Name
Abstract | ||
|---|---|---|
We introduce an extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity in the bi-limit). Exploiting this extension, we give several results concerning stability, robustness and uniform (in the initial condition) finite time convergence for a homogeneous in the bi-limit vector field. We then introduce a homogeneous in the bi-limit observer and state-feedback for a chain of integrators. Combining these two tools we establish a global asymptotic stabilization result by output feedback for feedback and feedforward systems. We obtain also a finite time observer for globally Lipschitz system. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/CDC.2009.5400263 | CDC |
Keywords | Field | DocType |
approximation theory,convergence of numerical methods,feedforward,nonlinear systems,observers,state feedback,bi limit observer,bi limit vector field,feedback design,feedback systems,feedforward systems,finite time convergence,global asymptotic stabilization,globally Lipschitz system,homogeneous approximation,observer design,output feedback,state feedback | Convergence (routing),Mathematical optimization,Homogeneity (statistics),Control theory,Robustness (computer science),Exponential stability,Initial value problem,Lipschitz continuity,Observer (quantum physics),Mathematics,Feed forward | Conference |
ISSN | Citations | PageRank |
0743-1546 | 0 | 0.34 |
References | Authors | |
12 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent Andrieu | 1 | 328 | 32.83 |
| Praly, L. | 2 | 1835 | 364.39 |
| Alessandro Astolfi | 3 | 1554 | 169.77 |