Name
Abstract | ||
|---|---|---|
Quadratic stability / stabilization / estimation for Takagi-Sugeno models have now reached maturity. Lots of results concerning performances (H 2, H ∞, D-stability) for TS models with uncertainties, noise, time-delays ⋯ exist in the literature. Nevertheless, it is illusive thinking to solve every nonlinear problem of stability using a simple quadratic Lyapunov function. Moreover, most of the nonlinear systems only have properties of local stability. This work follows the idea of using non quadratic Lyapunov functions for continuous Takagi-Sugeno models restricting the global asymptotic stability to a local one. Therefore, it tries to estimate the best stabilization domain possible. A rather "simple" LMI constraints problem is derived to answer to this question. © 2011 IEEE. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/FUZZY.2011.6007569 | Fuzzy Systems |
Keywords | Field | DocType |
fuzzy lyapunov function (flf),linear matrix inequality (lmi),local stabilization,takagi-sugeno (ts) models,asymptotic stability,linear matrix inequality,lyapunov function,estimation,modeling,stability,stability analysis,nonlinear systems,fuzzy systems,fuzzy system | Nonlinear system,Control theory,Quadratic equation,Exponential stability,Quadratic stability,Fuzzy control system,Quadratic lyapunov function,Mathematics | Conference |
Volume | Issue | ISSN |
null | null | 1098-7584 E-ISBN : 978-1-4244-7316-8 |
ISBN | Citations | PageRank |
978-1-4244-7316-8 | 6 | 0.44 |
References | Authors | |
20 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thierry-Marie Guerra | 1 | 274 | 23.91 |
| Abdelhafidh Jaadari | 2 | 73 | 3.67 |
| Pan, J. | 3 | 6 | 0.44 |
| A. Sala | 4 | 562 | 33.44 |