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Title: New iterative learning control approaches for nonlinear non-affine MIMO dynamic systems
Authors: Xu, J. 
Tan, Y.
Issue Date: 2001
Citation: Xu, J.,Tan, Y. (2001). New iterative learning control approaches for nonlinear non-affine MIMO dynamic systems. Proceedings of the American Control Conference 2 : 896-901. ScholarBank@NUS Repository.
Abstract: Iterative learning control is a kind of functional approximation approaches. In this paper, new types of iterative learning control (ILC) approaches are proposed and analyzed for nonlinear non-affine Multi-input-multi-output (MIMO) dynamic systems. First, the important learning performance indices - convergence factor (Q-factor) and convergence order (Q-order) are introduced such that the convergence speed of various ILC approaches can be evaluated in a more rigorous and quantitative manner. Second, "non-linear" ILC: Newton-type ILC approach is proposed to complement the existing linear-type ILC approach in the sense of convergence range and convergence speed. Through rigorous analysis facilitated by the newly introduced performance indices, we show that the Newton-type ILC approach improves the learning convergence significantly in comparison with the linear-type ILC approach, meanwhile requires more of the dynamic system knowledge and are more restrictive on the domain of convergence. Accordingly the Newton-type ILC approach is integrated with the linear-type ILC approach to retain the advantages of both: the linear-type ILC makes the system converge in a much wider range, whereas the Newton-type expedites the convergence when the system is near the equilibrium. It shows that the convergence speed of the Newton-type ILC is faster than that of the linear-type ILC in the sense of Q-factor.
Source Title: Proceedings of the American Control Conference
ISSN: 07431619
Appears in Collections:Staff Publications

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