Sentence examples for the error trajectory from inspiring English sources

The algorithm repeatedly identifies the currently worst resolved parameter (a), orthogonalizes the corresponding full trajectory with the current reduced space (b), computes a POD of the error trajectory (c), and inserts the dominant mode into the basis (d).

The closed-loop system is analyzed showing uniformly ultimately boundedness of the error trajectories.

This open loop controller is used first to control the error trajectories close to zero states and then the DSFC is switched on to achieve asymptotic stability of error states and consequently tracking of the original system states.

Sufficient conditions for the convergence of the control algorithm are theoretically derived and it is shown that the error trajectories converge toward a bounded region around zero where the measure of the steady-state error band depends on the magnitude of the system uncertainties.

Also, it is shown that the asymptotic convergence of the estimation error trajectories is shaped by the landmark geometry and observer design parameters.

This formulation, which uses the concept of a tracking error trajectory in a differential geometric setting, provides a framework for direct comparison of a number of recently proposed nonlinear process controllers.

Error trajectory controllers offer the advantage of being index one differential-algebraic problems with no associated initialization difficulties.

The resulting nonlinear feedback control law yields convergence of the path following error trajectories to zero.

An appropriate sliding surface is acquired through an SMC design such that the error state trajectories of a master slave system will reach such a sliding surface and approaches to the origin.

A novel parameter mapping is proposed to obtain a simple relationship between the design parameter and the ultimate bounds of error trajectories.

In this situation any suitable controller can only provide the boundedness of the tracking-error trajectories within a bounded zone with probability one.