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首页> 外文会议>IEEE International Conference on Information and Automation >New Approach for Automatic Control Modeling and Analysis Using Arithmetic and Visual Fuzzy Logic-based Representations in Fully Fuzzy Environment
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New Approach for Automatic Control Modeling and Analysis Using Arithmetic and Visual Fuzzy Logic-based Representations in Fully Fuzzy Environment

机译：完全模糊环境中算术和视觉模糊逻辑表示自动控制建模与分析的新方法

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摘要

The paper presents a new approach for the fuzzy modeling and analysis of automatic control systems in fully fuzzy environment. The proposed technique is based on the normalized fuzzy matrices and is an extension of the Arithmetic and Visual Fuzzy Logic-based Representations developed recently by Gabr and Dorrah. The approach is also suitable for determining the propagation of fuzziness in automatic control and dynamical systems where all system coefficients are expressed as fuzzy parameters. It is simply based on the assignment of corresponding fuzzy levels for parameters uncertainty that is made in a heuristic way circumventing the previous difficulties in assuming probabilistic or membership functions. Implementations of the approach are carried out for solving selected automatic control problems with parameters expressed in fully fuzzy environment. These problems cover fuzzy impulse response of systems, fuzzy Routh-Hurwitz stability criteria, fuzzy Controllability and Observability, and the stabilization of inverted pendulum through pole placement technique. The results demonstrated the robustness of the proposed formulation and illustrated in a systematic way how the system parameters fuzziness effect on output results can be effectively tracked for monitoring and control. Finally, it is pointed out that the suggested Arithmetic and Visual Fuzzy Logic-based Representations opens the door for a unified theory for fuzzy modeling, analysis and design of continuous and discrete automatic control systems operating in fully fuzzy environment.
机译：本文提出了一种新的模糊环境模糊建模和分析的新方法。该提出的技术基于归一化模糊矩阵，是Gabr和Dorrah最近开发的算术和视觉模糊逻辑的表示的扩展。该方法也适用于确定自动控制和动态系统中的模糊性在所有系统系数被表示为模糊参数中的传播。它简单地基于对参数不确定性的相应模糊水平的分配，这是以启发式方式制造的，以避免概率或隶属函数的先前困难。执行该方法的实现，用于解决在完全模糊环境中表达的参数的选定的自动控制问题。这些问题涵盖了系统的模糊脉冲响应，模糊Routh-Hurwitz稳定性标准，模糊可控性和可观察性，以及通过杆放置技术稳定倒摆的稳定。结果证明了所提出的制剂的稳健性，并以系统的方式说明了如何有效地跟踪对输出结果的系统参数模糊效应进行监测和控制。最后，指出，建议的算术和视觉模糊逻辑的表示为统一的模糊建模，连续和离散自动控制系统的模糊建模，分析和设计进行了统一理论的大门。

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