Publication | Closed Access
Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes
164
Citations
7
References
2004
Year
Numerical AnalysisParameter EstimationEngineeringNonlinear OptimizationParameter IdentificationNonlinear Dynamic ProcessesPde-constrained OptimizationUncertainty QuantificationSystems EngineeringRobust OptimizationMathematical Control TheoryInverse ProblemsParameter EstimatesProcess ControlBusinessConfidence RegionRobust Optimal ExperimentsNumerical MethodsDynamic Optimization
Optimization of experiments for nonlinear dynamic processes to maximize the reliability of parameter estimates subject to cost and other inequality-constraints leads to very complex optimal control problems. First, the objective function already depends on a generalized inverse of the Jacobian of the underlying parameter estimation problem. Second, optimization results depend on the assumed parameter values which are only known to lie in a confidence region. Hence robust optimal experiments are required. New efficient methods and numerical results are presented.
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