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On fuzzy logic systems, nonlinear system identification, and adaptive control.

机译:关于模糊逻辑系统,非线性系统识别和自适应控制。

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A broad range of topics concerning fuzzy logic systems, nonlinear system identification and adaptive control are addressed in this thesis to achieve our main objective, which is to develop effective and reliable fuzzy logic approaches for identification and control of ill-defined, nonlinear dynamic systems.; First, improvements are made of existing fuzzy logic systems, which include defining two on-line quantitative measures for IF-THEN rule performance, and introducing a statistical confidence measure for approximation accuracy of FLS estimators. To facilitate on-line applications, a simplification is proposed of fuzzy inference computation, and the bounds of approximation errors are derived. Next, a complete procedure is presented for formulating expert knowledge based fuzzy logic controllers, and experimental results are demonstrated on a real mechanical system. The empirical FLC is also compared with PD controllers, and their respective properties discussed. Following is an optimal training scheme for fuzzy logic systems which combines a backpropagation algorithm with a least square estimation technique, synergistically combining them.; Observing the fact that the fuzzy logic systems being used to date are static in nature while the physical systems of interest are generally dynamic, a novel fuzzy logic system structure, the DFLS, which is characterized by inclusion of dynamics, is proposed, and its universal approximation property proved. Based on the DFLS, an identification algorithm is further developed, and its stability properties analysed theoretically. Its application to nonlinear, ill-defined dynamic systems is illustrated via a variety of examples, where the significance of human expert knowledge in improving system performance is demonstrated and a comparison of performance between DFLS and FLS identifiers is presented. In addition, a novel DFLS based indirect adaptive control scheme is developed, and its closed loop system performance and stability properties theoretically analysed. Two approaches are presented to estimate an unknown control gain function, g. One is based on a self-tuning scheme, the other is a FLS approach, and their respective properties are discussed. The DFLS adaptive control algorithm is applied to a variety of nonlinear systems, including a real mechanical system, and satisfactory results are observed in all situations. which demonstrates the effectiveness of the proposed control approach in dealing with nonlinear, ill-defined systems. Finally, a recurrent DFLS, the RDFLS, is introduced, its universal approximation property proved, and a RDFLS based stable identification algorithm developed. The stability properties of the RD-FLS identifier are theoretically analysed, and its application to nonlinear systems is demonstrated via simulation examples.
机译:为了解决我们的主要目标,本文提出了与模糊逻辑系统,非线性系统识别和自适应控制有关的广泛主题,这是开发有效和可靠的模糊逻辑方法来识别和控制不确定的非线性动态系统。 ;首先,对现有的模糊逻辑系统进行了改进,包括为IF-THEN规则性能定义两个在线定量度量,以及为FLS估计量的近似精度引入统计置信度度量。为了方便在线应用,提出了模糊推理计算的简化方法,并推导了近似误差的范围。接下来,给出了一个完整的过程,用于制定基于专家知识的模糊逻辑控制器,并在真实的机械系统上演示了实验结果。还将经验FLC与PD控制器进行了比较,并讨论了它们各自的属性。以下是模糊逻辑系统的最佳训练方案,该方案将反向传播算法与最小二乘估计技术结合在一起,进行了协同组合。观察到迄今为止使用的模糊逻辑系统本质上是静态的,而所关注的物理系统通常是动态的,因此提出了一种新颖的模糊逻辑系统结构DFLS,该结构的特征在于包含了动力学,并且具有通用性证明了近似性质。基于DFLS,进一步开发了一种识别算法,并从理论上分析了其稳定性。通过各种示例说明了其在非线性,定义不明确的动态系统中的应用,其中展示了人类专家知识在改善系统性能方面的重要性,并对DFLS和FLS标识符之间的性能进行了比较。此外,开发了一种基于DFLS的新型间接自适应控制方案,并从理论上分析了其闭环系统的性能和稳定性。提出了两种方法来估计未知的控制增益函数g。一种基于自调整方案,另一种基于FLS方法,并讨论了它们各自的属性。 DFLS自适应控制算法已应用于各种非线性系统,包括实际的机械系统,并且在所有情况下均能获得令人满意的结果。这证明了所提出的控制方法在处理非线性,不确定系统中的有效性。最后,介绍了一种递归DFLS,即RDFLS,证明了其通用逼近性,并开发了基于RDFLS的稳定识别算法。从理论上分析了RD-FLS标识符的稳定性,并通过仿真实例证明了其在非线性系统中的应用。

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