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Fuzzy guaranteed cost sampled-data control of nonlinear systems coupled with a scalar reaction -diffusion process

机译：带有标量反应扩散过程的非线性系统的模糊保成本采样数据控制

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摘要

A fuzzy guaranteed cost sampled-data control problem is addressed in this paper for a class of nonlinear coupled systems of an n-dimensional lumped parameter system modeled by ordinary differential equation (ODE) with a scalar reaction diffusion process represented by parabolic partial differential equation (PDE). A Takagi Sugeno (T-S) fuzzy coupled ODE PDE model is initially proposed to accurately represent the nonlinear coupled ODE PDE system. Based on the T-S fuzzy coupled ODE PDE model, a fuzzy sampled-data controller is subsequently developed via the Lyapunov's direct method to not only locally exponentially stabilize the nonlinear coupled system, but also provide an upper bound of the given cost function. Moreover, a suboptimal fuzzy sampled-data control design is also addressed in the sense of minimizing the upper bound of the cost function. The main contribution of this study lies in that a new parameterized linear matrix inequality (LMI) technique is proposed to reduce the conservativeness of the method, and an LMI-based fuzzy suboptimal sampled-data control design is developed for the nonlinear coupled ODE PDE system based on this parameterized LMI technique. Simulation results on the sampled-data control of hypersonic rocket car are provided to illustrate the effectiveness and merit of the design method. (C) 2015 Elsevier B.V. All rights reserved.
机译：本文针对一类由常微分方程（ODE）建模的n维集总参数系统的非线性耦合系统的模糊保证成本采样数据控制问题，该系统具有抛物线偏微分方程表示的标量反应扩散过程（ PDE）。最初提出了Takagi Sugeno（T-S）模糊耦合ODE PDE模型，以准确表示非线性耦合ODE PDE系统。随后，基于T-S模糊耦合ODE PDE模型，通过Lyapunov直接方法开发了模糊采样数据控制器，不仅可以局部指数稳定非线性耦合系统，而且可以提供给定成本函数的上限。而且，在最小化成本函数的上限的意义上，还解决了次优的模糊采样数据控制设计。这项研究的主要贡献在于，提出了一种新的参数化线性矩阵不等式（LMI）技术以降低该方法的保守性，并且为非线性耦合ODE PDE系统开发了基于LMI的模糊次优采样数据控制设计。基于此参数化的LMI技术。通过对高超音速火箭飞行器采样数据控制的仿真结果，说明了该设计方法的有效性和优点。 （C）2015 Elsevier B.V.保留所有权利。

著录项

  • 来源
    《Fuzzy sets and systems》 |2016年第1期|121-142|共22页
  • 作者

    Wang Jun-Wei; Li Han-Xiong; Wu Huai-Ning;

  • 作者单位

    Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China;

    City Univ Hong Kong, Dept Syst Engn & Engn Management, Tat Chee Ave, Kowloon, Hong Kong, Peoples R China|Cent S Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Hunan, Peoples R China;

    Beijing Univ Aeronaut & Astronaut, Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fuzzy control; Sampled-data control; Lumped parameter system; Distributed parameter system; Linear matrix inequalities (LMIs);

    机译：模糊控制采样数据控制集总参数系统分布式参数系统线性矩阵不等式;

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