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Relative Degrees and Adaptive Feedback Linearization Control of T–S Fuzzy Systems

机译:TS模糊系统的相对度和自适应反馈线性化控制

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摘要

This paper presents a new study on the relative degrees of single-input and single-output T–S fuzzy systems in general noncanonical forms, and proposes a feedback linearization-based control design method for such systems. The study extends the system relative degree concepts, commonly used for the control of nonlinear systems, to general T–S fuzzy systems, derives various relative degree conditions for general T–S fuzzy systems, and establishes the relative degree dependent normal forms. A feedback linearization-based control design framework is developed for general T–S fuzzy systems using its normal form, to achieve closed-loop stability and asymptotic output tracking under relaxed design conditions. A new adaptive feedback linearization-based control scheme for T–S fuzzy systems in general noncanonical forms with parameter uncertainties is designed and analyzed. Some extensions of relative degrees and their possible application to robust adaptive control for noncanonical form T–S fuzzy systems are also demonstrated. An illustrative example is presented with simulation results to demonstrate the control system design procedure and to show the effectiveness of the proposed control scheme.
机译:本文对一般非规范形式的单输入单输出TS模糊系统的相对程度进行了新的研究,并提出了一种基于反馈线性化的控制设​​计方法。该研究将通常用于非线性系统控制的系统相对度概念扩展到一般的TS模糊系统,推导了一般的TS模糊系统的各种相对度条件,并建立了相对度相关的范式。基于其线性形式,为一般的TS模糊系统开发了基于反馈线性化的控制设​​计框架,以在宽松的设计条件下实现闭环稳定性和渐近输出跟踪。针对具有参数不确定性的一般非规范形式的TS模糊系统,设计并分析了一种新的基于自适应反馈线性化的控制方案。还演示了相对度的某些扩展及其在非规范形式TS模糊系统鲁棒自适应控制中的应用。给出了一个带有仿真结果的说明性示例,以演示控制系统的设计过程并证明所提出的控制方案的有效性。

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