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Analysis, design, and tuning of the two-input two-output fuzzy control systems using the simplified fuzzy rules.

机译：使用简化的模糊规则对两输入两输出模糊控制系统进行分析，设计和调整。

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摘要

Most work on fuzzy control theory and application in the literature has dealt with single-input single-output (SISO) cases only. While the significance of multiple-input multiple-output (MIMO) fuzzy control is well recognized, it is much more difficult to study than the SISO control due to the coupling of the output variables and a much larger amount of design parameters of MIMO fuzzy controllers. At present, there exist little rigorous MIMO fuzzy control results, let alone a comprehensive theory. The trial-and-error method is often used for SISO fuzzy control; but it cannot be effective to the MIMO cases partially due to the number of design parameters and coupling. This dissertation attempts to address these issues in an analytical manner. While extensible to MIMO situations, this work is mainly focused on two-input two-output cases.; This dissertation performs a systematic study of analysis, design, and tuning of the TITO Takagi-Sugeno (TS) fuzzy control systems. This study is applied to fuzzy control systems with relationship to their conventional Proportional-Integral-Derivative (PID) counterpart. In this dissertation, the simplified fuzzy rules scheme method is used to dramatically reduce the number of design parameters for TITO fuzzy controllers.; The fuzzy controller structure analysis is investigated. The analysis shows that each output of the TITO TS fuzzy PI, PD, and PID controllers are proved to be the sum of two nonlinear, variable gains PI, PD, and PID controllers, respectively. Also, the analysis shows that the TITO TS fuzzy PI, PD, and PID controllers are linearizable at an equilibrium point, respectively. Also, analysis shows that local stability of TITO TS fuzzy system can be determined using Lyapunov linearization method.; The simplified fuzzy rules scheme method shows a significant improvement to reduce the number of design parameters. The number of design parameters of the TITO TS fuzzy PI controller is reduced from 65 design parameters to only 7. The number of design parameters of the TITO TS fuzzy PID controller is reduced from 385 to 9.; In this dissertation, a new systematic design and tuning procedure is presented. This procedure is applied to TITO TS fuzzy control systems by carrying a well known conventional MIMO control tuning method over the TITO fuzzy controllers. Also, the systematic design and tuning procedure is applied to SISO TS fuzzy control systems.; Finally, a selection of examples in computer simulation is given to illustrate the effectiveness of the proposed study. The examples include tuning TITO practical model and SISO linear and nonlinear models.
机译：文献中有关模糊控制理论和应用的大多数工作仅涉及单输入单输出（SISO）情况。尽管已经充分认识到多输入多输出（MIMO）模糊控制的重要性，但是由于输出变量的耦合以及MIMO模糊控制器的大量设计参数，与SISO控制相比，研究难度更大。 。当前，几乎没有严格的MIMO模糊控制结果，更不用说全面的理论了。反复试验法常用于SISO模糊控制。但部分由于设计参数和耦合的原因，它对MIMO情况无效。本文试图以分析的方式解决这些问题。尽管可以扩展到MIMO情况，但这项工作主要集中在两输入两输出情况下。本文对TITO Takagi-Sugeno（TS）模糊控制系统进行了分析，设计和调整的系统研究。这项研究应用于与常规比例-积分-微分（PID）对应关系的模糊控制系统。本文采用简化的模糊规则方案方法，极大地减少了TITO模糊控制器的设计参数。研究了模糊控制器的结构分析。分析表明，已证明TITO TS模糊PI，PD和PID控制器的每个输出分别是两个非线性，可变增益PI，PD和PID控制器的总和。同样，分析表明，TITO TS模糊PI，PD和PID控制器分别在平衡点处可线性化。分析还表明，可以使用Lyapunov线性化方法确定TITO TS模糊系统的局部稳定性。简化的模糊规则方案方法显示出显着的改进，可减少设计参数的数量。 TITO TS模糊PI控制器的设计参数数量从65个设计参数减少到7个。TITOTS模糊PID控制器的设计参数数量从385个减少到9个；本文提出了一种新的系统设计和调试程序。通过在TITO模糊控制器上执行众所周知的常规MIMO控制调整方法，可以将此过程应用于TITO TS模糊控制系统。此外，系统的设计和调整程序也应用于SISO TS模糊控制系统。最后，给出了一些计算机仿真示例，以说明所提出研究的有效性。示例包括调整TITO实用模型和SISO线性和非线性模型。

著录项

  • 作者

    Alwadie, Abdullah S.;

  • 作者单位

    Wayne State University.;

  • 授予单位 Wayne State University.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 2003
  • 页码 146 p.
  • 总页数 146
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;
  • 关键词

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