Stability analysis for nonlinear switched singular systems via T-S fuzzy modeling
Publication Name
Journal of the Franklin Institute
Abstract
The stability for discrete nonlinear switched singular systems with unstable subsystems is investigated. First, by constructing an appropriate multiple discontinuous Lyapunov function, and utilizing the characteristics of mode-dependent average dwell time switching signals, new stability results for nonlinear switched singular system are established. Then, we adopt the T-S fuzzy modeling method to approximate the nonlinear switched singular systems and get general stability conditions in forms of linear matrix inequalities. Compared to the current results, our technique is more flexible and we also get tighter dwell time boundaries. Furthermore, a numerical example demonstrates the effectiveness of the proposed method.
Open Access Status
This publication is not available as open access
Volume
359
Issue
8
First Page
3717
Last Page
3732
Funding Number
61473265
Funding Sponsor
National Natural Science Foundation of China