Abstract
This paper investigates the system stability of T-S fuzzy-model-based control systems based on an Improved fuzzy Lyapunov function. Various non-PDC fuzzy controllers are proposed to close the feedback loop. The characteristic of T-S fuzzy model is considered to facilitate the stability analysis. Under a particular case, the time-derivative information of the membership functions vanishes, which simplifies the stability analysis and leads to relaxed stability analysis results. A general case is then considered. An improved non-PDC fuzzy controller is proposed based on the properties of the T-S fuzzy model. The improved non-PDC fuzzy controller exhibits a favourable property to relax the stability conditions. Based on the fuzzy Lyapunov function, stability conditions in terms of linear matrix inequalities are derived to guarantee the system stability. Simulation examples are given to illustrate the effectiveness of the proposed non-PDC fuzzy control schemes.
| Original language | English |
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| Title of host publication | 2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 |
| Pages | 931-938 |
| Number of pages | 8 |
| DOIs | |
| Publication status | Published - 7 Nov 2008 |
| Event | 2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 - Hong Kong, Hong Kong Duration: 1 Jun 2008 → 6 Jun 2008 |
Conference
| Conference | 2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 |
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| Country/Territory | Hong Kong |
| City | Hong Kong |
| Period | 1/06/08 → 6/06/08 |
ASJC Scopus subject areas
- Software
- Artificial Intelligence
- Applied Mathematics
- Theoretical Computer Science