The cost function thus enforces all trajectories in the considered interval to have similar behaviors: mathcal{C} = frac{1}{N}sumlimits_{i=1}^{N} left[leftVert overrightarrow{M_{b}}_{perp}^{(i)}(t_{f})right Vert - leftVert overrightarrow{M_{a}}_{perp}^{(i)}(t_{f})right Vert right] (10).
The bond connectivity along the chain trajectory enforces that the swelling is two-dimensional in nature that is stretching of the dendron segments occurs in radial direction.
The nonlinear control law proposed succeeds in enforcing the desired trajectories robustly with respect to uncertainties characterizing the physical and aerodynamical parameters of the helicopter.
To this purpose we design a nonlinear controller, obtained by suitably combining feedforward control actions and high-gain and nested saturation feedback laws, which succeeds in enforcing the desired trajectories robustly with respect to uncertainties characterizing the physical and aerodynamical parameters of the helicopter.
For one, there's no baking police to enforce its strict and fixed trajectory across France.
Then, a second STA enforces the tracking of a predefined trajectory.
Based on the estimate, a variable structure output feedback regulator is proposed to enforce the system states toward the optimal trajectory.
These augmented systems are subject to a specialized augmented forcing which enforces the augmented system to exactly reproduce the trajectory of the nonlinear system when projected onto the lower dimensional (physical) system.
In order to enforce this assumption, the trajectories of the asymptotic orbital latitudes of cosmic rays as a function of rigidity at several stations are plotted in Fig. 9 to show their positions relative to the presumed source direction (24°S) (cf. Inoue et al., 1983).
This paper develops a shape-based method based on a Fourier series approximation that is capable of representing trajectories defined in spherical coordinates and that enforces thrust constraints.
