A new adaptive law using regularization parameters for robust adaptation

A discrete-time robust adaptive law with multiple regularization parameters for a class of linear time-invariant discrete systems in the presence of disturbances is proposed. The law belongs to the category of leaky integration method. It is shown how to determine theoretically the regularization parameter, which is regarded as a kind of σ in σ-modification. The only a priori information needed to design the adaptive law is an upper bound on the disturbance