Convergence and stability of recursive damped least square algorithm

The recursive least square is widely used in parameter identification. But it is easy to bring about the phenomena of parameters burst_off. A convergence analysis of a more stable identification algorithm_recursive damped least square is proposed. This is done by normalizing the measurement vector entering into the identification algorithm. It is shown that the parametric distance converges to a zero mean random variable. It is also shown that under persistent excitation condition, the condition number of the adaptation gain matrix is bounded, and the variance of the parametric distance is bounded.