@misc{Zhuang_Zhihe_Alternating, author={Zhuang, Zhihe and Tao, Hongfeng and Chen, Yiyang and Rogers, Eric and Oomen, Tom and Paszke, Wojciech (1975- )}, howpublished={online}, language={eng}, 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).}, abstract={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.}, type={artykuł}, title={Alternating projection-based iterative learning control for discrete-time systems with non-uniform trial lengths}, keywords={iterative learning control, discrete-time systems, alternating projection, non-uniform trial lengths, input constraint}, }