Research: Active-Adaptive Control

A tool for convexification

Algorithms that have been developed for adaptation in nonlinearly parametrized systems are significantly simpler in the case of concave/convex parametrizations than for general ones since stability and convergence properties are facilitated considerably by the curvature of the parametrizations. The questions that arises as a result of such a property are, when do general nonlinear parametrizations possess a concave/convex property, and if it is possible to convexify the nonlinearity through a reparametrization into a system with concave/convex parametrization. A careful delineation of such functions is currently underway. This project is a collaborative project with Sup-elec in Paris, France. Collaborators: Romeo Ortega, Mariana Netto.

Publications:

M.S. Netto, A.M. Annaswamy, P. Moya, and R. Ortega, "Adaptive control of a class of nonlinearly parametrized systems using convexification", International Journal of Control, vol. 73, pp. 1312-1321, 2000.