Estimation of an Uncertain Bilinear Boundary Condition in Linear 2 x 2 Hyperbolic Systems with Application to Drilling

被引：0
|
作者：
Holta, Haavard [1 ]
Anfinsen, Henrik [1 ]
Aamo, Ole Morten [1 ]
机构：
[1] Norwegian Univ Sci & Technol, Dept Engn Cybernet, N-7491 Trondheim, Norway
来源：
2017 17TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS) | 2017年
关键词：
parameter estimation; partial differential equations; hyperbolic systems; linear systems; STABILIZATION; DESIGN; PDES;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, unknown parameters appearing in a special bilinear boundary condition are estimated by using swapping design filters to bring a system of 2 x 2 linear hyperbolic equations to static form. Estimates of the unknown parameters can then be generated by using any standard parameter identification law, and state estimates can be generated from the static relationship and parameter estimates. Sensing is allowed at both boundaries, and the measurement collocated with the uncertain parameters is allowed to be an arbitrary linear combination of the system states. Proof of boundedness of the adaptive law and conditions for parameter convergence are given. The theory is applied to the kick and and loss detection problem in manged pressure drilling and demonstrated in a simulation.
引用
收藏
页码：188 / 193
页数：6
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