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Variable structure control with chattering reduction of a generalized T-S model

机译:广义T-S模型的颤振减少的变结构控制

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摘要

In this paper, a fuzzy logic controller (FLC) based variable structure control (VSC) is presented. The main objective is to obtain an improved performance of highly non-linear unstable systems. New functions for chattering reduction and error convergence without sacrificing invariant properties are proposed. The main feature of the proposed method is that the switching function is added as an additional fuzzy variable and will be introduced in the premise part of the fuzzy rules; together with theudstate variables.udIn this work, a tuning of the well known weighting parameters approach is proposed to optimize local and globaludapproximation and modelling capability of the Takagi-Sugeno (T-S) fuzzy model to improve the choice of the performance index and minimize it. The main problem encountered is that the T-S identification method can not be applied when the membership functions are overlapped by pairs. This in turn restricts the application of the T-S method because this type of membership function has been widely used in control applications. The approach developed here can be considered as a generalized version of the T-S method. An inverted pendulum mounted on a cart is chosen to evaluate the robustness, effectiveness, accuracy and remarkable performance of the proposed estimation approach in comparison with the original T-S model. Simulation resultsudindicate the potential, simplicity and generality of the estimation method and the robustness of the chattering reduction algorithm.udIn this paper, we prove that the proposed estimation algorithm converge the very fast, thereby making it very practical to use. The application of the proposed FLC-VSC shows that both alleviation of chattering and robust performance are achieved.
机译:本文提出了一种基于模糊逻辑控制器(FLC)的变结构控制(VSC)。主要目的是获得高度非线性不稳定系统的改进性能。提出了在不牺牲不变性的前提下减少抖动和误差收敛的新功能。所提出的方法的主要特点是,将开关函数作为附加的模糊变量添加,并将在模糊规则的前提部分引入。 ud状态变量。 ud在这项工作中,提出了对众所周知的加权参数方法的调整,以优化Takagi-Sugeno(TS)模糊模型的局部和全局 ud逼近和建模能力,以改善性能的选择。索引并将其最小化。遇到的主要问题是,当隶属函数成对重叠时,不能应用T-S识别方法。这又限制了T-S方法的应用,因为这种隶属度函数已在控制应用中广泛使用。此处开发的方法可以视为T-S方法的通用版本。与原始T-S模型相比,选择安装在推车上的倒立摆来评估所提出的估计方法的鲁棒性,有效性,准确性和显着性能。仿真结果证明了该估计方法的潜力,简单性和通用性以及抖振约简算法的鲁棒性。 ud本文证明了该算法的收敛速度非常快,因此非常实用。所提出的FLC-VSC的应用表明,既可以减轻抖动,又可以实现鲁棒的性能。

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