Conference on Decision and Control}, series = {NULL}, year = {2013}, pages = {3635{\textendash}3640}, keywords = {hybrid systems}, author = {T. A. F. Theunisse and J. Chai and R. G. Sanfelice and W. P. M. H. Heemels} } @conference {64, title = {Tracking control of mechanical systems with a unilateral position constraint inducing dissipative impacts}, booktitle = {Proceedings of the IEEE Conference on Decision and Control}, series = {NULL}, year = {2012}, pages = {4223{\textendash}4228}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6426527}, url = {https://hybrid.soe.ucsc.edu/files/preprints/64.pdf}, author = {J. J. B. Biemond and N. van de Wouw and W. P. M. H. Heemels and R. G. Sanfelice and H. Nijmeijer} } @conference {51, title = {Tracking Control for Hybrid Systems via Embedding of Known Reference Trajectories}, booktitle = {Proc. 30th American Control Conference}, series = {NULL}, year = {2011}, pages = {869{\textendash}874}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5991500}, url = {https://hybrid.soe.ucsc.edu/files/preprints/51.pdf}, author = {R. G. Sanfelice and J. J. B. Biemond and N. van de Wouw and W. P. M. H. Heemels} }