Guaranteed cost sampled-data fuzzy control for non-linear systems: a continuous-time Lyapunov approach

This study presents a stability condition for a guaranteed cost sampled-data fuzzy control problem of non-linear systems. A Takagi–Sugeno (T–S) fuzzy model is adopted for the non-linear system and the sampled-data fuzzy controller is designed for a T–S fuzzy system. To develop the guaranteed cost co...

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Bibliographic Details
Published in:IET control theory & applications 2013-09, Vol.7 (13), p.1745-1752
Main Authors: Koo, Geun Bum, Park, Jin Bae, Joo, Young Hoon
Format: Article
Language:English
Subjects:
a guaranteed cost sampled‐data fuzzy control problem
closed loop systems
closed‐loop system
continuous time systems
continuous‐time cost function
continuous‐time Lyapunov approach
continuous‐time Lyapunov sense
Control systems
Dynamical systems
Fuzzy
Fuzzy control
Fuzzy logic
Fuzzy set theory
guaranteed cost control
linear matrix inequalities
Lyapunov methods
Nonlinear dynamics
nonlinear systems
sampled‐data fuzzy controller
Stability
stability condition
Takagi‐Sugeno fuzzy model
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Summary:This study presents a stability condition for a guaranteed cost sampled-data fuzzy control problem of non-linear systems. A Takagi–Sugeno (T–S) fuzzy model is adopted for the non-linear system and the sampled-data fuzzy controller is designed for a T–S fuzzy system. To develop the guaranteed cost control, a new stability condition of the closed-loop system is guaranteed in the continuous-time Lyapunov sense, and its sufficient conditions are formulated in terms of linear matrix inequalities. Based on the stability condition, the guaranteed cost control is considered and minimised for the closed-loop system from the continuous-time cost function. Finally, numerical examples are provided to verify the effectiveness of the proposed technique.
ISSN:1751-8644
1751-8652
1751-8652
DOI:10.1049/iet-cta.2013.0186