The uniform global output regulation problem for discontinuous systems
| Authors: | Pavlov Alexei, Eindhoven University of Technology, Netherlands
Pogromsky Alexander, Eindhoven University of Technology, Netherlands
van de Wouw Nathan, Eindhoven University of Technology, Netherlands
Nijmeijer Henk, Eindhoven University of Technology, Netherlands |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Output Regulation and Tracking |
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| Keywords: | output regulation, nonlinear systems, discontinuous systems, convergent systems, invariant manifold theorem |
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Abstract
In this paper we formulate and study the uniform global output regulation problem for systems with discontinuous right-hand sides. A characterization of all controllers solving this problem is provided. Based on this characterization, the regulator equations for discontinuous systems are derived. Solvability of these regulator equations is a necessary condition for the solvability of the uniform global output regulation problem. The developed theory is illustrated with an example.
