Finite-time H∞ performance analysis for a kind of T-S fuzzy descriptor system with time-delay
- Resource Type
- Conference
- Authors
- Zhu, Baoyan; Liu, Aibin; Gu, Yanli; Zhang, Qingling
- Source
- The 27th Chinese Control and Decision Conference (2015 CCDC) Control and Decision Conference (CCDC), 2015 27th Chinese. :210-215 May, 2015
- Subject
- General Topics for Engineers
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Linear matrix inequalities
Stability analysis
Performance analysis
Delays
Asymptotic stability
Sufficient conditions
Trajectory
Finite-time boundedness
T-S fuzzy descriptor system
Delay-dependent
H∞ performance
Linear matrix inequality
- Language
- ISSN
- 1948-9439
1948-9447
The finite-time H ∞ performance analysis problems are investigated for T-S descriptor systems in this paper. The sufficient conditions are proposed such that the system is finite-time bounded and impulse free and satisfies a prescribed H ∞ norm bound. The obtained method is the ability to eliminate the impulsive behavior of descriptor systems so as to guarantee the existence and uniqueness of solutions. A positive matrix is constructed to overcome the difficulties which will result in an infeasible linear matrix inequality (LMI). By combining the FEASP solver with GEVP solver of the LMI toolbox, we perform simulations to validate the obtained methods for a nonlinear descriptor system via the T-S fuzzy model. It shows the application of the T-S fuzzy method in studying finite-time H ∞ performance analysis problems for a kind of nonlinear descriptor systems.