The linearization processes base on the assumption that stiffness and damping are regarded as constants for a particular response amplitude X and certain frequency range of a nonlinear system, and amplitude-dependent natural frequency and damping ratio could be used to construct a relative accurate ...
Examples and How To Linearization involves creating alinear approximation of a nonlinear systemthat is valid in a small region around theoperating or trim point, a steady-state condition in which all model states are constant. Linearization is needed to design a control system using classical design...
Linearization非线性方程的线性化
Linearize model, visualize linearized system characteristics during simulation Alinearizationis a linear approximation of a nonlinear system that is valid in a small region around a specific operating point.Simulink®Control Design™software has both command-line linearization tools and a graphicalModel...
The function {eq}f {/eq} can be approximated by its tangent plane in a neighborhood of {eq}p_1 {/eq}. Now, let the nonlinear system of equations {eq}\begin{eqnarray} X'(t)&=&= g(X)\\ \begin{pmatrix} x'(t)\\ y'(t) \end{pmatrix}&=&\begin{pmatrix} P...
From the features of the cubic spline interpolation, a nonlinear system is converted into the piecewise linear systems, but they are continuously connected on the whole domain. A nonlinear filter is synthesized as an application of the method and is verified through numerical examples. 展开 ...
Linearize Nonlinear Models Obtain a linear approximation of a nonlinear system that is valid in a small region around an operating point. Choose Linearization Tools Simulink Control Design™software lets you perform linear analysis of nonlinear models using a user interface, functions, or blocks. ...
LPV Offsets SimulinkModel Synchronization Fast Restart Featured Examples Linearize Engine Speed Model Linearize a Simulink model of an engine speed control system at multiple output conditions. Improve Linear Analysis Performance Use thefastRestartForLinearAnalysiscommand to speed up multiple calls to compi...
A sufficient condition for exact linearization of a nonlinear system via an exponential transformation is obtained as a Lagrange partial differential equat... T Sakamoto,N Hori,Y Ochi - 《Transactions of the Canadian Society for Mechanical Engineering》 被引量: 11发表: 2011年 Obstacle Avoidance of...
Topological equivalence is then used to introduce and investigate the problem of exact topological feedback linearization of a given nonlinear system. Sufficient conditions for the topological linearizability of planar systems are obtained. They particularly show that there do exist smooth systems that are...