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A reaction rate uncertainty estimator is introduced which, when coupled with a nonlinear feedback, leads to global stability with acceptable control performance.
The trivial equilibrium of a van der Pol Duffing oscillator with a nonlinear feedback control may lose its stability via Hopf bifurcations, when the time delay involved in the feedback control reaches certain values.
A fuzzy control scheme with a nonlinear feedback control law in each control rule is proposed and an H∞ control synthesis condition is given in terms of solutions to a set of linear matrix inequalities (LMIs).
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Usually, with some simplifications, a nonlinear feedback controller can be designed either by the Lyapunov method or by the feedback linearization approach.
Given that the system is nonlinear with respect to the control input, a nonlinear feedback linearization scheme coupled with a dynamic output feedback controller is developed and integrated with available measurement and computing hardware.
Since the phase detector is often a nonlinear feedback unit with respect to the phase, it is hard to obtain a closed-form solution of determining stability or convergence under most situations.
We focused on this model because the model consists of a transient response within a complex signaling network with nonlinear feedback loops and many interconnected chemical reactions.
We propose a direct modulation method with nonlinear feedback controller which can produce chirp-free modulation of the output pulse without bulky external modulators.
The trivial equilibrium of a controlled van der Pol Duffing oscillator with nonlinear feedback control may lose its stability via a non-resonant interaction of two Hopf bifurcations when two critical time delays corresponding to two Hopf bifurcations have the same value.
By constructing a stochastic multiple Lyapunov function, sufficient conditions for the existence of an observer-based controller with nonlinear feedback terms are derived, such that the closed-loop systems are stochastically stable and satisfy a given l2 l∞ performance index.
This paper presents a design method for these systems that combines very aggressive Nyquist-stable linear control to provide large negative feedback with nonlinear feedback to compensate for the effects of multiple nonlinearities in the loop that threaten stability and performance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com