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A note on determining parameters in differential-algebraic models

机译:关于确定微分代数模型中的参数的注释

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The traditional approach to finding the values of the parameters in differential or differential-algebraic models by feasible path optimization needs good initial estimates of the values and requires repeated numerical solution of the model equations. These shortcomings can be overcome by converging to the optimal values and to the solution to the model equations simultaneously via an infeasible path. The model equations are converted into algebraic constraints by orthogonal collocation and the resulting constrained minimization is solved by successive quadratic programming. This procedure is demonstrated on two problems and is shown to be both robust and computationally efficient.
机译:通过可行的路径优化在微分或微分代数模型中查找参数值的传统方法需要对值进行良好的初始估计,并且需要对模型方程进行重复的数值求解。这些缺点可以通过一条不可行的路径同时收敛到最佳值和模型方程的解来克服。通过正交搭配将模型方程转换为代数约束,并通过连续二次编程求解得到的约束最小化。此过程在两个问题上得到了证明,并且被证明既健壮又具有计算效率。

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