Sentence examples for by linearizing the nonlinear from inspiring English sources

A linear model is obtained by linearizing the nonlinear terms via the Taylor expansion from the static equilibrium position.

The linear model of AHWR, obtained by linearizing the nonlinear equations is found to be highly ill-conditioned.

The objective of the distance tracking is incorporated into the single nonlinear model predictive control (NMPC) by extending the original linear time invariant (LTI) models obtained by linearizing the nonlinear dynamic model of the vehicle.

Once the optimum values of β are obtained, the parameter uncertainties can be estimated by linearizing the nonlinear model function at the optimum point using the first-order Taylor series expansion method (Fox and Weisberg 2010).

At the second tier, actual control actions are determined in consideration of process constraints by solving a QP problem, which is formulated by linearizing the nonlinear model around the LQI trajectory.

A conceptual framework for studying such solutions is the linear spreading velocity υ*, which is the asymptotic rate with which an initial localized perturbation spreads into an unstable state based on the linear equations obtained by linearizing the full nonlinear equations about the unstable state.

First, the T-S fuzzy model is constructed by linearizing the existing nonlinear equations of motion of the solar sail.

A simplified 3-D model is put forward by means of linearizing the nonlinear function, i.e. the nonlinear part of the elastic strain produced by domain wall motion, and by using the quartic of magnetization to describe domain rotation.

Linearizing the nonlinear system equations about the library maneuvers results in a hybrid linear time-varying model.

This method amounts to linearizing the nonlinear terms in the nonlinear problems.

We present a four-dimensional simplified analytical expression of such hybrid map obtained by linearizing the uncontrolled impulsive hybrid nonlinear dynamics around a desired one-periodic passive hybrid limit cycle.