"error trajectory" is a correct and usable expression in written English
It is used to refer to a series of errors that one makes along the path to achieving a goal. For example, "After making several errors, the team finally found the correct error trajectory to finish the project on time."
Error trajectory controllers offer the advantage of being index one differential-algebraic problems with no associated initialization difficulties.
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.
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).
Figure 5 Synchronization error trajectories (pmb{e_{i1}(t)}), (pmb{i=1,ldots,8}).
The resulting nonlinear feedback control law yields convergence of the path following error trajectories to zero.
The closed-loop system is analyzed showing uniformly ultimately boundedness of the error trajectories.
Figure 1 Error trajectories with (pmb{sigma=2}) (a) the state (pmb{x_{1}}) and its estimation; (b) the state (pmb{x_{2}}) and its estimation; (c) the error state.
A novel parameter mapping is proposed to obtain a simple relationship between the design parameter and the ultimate bounds of error trajectories.
This phenomenon is better investigated in Figure 15b and 15c where different error trajectories for the initial 4 s are shown for MMSES and BJ, respectively.
Also, it is shown that the asymptotic convergence of the estimation error trajectories is shaped by the landmark geometry and observer design parameters.
Figure 8 State trajectories of the master-slave system with initial conditions x ( 0 ) = ( 60, − 100, 100 ) T and y ( 0 ) = ( − 80, 100, − 100 ) T. Figure 9 Synchronization error trajectories.
