Asymptotic Stability Analysis and Controller Design for a Class of Switched Uncertain Singular Systems with Time-Delay

Abstract:

The problem of robustly asymptotic stability and controller design for a class of switched uncertain singular systems with time-delay is considered. By means of Lyapunov function and Matrix equivalent transformation, based on multiple Lyapunov function techniques, a delay-dependent sufficient condition is deduced, such that the solution of the switched singular system with time-delay is robustly asymptotic stable for all admissible uncertainties under an appropriate switching law. Furthermore, a convex optimization problem with LMI constraints is formulated such that the maximum bound on the admissible delay can be determined by using the LMI toolbox in MATLAB. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method.

• Periodical: Applied Mechanics and Materials (Volumes 385-386)
• Pages: 890-895
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.385-386.890
• Online since: August 2013
• Authors: Yue Sheng Luo, Shan Gao, Yang Gao, Tong Li, Chun Fang Liu
• Keywords: Asymptotic Stability, Robust Control, Switched Singular System, Time-Delay

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