A Method for Estimating Uncertain Parameters in Dynamical Systems
A technology to determine parameters and dynamics, applied in the aerospace field, can solve problems such as increased weight, volume, energy consumption and cost, high-frequency fluctuations, jumps, etc., to achieve favorable system stability, strong adaptability, and improved robustness sexual effect
Active Publication Date: 2017-07-07
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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[0002] Traditional estimation methods for uncertain parameters in dynamical systems require direct or indirect measurement of the estimated parameters and filter estimation based on the statistical characteristics of the estimated uncertain parameters. Therefore, corresponding measurement components need to be added to the dynamical system, so that It increases the weight, volume, energy consumption and cost, and the parameter values estimated by the filter estimation method based on statistical characteristics often have more high-frequency fluctuations or even jumps, which is difficult to objectively and accurately reflect the real state of the parameters, and has great influence on the stability of the system. Sex can also have adverse effects
For example, in the process of spacecraft re-entering the earth or entering the atmosphere of Mars, the uncertainties in the initial state parameters and aerodynamic parameters will cause many adverse effects on the determination of the spacecraft state parameters
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[0046] Such as figure 1 A schematic flow chart showing the uncertain parameter estimation method of the present invention, such as figure 1 Shown, the estimation method of uncertain parameter in a kind of dynamical system of the present invention, its implementation process is as follows:
[0047] Step A, the preset of uncertain parameters in the dynamical system:
[0048] Find out the uncertain parameter ρ to be estimated in the dynamical system and the variation range of its parameter value [ρ min ,ρ max ], select an existing commonly used probability distribution law (for example: uniform distribution, normal distribution, exponential distribution, Poisson distribution, etc.) that can best reflect the distribution characteristics of the estimated uncertain parameter in this interval or according to the Define the rule to take N different set values ρ i , i=1,2,…,N; among them, ρ min is the minimum value of the variable range of the uncertain parameter, ρ max is the ...
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The invention provides an estimation method for uncertain parameters in a dynamic system. The method comprises the following steps of on the basis of a multi-model adaptive estimation calculation method, and through the calculation method for presetting uncertain parameters in a dynamic system and changing a condition probability density function, adding a step for solving the uncertain parameters in the dynamic system, thereby finishing adaptive improvement on the multi-model adaptive estimation algorithm, and further realizing synchronous estimation for the state parameters and uncertain parameters in the dynamic system through utilizing the improved multi-model adaptive estimation algorithm. According to the method provided by the invention, as state estimation is carried out on the dynamic system, the precise estimation for the uncertain parameters in the dynamic system is synchronously performed, thus, elements specially used for measuring the uncertain parameters in the dynamic system are not required, and the weight, volume, energy consumption and cost are reduced.
Description
technical field [0001] The invention belongs to the field of aerospace technology, in particular to a method for estimating uncertain parameters in a dynamic system. Background technique [0002] Traditional estimation methods for uncertain parameters in dynamical systems require direct or indirect measurement of the estimated parameters and filter estimation based on the statistical characteristics of the estimated uncertain parameters. Therefore, corresponding measurement components need to be added to the dynamical system, so that It increases the weight, volume, energy consumption and cost, and the parameter values estimated by the filter estimation method based on statistical characteristics often have more high-frequency fluctuations or even jumps, which is difficult to objectively and accurately reflect the real state of the parameters, and has great influence on the stability of the system. Sex can also have adverse effects. For example, when a spacecraft re-enter...
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IPC IPC(8): G06F17/50
Inventor 李爽江秀强
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS