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Consequently the vibrations caused by the mechanical resonances around sampling frequency are not only difficult to observe but readily excited by the control input.
Feedback linearization is a well-known technique in nonlinear control in which known system nonlinearities are canceled by the control input leaving a linear control problem.
Consequently the vibrations caused by the mechanical resonances around sampling frequency are not only the difficult to observe but readily excited by the control input.
Because of the extra degrees of freedom introduced to the system and to the transformation group by the control input, some bifurcations of control systems have fundamentally different behavior from those in the classical theory of dynamical systems.
The first control purpose is positioning the micro cantilever tip at a desired trajectory by the control input force, which can be exerted on the micro cantilever in the Y direction by an actuator located at its base.
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The system constraints are tackled by considering the control input as an extended state variable and introducing barrier Lyapunov functions (BLFs) into the backstepping procedure.
By taking the control input as a function of system states, we can transform the stabilization design into a stability problem.
We found that this issue can be addressed by transmitting the control input through a single mode Kerr-nonlinear cavity, with resonance frequency chosen such that the transmission gain (|c'/c|) is peaked close to (c'=xi_{0}).
In [ 22], the upper bound is also computed by using the control input such that the lower bound is minimized.
Thus, a proportional-integral controller (PI controller) is used to decrease the difference between the actual yaw rate V 2 ((= dot{theta })) calculated from the data measured by encoders and the control input v 2 proposed in "Switching control law" section.
This paper addresses the design of robust dynamic output feedback control for highly uncertain systems in which the unknown disturbance might be excited by the dynamics of the control input.
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