A dynamic programming algorithm for input estimation on linear time-variant systems

被引:30
|
作者
Nordstrom, Lars J. L. [1 ]
机构
[1] Chalmers Univ Technol, Dept Appl Mech, SE-41296 Gothenburg, Sweden
关键词
inverse problem; indirect measurements; time-variant systems; time domain; dynamic programming; state space;
D O I
10.1016/j.cma.2006.01.002
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A time domain input estimation algorithm for linear systems with general time-varying parameters is developed. The algorithm is an extension of an existing approach for time-invariant state space models and several new features, such as higher order input approximations and an extended time-variant output relation including direct input influence, are introduced. Numerical examples are given to illustrate the new features and show that the algorithm is valid in a general time-variant setting. In particular, excellent results are obtained for an ill-posed moving force identification problem with noise-contaminated data, treated with Tikhonov regularization. (c) 2006 Elsevier B.V. All rights reserved.
引用
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页码:6407 / 6427
页数:21
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