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2 results about "Method of undetermined coefficients" patented technology
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In mathematics, the method of undetermined coefficients is an approach to finding a particular solution to certain nonhomogeneous ordinary differential equations and recurrence relations. It is closely related to the annihilator method, but instead of using a particular kind of differential operator (the annihilator) in order to find the best possible form of the particular solution, a "guess" is made as to the appropriate form, which is then tested by differentiating the resulting equation. For complex equations, the annihilator method or variation of parameters is less time consuming to perform.
Disperse relaxation factor tidal current model based minimum electricity generating cost incremental quantity obtaining method
InactiveCN104616081AReduce the number of timesget fastForecastingSystems intergating technologiesElectricityInterior point method
The invention discloses a disperse relaxation factor tidal current model based minimum electricity generating cost incremental quantity obtaining method. When a minimum electricity generating cost incremental quantity model only containing one balance node tidal current model is solved, the total demand unit change of a system is fixed on a balance node, and an obtained lambda, namely electricity generating cost minimum incremental quantity cannot reflect actual operation of the system in most cases during total demand unit change of a system. The disperse relaxation factor tidal current model based minimum electricity generating cost incremental quantity obtaining method adopts solves the provided model by means of an original antithesis interior point method, and the lambda of the system is controllable according to selected disperse relaxing factors.
Owner:HOHAI UNIV
Spacecraft system disturbance estimation method with random noise suppression intensity measurement
ActiveCN120745143ADigital technique networkDesign optimisation/simulationNonlinear modelClassical mechanics
The invention discloses a spacecraft system disturbance estimation method with random suppression intensity of measured noise, which belongs to the technical field of disturbance estimation of spacecraft systems, and comprises the following steps of: 1, establishing a nonlinear model of a spacecraft system considering the measured noise, and accurately representing the dynamic behavior of a spacecraft in a complex environment by using the model; 2, a variable-order filter with independent parameters is established, the designed filter has the same cascade structure as the observer, and therefore the parameters of the filter and the observer are mutually independent and not coupled; and step 3, aiming at an observer parameter adjustment problem, adopting an undetermined coefficient method, solving a proposed ESO characteristic equation of filtering and a characteristic equation of an expected configured pole, carrying out coefficient comparison on the two equations, and determining an observer parameter. According to the method, the parameters of the filter are increased along with the increase of the order of the filter, and the sum of the parameters of the observer is equal to the order of the observer, so that the problem of excessive parameterization is avoided, and arbitrary pole assignment is realized.
Owner:BEIJING INST OF TECH