Name
Abstract | ||
|---|---|---|
This paper addresses stability analysis and stabilization for Takagi-Sugeno fuzzy systems via a so-called fuzzy Lyapunov function which is a multiple Lyapunov function. The fuzzy Lyapunov function is defined by fuzzily blending quadratic Lyapunov functions. Based on the fuzzy Lyapunov function approach, we give stability conditions for open-loop fuzzy systems and stabilization conditions for closed-loop fuzzy systems. To take full advantage of a fuzzy Lyapunov function, we propose a new parallel distributed compensation (PDC) scheme that feedbacks the time derivatives of premise membership functions. The new PDC contains the ordinary PDC as a special case. A design example illustrates the utility of the fuzzy Lyapunov function approach and the new PDC stabilization method. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1109/TFUZZ.2003.814861 | Fuzzy Systems, IEEE Transactions |
Keywords | Field | DocType |
fuzzy control system,open-loop fuzzy system,multiple lyapunov function,closed-loop fuzzy system,takagi-sugeno fuzzy system,new pdc,premise membership function,fuzzily blending quadratic lyapunov,so-called fuzzy lyapunov function,fuzzy lyapunov function,fuzzy lyapunov function approach,multiple lyapunov function approach,feedback,fuzzy control,indexing terms,membership function,lyapunov function,fuzzy system,stability analysis | Lyapunov function,Lyapunov equation,Mathematical optimization,Control-Lyapunov function,Control theory,Stability conditions,Lyapunov optimization,Lyapunov redesign,Fuzzy control system,Mathematics,Special case | Journal |
Volume | Issue | ISSN |
11 | 4 | 1063-6706 |
Citations | PageRank | References |
366 | 13.62 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| K. Tanaka | 1 | 2967 | 377.99 |
| Hori, T. | 2 | 366 | 13.62 |
| Hua O Wang | 3 | 2319 | 209.28 |