A method to construct viability kernels for nonlinear control systems

Authors:
John Turriff;Mireille E. Broucke
Affiliations:
Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada;Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 5
Cited 0

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Abstract

This paper proposes a method to construct viability kernels for single output nonlinear control systems affine in the control. The safe set is a manifold with boundary and the control is constrained to take values in a compact polyhedron. The results make use of the Frankowska method and the notion of viable capture basins. Three examples illustrate the methodology: the inverted pendulum, a linear system, and a fisheries management problem.