A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods

A control system with state feedback controllers, in which the fuzzy Lyapunov approach is developed for the stability criterion, is studied. The proposed intelligent design provides a systematic and effective framework for the control systems. The global nonlinear controller is constructed based on...

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Bibliographic Details
Published in:Nonlinear dynamics 2014-04, Vol.76 (1), p.23-31
Main Author: Chen, Cheng-Wu
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Computer simulation
Control
Control methods
Control stability
Control systems
Control systems design
Controllers
Design engineering
Dynamical Systems
Engineering
Feedback control
Fuzzy
Fuzzy control
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Mechanical Engineering
Nonlinear control
Nonlinear dynamics
Nonlinear systems
Original Paper
Robust control
Robustness (mathematics)
Stability criteria
State feedback
System effectiveness
Time delay systems
Vibration
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Description
Summary:A control system with state feedback controllers, in which the fuzzy Lyapunov approach is developed for the stability criterion, is studied. The proposed intelligent design provides a systematic and effective framework for the control systems. The global nonlinear controller is constructed based on T–S (Takagi–Sugeno) fuzzy controller design techniques, blending all such local state feedback controllers. Based on this design, the stability conditions of a multiple time-delay system are derived in terms of the fuzzy Lyapunov theory. The effectiveness and the feasibility of the proposed controller design method are demonstrated through numerical simulations.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-0869-9