Robust output feedback finite-time stabilization of nonlinear singular large-scale continuous-time systems with delays

Abstract

In this paper, we discuss how to design output feedback controllers for robust finite-time stabilization problems of nonlinear singular large-scale delay systems. A new general class of singular large-scale is composed of linear subsystems coupled by nonlinear perturbations satisfying Lipschitzian condition and subjected to interacted delays and bounded perturbations. By using singular value theory and constructing appropriate Lyapunov–Krasovskii functions, new LMI-based conditions for designing output feedback controllers are presented in terms of solving tractable LMIs. The proposed approach is the first attempt in the field of finite-time stabilization of nonlinear complex interconnected delay systems. An example is provided to illustrate the effectiveness of the proposed results.