Nonlinear system identification employing automatic differentiation

作者：Schumann Bischoff Jan; Luther Stefan; Parlitz Ulrich^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2013, 18(10): 2733-2742.

DOI：10.1016/j.cnsns.2013.02.017

• Nonlinear modelling
• Parameter estimation
• Delay differential equations
• Data assimilation

An optimization based state and parameter estimation method is presented where the required Jacobian matrix of the cost function is computed via automatic differentiation. Automatic differentiation evaluates the programming code of the cost function and provides exact values of the derivatives. In contrast to numerical differentiation it is not suffering from approximation errors and compared to symbolic differentiation it is more convenient to use, because no closed analytic expressions are required. Furthermore, we demonstrate how to generalize the parameter estimation scheme to delay differential equations, where estimating the delay time requires attention.

• 出版日期2013-10