Abstract
This paper addresses the orbital stabilization of controlled polygonal billiard systems. Such systems form a subclass of so-called planar impulsive hybrid systems that feature controllable guards and state resets. While the structure of the guards and the reset map is completely determined by the system set-up, both mappings are jointly adjustable through exogenous control inputs. As a central feature, control actions cause simultaneous, inseparable changes in the reset time and in the reset action. The paper proposes a hybrid control approach for the stabilization of an admissible stationary orbit.
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Schild, A., Egerstedt, M., Lunze, J. (2009). Orbital Control for a Class of Planar Impulsive Hybrid Systems with Controllable Resets. In: Majumdar, R., Tabuada, P. (eds) Hybrid Systems: Computation and Control. HSCC 2009. Lecture Notes in Computer Science, vol 5469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00602-9_36
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DOI: https://doi.org/10.1007/978-3-642-00602-9_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00601-2
Online ISBN: 978-3-642-00602-9
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