کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4999975 | 1460640 | 2017 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Finite-time output regulation for linear 2Ã2 hyperbolic systems using backstepping
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This contribution presents the backstepping design of output feedback regulators for boundary controlled linear 2Ã2 hyperbolic systems, that achieve regulation in finite time. It is assumed that the disturbances can act in-domain, at both boundaries and at the output to be controlled. The latter need not be available for measurement and consists of in-domain pointwise, distributed or boundary outputs. Firstly, a solution of the finite-time state feedback regulator problem is given on the basis of the regulator equations. They are formulated in backstepping coordinates so that a solution is attainable in closed-form. This leads to a very straightforward regulator design for 2Ã2 hyperbolic systems with a general class of outputs. Then, a finite-dimensional reference observer that converges in finite-time is introduced, which consists of two observers and a delay. This result is extended to the backstepping design of finite-time disturbance observers for 2Ã2 hyperbolic systems with a collocated measurement. In particular, two backstepping disturbance observers are determined so that after introducing a delay the disturbance model and plant states can be estimated in finite-time. Hence, by combining the state feedback regulator with these observers a finite-time output feedback regulator is obtained. For the state feedback regulator and the disturbance observer existence conditions are derived in terms of the plant transfer behaviour. A simple example with an in-domain pointwise and distributed output illustrates the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 75, January 2017, Pages 54-62
Journal: Automatica - Volume 75, January 2017, Pages 54-62
نویسندگان
Joachim Deutscher,