کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
688992 | 889584 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Probabilistic analysis and control of systems with uncertain parameters over non-hypercube domain
ترجمه فارسی عنوان
تجزیه و تحلیل احتمالاتی و کنترل سیستم هایی با پارامترهای نامشخص در دامنه غیرپیک کوب
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کلمات کلیدی
هرج و مرج چندجملهای، طراحی کنترل پایدار، عدم اطمینان تصادفی، دامنه غیر هیپوکوب، سیستم نظم جزئی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
تکنولوژی و شیمی فرآیندی
چکیده انگلیسی
Generalized polynomial chaos expansion provides a computationally efficient way of quantifying the influence of stochastic parametric uncertainty on the states and outputs of a system. In this study, a polynomial chaos-based method was proposed for an analysis and design of control systems with parametric uncertainty over a non-hypercube support domain. In the proposed method, the polynomial chaos for the hypercube domain was extended to non-hypercube domains through proper parameterization to transform the non-hypercube domains to hypercube domains. Based on the proposed polynomial chaos framework, a constrained optimization problem minimizing the mean under the maximum allowable variance was formulated for a robust controller design of dynamic systems with the parametric uncertainties of the non-hypercube domain. Several numerical examples ranging from integer to fractional order systems were considered to validate the proposed method. The proposed method provided superior control performance by avoiding the over-bounds from a hypercube assumption in a computationally efficient manner. From the simulation examples, the computation time by gPC analysis was approximately 10-100 times lower than the traditional approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Process Control - Volume 24, Issue 4, April 2014, Pages 358-367
Journal: Journal of Process Control - Volume 24, Issue 4, April 2014, Pages 358-367
نویسندگان
Pham Luu Trung Duong, Moonyong Lee,