Robust fuzzy stabilization of nonlinear time-delay systems subject to impulsive perturbations

• Published in: Communications in nonlinear science & numerical simulation Vol. 80; p. 104953
• Main Authors: Zhang, Jinsen, Chen, Wu-Hua, Lu, Xiaomei
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.01.2020; Elsevier Science Ltd
• Subjects: Fuzzy logic; Fuzzy systems; Impulse-time-dependent Lyapunov function; Impulsive perturbations; Liapunov functions; Linear matrix inequalities; Lower bounds; Mathematical analysis; Mathematical functions; Mathematical models; Matrix methods; Nonlinear systems; PDC control; Robust stabilization; Robustness (mathematics); Stability criteria; Systems stability; Takagi–Sugeno (T-S) fuzzy time-delay systems; Time delay systems; Time dependence; Impulsive perturbations; Takagi–Sugeno (T-S) fuzzy time-delay systems; PDC control; Impulse-time-dependent Lyapunov function

•New analysis and design methods based on the use of impulse-time-dependent Lyapunov function/functional are proposed.•The restrictive condition on the relationship between the size of time-delay and lower bound of impulse intervals imposed by the previous results is removed.•The fuzzy PDC control d...