Topic
Describing function
About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.
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TL;DR: An analysis of two most popular continuous sliding-mode algorithms: The power-fractional sliding- Mode algorithm and a second-order sliding- mode algorithm known as the super-twisting is carried out in the frequency domain with the use of the describing function method.
Abstract: An analysis of two most popular continuous sliding-mode algorithms: The power-fractional sliding-mode algorithm and a second-order sliding-mode algorithm known as the super-twisting is carried out in the frequency domain with the use of the describing function method. It is shown that in the presence of an actuator, the transient process converges to a periodic motion. Parameters of this periodic motion are analyzed. A few examples are considered to illustrate the obtained results.
321 citations
TL;DR: In this paper, the authors describe experiments in which digital processing of experimental records is used to determine viscous and Coulomb friction terms associated with a prototype electro-rheological (ER) damper.
309 citations
TL;DR: A study of this problem, which relates the maximum achievable object stiffness to the elements of the control loop, examines how the sampling rate, quantization, computational delay, and amplifier dynamics interact with the inertia, natural viscous, and Coulomb damping of the haptic device.
Abstract: Rendering stiff virtual objects remains a core challenge in the field of haptics. A study of this problem is presented, which relates the maximum achievable object stiffness to the elements of the control loop. In particular, we examine how the sampling rate, quantization, computational delay, and amplifier dynamics interact with the inertia, natural viscous, and Coulomb damping of the haptic device. Nonlinear effects create distinct stability regions, and many common devices operate stably, yet in violation of passivity criteria. An energy-based approach provides theoretical insights, supported by simulations, experimental data, and a describing function analysis. The presented results subsume previously known stability conditions
295 citations
Book•
01 Jan 1986TL;DR: State-space models describing function analysis piecewise-linear systems stability control system performance discrete-time systems solutions to exercises.
Abstract: State-space models describing function analysis piecewise-linear systems stability control system performance discrete-time systems solutions to exercises.
269 citations
TL;DR: An optimal interval estimate of the regression function is obtained, providing its uncertainty range for any assigned regressor values, and the set estimate allows to derive an optimal identification algorithm, giving estimates with minimal guaranteed L"p error on the assigned domain of the regressors.
260 citations