ABSTRACT. Adaptive control of nonlinearly parameterized (NLP) systems is an unknown field, where few results have been proposed up to now. In this paper, we propose a new adaptive control algorithm for systems with multilinear parameterization. Differently from our previous work where the two parameters case was considered, we treat here the general case of n-parameters. It is important to note that the class of multilinear parameterizations belongs to the class of nonlinear parameterizations. The proposed controller is a non certainty equivalence one where only the original parameters, without then the need of overparameterization, are adapted. Simulations show the efficacy of the approach.
KEYWORDS: adaptive control, nonlinear parameterization, convexity, concavity, multilinear parameterization
Among the systems that have nonlinear parameterizations, we can cite a ...