NONLINEAR PARAMETER IDENTIFICATION OF RISK TECHNICAL SYSTEMS

Toolbox for Simulation and Parameter Identification of Nonlinear Mechanical Systems

Analysis of nonlinear mechanical systems is becoming increasingly important in many applications in automotive, aerospace and other industries. Many experimental techniques for analysis of nonlinear systems have been developed in recent research. It is important to be able to accurately simulate nonlinear systems for various input signals in order to understand dynamic effects of the nonlineari...

Nonlinear Parameter Identification in Multibody Systems Using Homotopy Continuation

The identification of parameters in multibody systems governed by ordinary differential equations, given noisy experimental data for only a subset of the system states, is considered in this work. The underlying optimization problem is solved using a combination of the Gauss–Newton and single-shooting methods. A homotopy transformation motivated by the theory of state observers is proposed to a...

State-dependent Parameter Nonlinear Systems: Identification, Estimation and Control

A control system design procedure is proposed for a widely applicable class of discrete-time, non-linear systems in which the system nonlinearities are incorporated into a linear model structure in the form of State-Dependent Parameter (SDP) functions. The identification and estimation of both non-parametric and parametric SDP models is discussed briefly. The SDP NMSS model structure is defined...

Identification of Nonlinear Systems

Parameter Identification for Nonlinear Ill-posed Problems

Since the classical iterative methods for solving nonlinear ill-posed problems are locally convergent, this paper constructs a robust and widely convergent method for identifying parameter based on homotopy algorithm, and investigates this method’s convergence in the light of Lyapunov theory. Furthermore, we consider 1-D elliptic type equation to testify that the homotopy regularization can ide...