Brief Control of nonlinear distributed parameter systems using generalized invariants

Authors:
Ahmet PalazoğLu;Ahmet Karakaş
Affiliations:
Department of Chemical Engineering and Materials Science, University of California, Davis, CA 95616, USA;Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, USA
Venue:
Automatica (Journal of IFAC)
Year:
2000

Citing 3
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Abstract

A framework is presented to facilitate the formulation of control strategies for nonlinear DPS. The key contribution is the generalized quantitative expression of the stability condition for any nonlinear DPS. The methodology derives from the use of symmetry groups that determine the group-invariant solutions of a differential system. An invariance condition in the prolonged space of the differential system provides the framework for the distributed control law.