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3 results about "Describing function" patented technology

In control systems theory, the describing function (DF) method, developed by Nikolay Mitrofanovich Krylov and Nikolay Bogoliubov in the 1930s, and extended by Ralph Kochenburger is an approximate procedure for analyzing certain nonlinear control problems. It is based on quasi-linearization, which is the approximation of the non-linear system under investigation by a linear time-invariant (LTI) transfer function that depends on the amplitude of the input waveform. By definition, a transfer function of a true LTI system cannot depend on the amplitude of the input function because an LTI system is linear. Thus, this dependence on amplitude generates a family of linear systems that are combined in an attempt to capture salient features of the non-linear system behavior. The describing function is one of the few widely applicable methods for designing nonlinear systems, and is very widely used as a standard mathematical tool for analyzing limit cycles in closed-loop controllers, such as industrial process controls, servomechanisms, and electronic oscillators.

A two-way clllc state observation control method based on extended description function modeling

The application discloses a bidirectional CLLLc state observation control method based on extended describing function modeling, belongs to the field of power electronic technology application, and is based on solving the wide voltage output of the bidirectional CLLLc converter and the output voltage stability problem under different load working conditions, and through the establishment of a bidirectional CLLLc harmonic equivalent circuit, the establishment of a large signal model by using an extended describing function, the approximate linearization of the model by using partial derivatives and steady-state solutions, the creation of a bidirectional CLLLc converter state observation equation, and the design of a controller, accurate control of the bidirectional CLLLc converter is realized. The state observation matrix of the application is related to the circuit topology and system control parameters, and therefore the bidirectional CLLLc converter state observation control method based on the extended describing function modeling is suitable for DC / DC conversion under various application scenarios, and under different degrees of load working conditions, the effect of stable output voltage is achieved.
Owner:SOUTHEAST UNIV

H infinite dynamic output feedback control method of SS type IPT system

PendingCN121348845AProgramme controlComputer controlFault toleranceLinear matrix
The invention provides an H infinite dynamic output feedback control method of an SS type IPT system. The method comprises the following steps: constructing an extended description function state space model of the SS type IPT system; an integral error between a reference signal and actual output is introduced on the basis, and an augmented system model is established in combination with external disturbance and measurement noise; based on a Lyapunov function and an H infinity performance index, sufficient conditions of asymptotic stability and disturbance suppression performance of a closed-loop system are deduced and converted into a linear matrix inequality to be solved, so that gain parameters of a dynamic output feedback controller are directly obtained. Under the condition that external disturbance and measurement noise exist, accurate tracking of the reference signal by the system load voltage can still be guaranteed, the robustness and the fault-tolerant capability of the system are improved, meanwhile, dependence on alternating current side variable measurement is avoided, and the method has high engineering application value.
Owner:FUYANG NORMAL UNIVERSITY

A linear fitting analysis method for a dual-frequency induction heating power output frequency control system

This invention provides a linearization fitting analysis method for the output frequency control system of a dual-frequency induction heating power supply. It unifies the coordinated compensation triggered by frequency increment limiting, frequency increment rate of change limiting, and minimum frequency interval constraints into a synthetic nonlinear module. Under quasi-steady-state and small-disturbance conditions, a describing function is used to equivalently linearize this synthetic nonlinear module, obtaining the equivalent gain related to the fundamental amplitude of the two input channels and forming an equivalent linear frequency domain model. Subsequently, frequency domain windows are selected near the high-frequency and low-frequency operating bands, and a unified structure second-order equivalent model is fitted to the equivalent frequency response, obtaining two sets of isomorphic low-order model parameters for the high-frequency and low-frequency channels. Based on these parameters, the frequency compensation increment required for feedforward compensation is quickly calculated to reduce online computation and improve real-time performance. When the fitting residual exceeds a preset threshold or enters a strongly nonlinear operating condition, model parameter updates and model calls are stopped, and the linearization fitting analysis is exited.
Owner:INST OF ELECTRICAL ENG CHINESE ACAD OF SCI