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7 results about "Phase plane" patented technology

In applied mathematics, in particular the context of nonlinear system analysis, a phase plane is a visual display of certain characteristics of certain kinds of differential equations; a coordinate plane with axes being the values of the two state variables, say (x, y), or (q, p) etc. (any pair of variables). It is a two-dimensional case of the general n-dimensional phase space.

Driving stability domain division method and system of unmanned mine vehicle and electronic equipment

The invention discloses a driving stability domain division method and system of an unmanned mine vehicle and electronic equipment. The driving stability domain division method of the unmanned mine vehicle comprises the steps that a nonlinear dynamic model of the unmanned mine vehicle is established; based on the nonlinear kinetic model, generating a phase plane graph taking a side slip angle and a yaw velocity as state vectors; dividing a yaw velocity steady-state boundary based on a vehicle sideslip instability condition by using the phase plane graph, and dividing a side slip angle steady-state boundary based on a saturated tire side slip angle; according to the steady-state boundary of the yaw velocity and the steady-state boundary of the side slip angle, dividing an initial driving stability domain of the unmanned mine vehicle; and on the basis of the real-time state parameters of the unmanned mine vehicle and in combination with the instantaneous yaw-side offset dynamic characteristics of the unmanned mine vehicle, calculating an expansion vertex of the initial driving stability domain to obtain an expanded vehicle real-time driving stability domain.
Owner:BEIJING INST OF TECH

A configuration design method of a three-dimensional off-orbit sail with posture stability

PendingCN122346920AOrbit (dynamics)Energy functional
The application relates to a configuration design method of a three-dimensional orbiting sail with posture stability, and belongs to the field of spacecraft attitude dynamics and structure design.The application is realized by the following method: considering the environmental perturbation of atmospheric resistance, atmospheric resistance moment and gravity gradient moment, an orbit attitude coupling dynamics model of a three-dimensional orbiting sail system is established based on a position vector and Euler angles; the three-dimensional orbiting sail and a spacecraft body are regarded as rigid bodies, and the windward area is considered to be blocked by airflow so as to more accurately describe the orbit movement and attitude movement of the system in the orbiting process; the attitude movement is simplified for the attitude dynamics of the system; the attitude stability of the system in the orbiting process is analyzed by using a phase plane method, a Lyapunov energy function method and other stability analysis methods of nonlinear dynamics systems; the relationship between important structure parameters such as a cone angle and a support rod length of the three-dimensional orbiting sail and the attitude stability is further constructed; and the three-dimensional orbiting sail satisfying the preset attitude stability requirement is obtained based on the relationship, so that the configuration design is realized.
Owner:BEIJING INST OF TECH

Construction of nonlinear response model of soil moisture and implementation system of precise water distribution

The present application relates to the technical field of general control system of nonlinear feedback and precision process control, disclose a kind of construction and accurate water distribution execution system of soil moisture nonlinear response model, including characteristic perception module, infiltration damping observation module, pulse width modulation module and actuator module, module calculates the derivative term of porous medium controlled object characteristic parameter, extracts the instantaneous slope of trajectory vector in infiltration dynamic phase plane, and utilizes determination logic to trigger duty cycle constraint when second derivative term is negative and instantaneous slope absolute value exceeds threshold, and the medium flow rate is adjusted by actuator, the present application utilizes trajectory curvature feature to characterize the nonlinear evolution of internal damping of controlled object, realizes the pre-judgment to infiltration stall point, eliminates the physical phase lag of control loop, suppresses the adjustment overshoot, and ensures the operation of system under complex damping working condition.
Owner:LUOYANG YINGSHANHONG TRACTOR

A circuit breaker mechanical fault detection method based on coil current phase trajectory characteristics and a detection system thereof

