A sum-of-squares approach to synchronization of chaotic systems with polynomial fuzzy systems
- Resource Type
- Authors
- Hsiang-Ting Huang; Gwo-Ruey Yu
- Source
- 2012 International conference on Fuzzy Theory and Its Applications (iFUZZY2012).
- Subject
- Adaptive neuro fuzzy inference system
Mathematical optimization
Polynomial
Explained sum of squares
Fuzzy number
Fuzzy associative matrix
Fuzzy control system
Fuzzy logic
Synchronization
Mathematics
- Language
This paper presents synchronization of chaotic systems by polynomial fuzzy model. The sum of squares (SOS)-based framework contributes a large number of innovations and improvements over the LMI-based approaches to T-S fuzzy modeling and control. Polynomial fuzzy systems provide more general and effective than other fuzzy approaches. This paper derives SOS-based stability conditions for chaotic systems with decay rate and input constraint. Computer simulations illustrate the validity and applicability.