Finite Time Identification Algorithm based on Time Varying Homogeneity and Lyapunov Approach
In this paper the problem of time varying parameter identification is studied. To this aim, an identification algorithm is developed in order to identify time varying parameters in a finite time. The convergence proofs are based on a notion of finite time stability over finite intervals of time, i.e. Short finite time stability; homogeneity for time varying systems; and Lyapunov function approach. The algorithm asks for a condition over the regressor term which is related to the classic identifiability condition corresponding to the injectivity of such a term. Simulation results illustrate the feasibility of the proposed algorithm.