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Date of Publication:2013-01-01

Journal:大连理工大学学报

Issue:4

Page Number:586-592

ISSN No.:1000-8608

Abstract:To solve the tracking problems of dynamic nonlinear system , combining Broyden‐like method with a parameter‐optimal iterative learning control scheme ,a new monotonically convergent iterative learning control algorithm is proposed . T he Broyden‐like method is used to iteratively calculate the approximation of the Jacobian matrix , and the parameter‐optimal method is used to optimize the learning gain of the algorithm .Compared with traditional New ton‐method ,the proposed algorithm can avoid the calculation of the inverse of the Jacobian matrix .The property of global and monotonic convergence of the algorithm is also proved theoretically .A simulation is carried out to verify the theory ,and the numerical results demonstrate that the algorithm can accurately track the given target , and has the properties of simple implementation and monotonic superlinear‐velocity convergence .

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