Robustness design of nonlinear systems: fuzzy Lyapunov approach

Authors:
Ken Yeh;Meng-Lung Lin;Chen-Yuan Chen;Cheng-Wu Chen
Affiliations:
Department of Civil Engineering, De-Lin Institute of Technology, Tucheng, Taipei, Taiwan, R.O.C.;Department of Tourism, Aletheia University, Danshui Town, Taipei County, Taiwan;Department of Management Information System, Yung-Ta institute of Technology and Commerce, Pingtung, Taiwan;Department of Logistics Management, Shu-Te University, Yen Chau, Kaohsiung, Taiwan
Venue:
AEE'08 Proceedings of the 7th WSEAS International Conference on Application of Electrical Engineering
Year:
2008

Citing 13
Cited 0

Analysis and design of fuzzy control system

Fuzzy Sets and Systems
Design of fuzzy control systems with guaranteed stability

Fuzzy Sets and Systems
Analysis and design for a class of complex control systems part II: fuzzy controller design

Automatica (Journal of IFAC)
Control laws for Takagi—Sugeno fuzzy models

Fuzzy Sets and Systems
Stability conditions of fuzzy systems and its application to structural and mechanical systems

Advances in Engineering Software
Design of a stable fuzzy controller for an articulated vehicle

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An approach to fuzzy control of nonlinear systems: stability and design issues

IEEE Transactions on Fuzzy Systems
Analysis and design of fuzzy controller and fuzzy observer

IEEE Transactions on Fuzzy Systems
Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems

IEEE Transactions on Fuzzy Systems
Robustness design of nonlinear dynamic systems via fuzzy linear control

IEEE Transactions on Fuzzy Systems
Stability of fuzzy control systems with bounded uncertain delays

IEEE Transactions on Fuzzy Systems
A new approach to fuzzy modeling and control of discrete-time systems

IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

This study addresses a fuzzy Lyapunov method for the stability analysis of time-delay fuzzy systems subject to external disturbances. The Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy controller in order to stabilize the time-delay fuzzy systems. According to the controlled system, the H infinity criterion is derived based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. Based on the stability criterion, the time-delay fuzzy systems are guaranteed to be stable.