Exponential stabilization using sliding mode control for singular systems with time-varying delays and nonlinear perturbations

✍ Scribed by Yucai Ding; Hong Zhu; Shouming Zhong

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 447 KB
• Volume: 16
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2011.02.034

✦ Synopsis

a b s t r a c t

This paper considers a sliding mode control (SMC) of singular systems. The systems under consideration involve nonlinear perturbations and time-varying delays. The aim of this paper is to design a sliding mode controller such that the nonlinear singular system is exponentially stable and its trajectory can be driven onto the sliding surface in finite time. By using the Lyapunov-Krasovskii functional and some specified matrices, conditions on exponential stabilization are obtained in the form of strict linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed main results. All these results are expected to be of use in the study of singular time-varying delay systems with nonlinear perturbations.