Title | ||
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Experiment design for parameter estimation in nonlinear systems based on multilevel excitation |
Abstract | ||
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An experiment design procedure for parameter estimation in nonlinear dynamical systems is presented in this paper. The input to the system is designed in such a way that the information content of the data, as measured by a scalar function of the information matrix, is maximized. By restricting the input to a finite number of possible levels, the experiment design problem is formulated as a convex optimization problem which can be solved efficiently. The method is applied to a Continuous Stirred Tank Reactor in a simulation study. The parameter estimation based on the input signal obtained in our procedure is shown to outperform the one based on random binary signals. |
Year | DOI | Venue |
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2014 | 10.1109/ECC.2014.6862274 | ECC |
Keywords | Field | DocType |
control system synthesis,convex programming,matrix algebra,nonlinear dynamical systems,parameter estimation,continuous stirred tank reactor,convex optimization problem,experiment design procedure,information matrix,input signal,multilevel excitation,random binary signals,scalar function,fading,control engineering,monte carlo methods,optimization,mathematical model,convex functions | Nonlinear system,Control theory,Nonlinear programming,Fisher information,Estimation theory,Convex optimization,Scalar field,Mathematics,Binary number,Design of experiments | Conference |
Citations | PageRank | References |
7 | 0.79 | 3 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Marco Forgione | 1 | 20 | 3.03 |
Xavier Bombois | 2 | 318 | 38.21 |
Paul M. J. Van den Hof | 3 | 536 | 104.33 |
Håkan Hjalmarsson | 4 | 1254 | 175.16 |