Title :
Finite-time H∞ performance analysis for a kind of T-S fuzzy descriptor system with time-delay
Author :
Baoyan Zhu ; Aibin Liu ; Yanli Gu ; Qingling Zhang
Author_Institution :
Sch. of Sci., Shenyang Jianzhu Univ., Shenyang, China
Abstract :
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.
Keywords :
H∞ control; delay systems; fuzzy control; linear matrix inequalities; nonlinear control systems; FEASP solver; GEVP solver; H∞ norm bound; LMI toolbox; T-S descriptor system; T-S fuzzy descriptor system; T-S fuzzy method; T-S fuzzy model; finite-time H∞ performance analysis problem; finite-time bounded; impulse free; impulsive behavior; linear matrix inequality; nonlinear descriptor system; positive matrix; sufficient condition; time-delay; Asymptotic stability; Delays; Linear matrix inequalities; Performance analysis; Stability analysis; Sufficient conditions; Trajectory; Delay-dependent; Finite-time boundedness; H∞ performance; Linear matrix inequality; T-S fuzzy descriptor system;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7161692
