Inversion Algorithm Based on the Unscented Kalman Filter for Inverse Heat Conduction Problems

2013 ◽  
Vol 705 ◽  
pp. 474-482
Author(s):  
Pan Chu
Keyword(s):  
Kalman Filter ◽  
Heat Conduction ◽  
Unscented Kalman Filter ◽  
Initial Conditions ◽  
Measurement Data ◽  
Measurement Information ◽  
Inverse Heat Conduction ◽  
Space Problem ◽  
Inversion Model ◽  
Inverse Heat Conduction Problems

The inverse heat conduction problems (IHCP) analysis method provides a promising approach for acquiring the thermal physical properties of materials, the boundary conditions and the initial conditions from the known temperature measurement data, where the efficiency of the inversion algorithms plays a crucial role in real applications. In this paper, an inversion model that simultaneously utilizes the process evolution information of the objects to be estimated and the measurement information is proposed. The original IHCP is formulated into a state-space problem, and the unscented Kalman filter (UKF) method is developed for solving the proposed inversion model. The implementation of the proposed method does not require the gradient vector, the Jacobian matrix or the Hessian matrix, and thus the computational complexity is decreased. Numerical simulations are implemented to evaluate the feasibility of the proposed algorithm. For the cases simulated in this paper, satisfactory results are obtained, which indicates that the proposed algorithm is successful in solving the IHCP.

scholarly journals Modeling of Dual-Spinning Projectile with Canard and Trajectory Filtering

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Jun Guan ◽  
Wenjun Yi
Keyword(s):  
Kalman Filter ◽  
High Speed ◽  
Unscented Kalman Filter ◽  
Measurement Data ◽  
Degree Of Freedom ◽  
Guidance System ◽  
Measurement Information ◽  
Reliable Measurement ◽  
Kalman Filter Algorithm ◽  
Spinning Projectile

The article establishes a seven-degree-of-freedom projectile trajectory model for a new type of spinning projectile. Based on this model, a numerical analysis is performed on the ballistic characteristics of the projectile, and the trajectory of the dual-spinning projectile is filtered with the unscented Kalman filter algorithm, so that the measurement information of projectile onboard equipment is more accurate and more reliable measurement data are provided for the guidance system. The numerical simulation indicates that the dual-spinning projectile is mainly different from the traditional spinning projectile in that a degree of freedom is added in the direction of the axis of the projectile, the forebody of the projectile spins at a low speed or even holds still to improve the control precision of the projectile control system, while the afterbody spins at a high speed maintaining the gyroscopic stability of the projectile. The trajectory filtering performed according to the unscented Kalman filter algorithm can improve the accuracy of measurement data and eliminate the measurement error effectively, so as to obtain more accurate and reliable measurement data.

Effects of Time Scale on Solutions of Inverse Heat Conduction Problems

2003 ◽  
Author(s):  
Jian Su ◽  
Hua Dong
Keyword(s):  
Heat Conduction ◽  
Time Scale ◽  
Initial Conditions ◽  
Adjoint Equation ◽  
Transient Heat Conduction ◽  
Geometrical Parameters ◽  
Inverse Heat Conduction ◽  
Physical Time ◽  
Inverse Heat Conduction Problems ◽  
Thermal Diffusivities

A wide variety of inverse heat conduction problems have been studied in the last two decades for the estimation of boundary or initial conditions, thermophysical properties, geometrical parameters, or heat source intensities. In most transient heat conduction problems, the mathematical models were cast in dimensionless forms, by using a diffusion time scale. As the thermal diffusivities are usually small, the physical time scales turn to be rather long. In this way, most works show that the inverse analysis yields satisfactory results, without addressing the implications of the physical time scale. The physical time scale, in fact, influences significantly the quality of the inverse solution. We present here a unified treatment for one-dimensional, linear inverse heat conduction problems using the conjugate gradient method with an adjoint equation, and also show that there are physical limitations by the time scale on the inverse solutions.

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