کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4977067 1367690 2017 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Control-based continuation: Bifurcation and stability analysis for physical experiments
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Control-based continuation: Bifurcation and stability analysis for physical experiments
چکیده انگلیسی


- We outline the control-based continuation method.
- We propose a new method for calculating the stability of the periodic orbits.
- We apply this method to a nonlinear experiment.

Control-based continuation is technique for tracking the solutions and bifurcations of nonlinear experiments. The idea is to apply the method of numerical continuation to a feedback-controlled physical experiment such that the control becomes non-invasive. Since in an experiment it is not (generally) possible to set the state of the system directly, the control target becomes a proxy for the state. Control-based continuation enables the systematic investigation of the bifurcation structure of a physical system, much like if it was numerical model. However, stability information (and hence bifurcation detection and classification) is not readily available due to the presence of stabilising feedback control. This paper uses a periodic auto-regressive model with exogenous inputs (ARX) to approximate the time-varying linearisation of the experiment around a particular periodic orbit, thus providing the missing stability information. This method is demonstrated using a physical nonlinear tuned mass damper.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanical Systems and Signal Processing - Volume 84, Part B, 1 February 2017, Pages 54-64
نویسندگان
,