Analysis of iterative learning control for one-sided Lipschitz nonlinear singular systems. Issue 1 (January 2019)

• Record Type: Journal Article
• Authors: Gu, Panpan; Tian, Senping
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 1(2019)
• Page Start: 196
• Page End: 208
• Publication Date: 2019-01
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.10.014
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper deals with the problem of iterative learning control for a class of singular systems with one-sided Lipschitz nonlinearity. In order to track the given desired trajectory, a closed-loop D-type learning algorithm is proposed for such nonlinear singular systems. Then the convergence result is derived by utilizing the one-sided Lipschitz and quadratically inner-bounded conditions. In this work, the main contribution is to apply the iterative learning approach to one-sided Lipschitz singular systems, while most researches are focus on the Lipschitz systems. It is shown that the algorithm can guarantee the system output converges to the desired trajectory on the whole time interval. Finally, the effectiveness of the presented algorithm is verified by a numerical example.