Topic
Describing function
About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, a sliding mode control algorithm is developed for the coupled modal space control of a flexible structure when the bounds on the system parameters' errors are known, and a boundary layer is used around each sliding hyperplane to eliminate the chattering phenomenon, and three types of steady-state solutions for the closed-loop system inside the boundary layers are found: the zero solution, the constant nonzero solution, and the limit cycle.
Abstract: The sliding mode control algorithm is developed for the coupled modal space control of a flexible structure when the bounds on the system parameters' errors are known. An explicit method to construct the desired sliding hyperplanes for the coupled modal sliding mode control is formulated. A boundary layer is used around each sliding hyperplane to eliminate the chattering phenomenon. Three types of steady-state solutions for the closed-loop system inside the boundary layers are found: the zero solution (origin of the state space), the constant nonzero solution, and the limit cycle. The amplitudes, phase angles, and the frequency of the limit cycle have been estimated by the describing function approach. The modal displacements corresponding to the constant nonzero solution have been obtained analytically. The stability of the zero solution has been examined by the linearized system analysis. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analyses.
20 citations
TL;DR: A novel control strategy for BWPT is proposed, which can achieve the phase synchronization and maximum efficiency point tracking independent of the real-time wireless communication.
Abstract: For the bidirectional wireless power transfer (BWPT) technology, the phase synchronization between the transmitting and receiving converters is very essential and difficult to achieve by wireless communication between two sides because the delay and data transfer interval of wireless communication severely influence the control performance. This article proposes a novel control strategy for BWPT, which can achieve the phase synchronization and maximum efficiency point tracking independent of the real-time wireless communication. To solve the overshoot and oscillation problem incurred by the proposed control strategy and the nature of the system itself, the dynamics of a series–series compensated BWPT system is then analyzed and a small-signal model of this system is derived based on the generalized state space averaging and extended describing function methods. Using the small-signal model, a BWPT control system based on the proposed control strategy is designed and optimized. The validity of the proposed strategy and the performance of the control system are verified experimentally using a 3.3-kW prototype system.
20 citations
01 Sep 1995
TL;DR: In this article, a robust controller is designed for the series parallel resonant DC/DC converter based on the linear quadratic Gaussian/loop transfer recovery (LQG/LTR) methodology.
Abstract: A robust controller is designed for the series parallel resonant DC/DC converter based on the linear quadratic Gaussian/loop transfer recovery (LQG/LTR) methodology. The controller structure, comprising a servo-compensator with an internal model, reference state observer, plant and disturbance state observer, ensures tracking of the reference voltage and rejection of system disturbances. The controller performance is insensitive to converter parametric and operational variations. The controller design is based on a converter small-signal model derived using the principles of the describing function and harmonic balance on the nonlinear time-varying converter equations. The controlled converter is shown by computer simulation to perform excellently well, with very good tracking and disturbance capabilities in the presence of changes of load and input voltage.
20 citations
TL;DR: For purposes of analysis it is shown that the delta modulator can be replaced by an equivalent linear system with additive noise at its output which is linearly uncorrelated with the input.
Abstract: Analytical, experimental, and computer simulation results are given for the error spectrum of a delta modulator when probed by stationary, band limited, gaussian noise. These three complementary methods are used to increase our quantitative understanding of the nonlinear system with memory. The error is conveniently split into two components: one linearly dependent on the input signal and one linearly independent of the input signal. In order to isolate these two types of errors we use two measurement techniques. For purposes of analysis we show that the delta modulator can be replaced by an equivalent linear system with additive noise at its output which is linearly uncorrelated with the input. The equivalent linear system may be approximated by using methods involving statistical linearization or the deterministic describing function. Alternately, the equivalent linear system may be obtained from computer simulation.
20 citations
TL;DR: In this article, the steady-state nonlinear response characteristics of a linear compressor were investigated theoretically and experimentally, and dynamic models for steady state response prediction were formulated by applying the describing function method.
Abstract: Steady-state nonlinear response characteristics of a linear compressor are investigated theoretically and experimentally. In the theoretical approach, motions of not only piston but also cylinder are considered and dynamic models for steady-state response predictions are formulated by applying the describing function method. Effects of piston mass on the jump phenomena are predicted by the derived models as an example of design parameter variation and compared with actual experimental results.
20 citations