Non-derivative solution to nonlinear dynamic optimal design of
class two for deformation network monitoring①
class two for deformation network monitoring①
(Department of Geosciences, Shandong University of Science and Technology,
Taian 271019, P.R.China)
Taian 271019, P.R.China)
Abstract: Based on the nonlinear error equation of deformation network monitoring, the mathematical model of nonlinear dynamic optimal design of class two was put forward for the deformation network monitoring, in which the target function is the accuracy criterion and the constraint conditions are the network’s sensitivity, reliability and observing cost. Meanwhile a new non-derivative solution to the nonlinear dynamic optimal design of class two was also put forward. The solving model uses the difference to stand for the first derivative of functions and solves the revised feasible direction to get the optimal solution to unknown parameters. It can not only make the solution to converge on the minimum point of the constraint problem, but decrease the calculating load.
Key words: deformation network monitoring; nonlinear dynamic optimal design; non-derivative analytic method.