Title :
A method to construct viability kernels for nonlinear control systems
Author :
Turriff, John ; Broucke, Mireille E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
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.
Keywords :
affine transforms; nonlinear control systems; set theory; Frankowska method; construct viability kernel; fisherie management problem; inverted pendulum; linear system; nonlinear control system; safe set; Aquaculture; Centralized control; Control systems; Control theory; Kernel; Linear systems; Nonlinear control systems; Nonlinear systems; Regulators; State-space methods;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160409
