Creator:
Zhuang, Zhihe ; Tao, Hongfeng ; Chen, Yiyang ; Rogers, Eric ; Oomen, Tom ; Paszke, Wojciech (1975- )
Title:
Subject and Keywords:
iterative learning control ; discrete-time systems ; alternating projection ; non-uniform trial lengths ; input constraint
Abstract:
This paper develops a novel framework for iterative learning control (ILC) design of discrete-time systems with non-uniform trial lengths by using alternating projections. In contrast to existing works for the non-uniform trial length problem, this paper uses the Hilbert space settings and hence the discrete-time system dynamics with non-uniform trial lengths can be represented by multiple affine subspaces (or linear varieties). ; Motivated by the successive projection design between two closed convex sets, the considered ILC problem can be transformed into alternating projections between multiple sets, thenwell-defined convergence properties can be derived. Moreover, an optimal ILC design is produced for systems with non-uniform trial lengths under the proposed framework, which is also extended to the case of input constraints. A numerical case study is given to illustrate the applicability of the new design.
Description:
artykuł zamieszczony w: "International Journal of Robust and Nonlinear Control", Vol. 33, Issue 12