Distributed Parameter Estimation Using Invariant Manifold Approach

A novelty of distributed parameter estimation strategy for a class of nonlinear system with a time-varying parameter is proposed in this paper. The approach relies upon the concepts of invariant manifold and cooperative persistent excitation condition, does not require a priori knowledge of the time-varying parameters. In addition, it is shown that the parameter estimation error is not only bounded but also can converge to a small neighborhood of the origin for sufficiently large value of gain. A numerical simulation example is presented to demonstrate the effectiveness of the proposed method.