Name
Title | ||
|---|---|---|
Set membership state and parameter estimation for systems described by nonlinear differential equations |
Abstract | ||
|---|---|---|
This paper investigates the use of guaranteed methods to perform state and parameter estimation for nonlinear continuous-time systems, in a bounded-error context. A state estimator based on a prediction-correction approach is given, where the prediction step consists in a validated integration of an initial value problem for an ordinary differential equation (IVP for ODE) using interval analysis and high-order Taylor models, while the correction step uses a set inversion technique. The state estimator is extended to solve the parameter estimation problem. An illustrative example is presented for each part. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/j.automatica.2004.05.006 | Automatica |
Keywords | Field | DocType |
State estimation,Parameter estimation,Continuous-time systems,Nonlinear systems,Bounded noise,Differential equations,Interval analysis | Differential equation,Mathematical optimization,Nonlinear system,Ordinary differential equation,Control theory,Initial value problem,Set inversion,Estimation theory,Predictor–corrector method,Ode,Mathematics | Journal |
Volume | Issue | ISSN |
40 | 10 | Automatica |
Citations | PageRank | References |
52 | 3.09 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tarek Raïssi | 1 | 330 | 34.58 |
| N. Ramdani | 2 | 52 | 3.09 |
| Yves Candau | 3 | 134 | 10.83 |