PendingCN122386085ACurrent amplitudeLubrication
The application discloses a circuit breaker mechanical fault detection method based on coil current phase trajectory characteristics. The method comprises the following steps: collecting the coil current time series of the circuit breaker during the opening and closing process through high frequency; then performing first-order differential operation on the current time series to obtain the current change rate sequence; then constructing a two-dimensional phase plane coordinate system, taking the current amplitude as the horizontal coordinate and the current change rate as the vertical coordinate, and mapping the discrete time series into a closed phase trajectory curve; finally, extracting the geometric moment features and the contour smoothness index of the phase trajectory curve, and comparing with the reference phase trajectory features to realize the quantitative discrimination of the mechanical jamming, spring fatigue and lubrication failure of the operating mechanism. The application does not need to install external mechanical sensors, and can realize high sensitivity diagnosis of the mechanical state only by using electrical quantities, and has the advantages of small calculation amount, strong anti-interference ability and independence on absolute time synchronization.
Owner:GUIZHOU TIANYI ELECTRICAL +1

A method for three-dimensional measurement based on three-ocular system under inclined stripe coding

This invention discloses a three-dimensional measurement method based on tilted fringe coding in a trinocular system. First, the distance from the phase plane to the optical axis coordinates is calculated based on a linear imaging model. Then, the vector expression passing through the optical center within the phase plane is obtained through the principle of vector superposition. This expression is then cross-multiplied with the phase line vector to obtain the phase plane normal vector. Next, the plane equation of the phase plane is established based on the phase value. Then, new constraint equations are established based on the relationship between the three-dimensional coordinate points and the phase plane. Finally, the three-dimensional coordinates of the object are calculated by combining the two constraint equations of the pinhole camera imaging model. This invention first derives the constraint equations between the three-dimensional coordinates and the phase plane based on a linear abstract model, and then solves for the three-dimensional coordinates through the constraint conditions of the pinhole camera imaging model. This significantly improves the measurement accuracy of the system when the camera's viewing angle, the central projection optical path, and the baseline direction are not the same in a trinocular system.
Owner:NANJING UNIV OF TECH INTELLIGENT COMPUTING IMAGING RES INST CO LTD

Construction of soil moisture content nonlinear response model and accurate water distribution execution system

The invention relates to the technical field of universal control systems for nonlinear feedback and precise process control, and discloses a soil moisture content nonlinear response model construction and precise water distribution execution system which comprises a characterization sensing module, an infiltration damping observation module, a pulse width modulation module and an execution mechanism module. The module calculates derivative terms of characteristic parameters of a porous medium controlled object, extracts an instantaneous slope of a trajectory vector in an infiltration dynamic phase plane, triggers duty ratio constraint by utilizing decision logic when a second derivative term is negative and an absolute value of the instantaneous slope exceeds a threshold value, and adjusts the flow velocity of the medium by an execution mechanism to realize the dynamic infiltration of the porous medium. According to the method, nonlinear evolution of internal damping of the controlled object is represented by utilizing the track curvature characteristics, pre-judgment of an infiltration stall point is realized, physical phase lag of a control loop is eliminated, adjustment overshoot is inhibited, and operation of a system under a complex damping working condition is ensured.
Owner:LUOYANG YINGSHANHONG TRACTOR

Method and system for predicting heat dissipation performance of heat exchanger based on multi-parameter fitting

The invention relates to the technical field of electric data processing, in particular to a heat exchanger heat dissipation performance prediction method and system based on multi-parameter fitting, and the method comprises the steps that multi-dimensional operation parameters of a heat exchanger are obtained, and the multi-dimensional operation parameters comprise a fluid flow speed sequence and a heat dissipation capacity sequence; according to the method, time dislocation of input and output is adaptively corrected based on cross correlation through the lag offset, and the dynamic evolution index quantifies the dependency of a heat dissipation behavior on a historical path through a phase plane track area. And then, the indexes reflecting the physical characteristics are converted into a weight correction coefficient of a self-attention mechanism and a penalty factor of VMD decomposition, so that the model can dynamically adjust the attention degree of historical data according to real-time working conditions, and the problems that the prediction precision is reduced and the response is lagged when the working conditions violently fluctuate in a traditional black box model are effectively solved.
Owner:XIAN LONGYUAN ELECTRICAL APPLIANCE CO LTD