Reliable H∞ control of 2-D continuous nonlinear systems with time varying delays. Issue 12 (December 2015)

• Record Type: Journal Article
• Authors: Ghous, Imran; Xiang, Zhengrong
• Is Part Of: Journal of the Franklin Institute. Volume 352:Issue 12(2015:Dec.)
• Page Start: 5758
• Page End: 5778
• Publication Date: 2015-12
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2015.10.003
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper investigates the reliable H ∞ stabilization problem for a class of two-dimensional (2-D) continuous nonlinear state-delayed systems represented by the Roesser state-space model, where the nonlinear function satisfies the sector bounded condition. By choosing an appropriate Lyapunov–Krasovskii functional, sufficient conditions for asymptotical stability with H ∞ performance of the given system are derived. Then, a reliable controller is proposed such that the resulting closed-loop system is asymptotically stable and has a prescribed H ∞ performance level γ in the presence of actuator failures. Finally, an example is given to illustrate the effectiveness of the proposed method.