Robust and optimal control using polynomial chaos theory.

机译：使用多项式混沌理论的鲁棒和最优控制。

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Designing controllers necessitates having an accurate model of the system. However, in practice this is not feasible, regardless of whether the model is derived from first principles, through experimentation, or through the use of a linguistic model. Even if it were possible to develop an accurate model, wear or unknown inputs may cause changes in parameters. Therefore, the design process of a controller must include model uncertainty.; The goal of this research is to develop a controller design methodology that includes parametric uncertainty in its scheme utilizing Polynomial Chaos Theory (PCT). First introduced in the form of Homogeneous Chaos Expansion in 1938, PCT is a spectral expansion of random variables that approximates the random process by a complete and orthogonal polynomial basis in terms of certain random variables. PCT can be used to formally apply uncertainty to a stochastic process. It has been applied to fluid dynamics, circuit simulation and even the field of measurement to study the effects of uncertainty.; This research endeavors to exploit the power of PCT in order to apply uncertainty to the modeling process and thereby create a probabilistic model of the system for the design of a robust controller.

机译：设计控制器必须具有准确的系统模型。但是，在实践中，无论该模型是通过实验还是通过使用语言模型从第一性原理衍生而来，这都是不可行的。即使有可能开发出准确的模型，磨损或未知输入也可能导致参数变化。因此，控制器的设计过程必须包括模型不确定性。这项研究的目的是开发一种控制器设计方法，该方法利用多项式混沌理论（PCT）在其方案中包括参数不确定性。 PCT于1938年以均质混沌扩展的形式首次引入，它是随机变量的频谱扩展，它根据某些随机变量，通过一个完整的正交多项式来近似随机过程。 PCT可用于将不确定性正式应用于随机过程。它已被应用于流体动力学，电路仿真甚至测量领域，以研究不确定性的影响。这项研究致力于利用PCT的强大功能，以便将不确定性应用于建模过程，从而创建系统的概率模型，用于设计鲁棒控制器。

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作者
Smith, Anton H. C.;
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作者单位

University of South Carolina.;

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授予单位 University of South Carolina.;
学科 Engineering Electronics and Electrical.
学位 Ph.D.
年度 2007
页码 113 p.
总页数 113
原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
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4. Robust Optimal Control using Polynomial Chaos and Adjoints for Systems with Uncertain Inputs [C] . Sriram, Antony Jameson AIAA computational fluid dynamics conference . 2011

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5. Polynomial chaos based approach for state limited robust control of systems with parametric uncertainty. [D] . Ali, Asad Abbas. 2009

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6. Verification and Optimal Control of Context-Sensitive Probabilistic Boolean Networks Using Model Checking and Polynomial Optimization [O] . Koichi Kobayashi, Kunihiko Hiraishi -1

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7. A Study on Predictive Control Using a Short-Term Prediction Method Based on Chaos Theory. Extension of a Short-Term Prediction Method Based on Chaos Theory and its Application to a Predictive Control Method for a System with Unknown Output. [O] . Noriyasu MASUMOTO, Hiroshi YAMAKAWA 1998

机译：基于混沌理论的短期预测方法预测控制研究。基于混沌理论的短期预测方法及其应用于具有未知输出系统的预测控制方法的应用。
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机译：基于高斯伪谱法和广义多项式混沌算法的随机最优控制问题的混合解

Robust and optimal control using polynomial chaos theory.

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