ILC-tracking control design for repetitive continuous-time linear system using D-stability along the pass

This paper deals with the problem of the iterative learning tracking control (ILC) for continuous-time linear systems (LTI) operating in a repetitive manner. The design of iterative learning control law is developped by using the stability along the pass theory of 2D-repetitif systems. In this case, the convergence of the tracking error has been performed for a given learning controller gains. The main purpose of this control is to guarantee some desired specification of the system dynamic behavior result and the convergence of the output error between iterations. The various given conditions are formulated in terms of LMI (Linear Matrix Inequalities). Numerical results are given to illustrate the effectiveness of the proposed results.

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