Abstract
In this paper, we study the stability and ℋ∞ disturbance attenuation properties for a class of Takagi-Sugeno fuzzy systems composed of a finite number of linear time-invariant symmetric subsystems. We focus our attention on discrete-time systems. We show that when all the subsystems are Schur stable, the fuzzy system is asymptotically stable under arbitrary IF-THEN rule. Furthermore, we show that when all the subsystems are Schur stable and have the- ℋ∞ disturbance attenuation level less than a constant γ, the fuzzy system is asymptotically stable and achieves the ℋ∞ disturbance attenuation level γ under arbitrary IF-THEN rule. The key idea for both stability and ℋ∞ disturbance attenuation analysis in this paper is to establish a common Lyapunov function for all the subsystems in the fuzzy system.
| Original language | English |
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| Pages | 310-315 |
| Number of pages | 6 |
| Publication status | Published - 2004 |
| Event | Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC - Taipei, Taiwan, Province of China Duration: 2004 Sept 2 → 2004 Sept 4 |
Conference
| Conference | Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC |
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| Country/Territory | Taiwan, Province of China |
| City | Taipei |
| Period | 04/9/2 → 04/9/4 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Computer Science Applications
- Electrical and Electronic Engineering