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Given a continuous-time controller and a Lyapunov function that shows global asymptotic stability for the closed-loop system, we provide several results for modification of the controller for sampled-data implementation.
That is, first we apply the method developed in Section 3 or 4 to the idealized system and obtain the controller achieving BAE; then, in the practical setup containing some unwanted noise, we make a local modification of the controller parameters obtained in the first step, to minimize the cost (Vert Xi _{Q}(s)/Xi _{f}(s Vert _{2}).
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This approach has been implemented with a modification of the FlowVisor controller originally developed at Stanford, which is a special-purpose OpenFlow controller that introduces a software slicing layer between OpenFlow switches and multiple OpenFlow controllers.
Modification of the standard controller which allows changing amount of energy required by the system has been designed.
A modification of the linear controller which addressed one of several practical DIII D nonlinear constraints was tested during the experimental discharges.
As discussed above, this is probably due to the modification of the joint controller (68) due to the lack of velocity measurements in the lab. Figure 10 shows that the head angle of the robot tracked the reference head angle defined by the constraint function (46) and that the tracking error converged to a neighbourhood of the origin.
NVIDIA has made several minor modifications to the controller design in the past few months.
Anti-windup synthesis is proposed in this paper to find a nonlinear modification of the nominal vertical controller that prevents vertical instability and undesirable oscillations but leaves the inner loop unmodified when there is no input saturation.
Figure 7 Proposed modification of sparking controller with traction control.
With the application of fractional calculus in the field of control engineering, Fractional Order (FO) PID controllers are gaining popularity since it requires a slight modification of the integer order PID controller.
We obtain a simple modification of the basic predictor-based controller, which employs a low-pass filter, and has been proposed previously by Mondie and Michiels for achieving robustness to discretization of the integral term in the predictor feedback law.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com