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Adaptive Fuzzy Backstepping Output Feedback Control of Nonlinear Time-delay Systems with Unknown High-frequency Gain Sign

ISSN号：1002-0411
期刊名称：《信息与控制》
时间：0
分类：TP273.4[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] TP273.2[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
作者机构：[1]Department of Basic Mathematics, Liaoning University of Technology, Jinzhou 121001, PRC, [2]Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, PRC
相关基金：supported by National Natural Science Foundation of China （No. 61074014）; the Outstanding Youth Funds of Liaoning Province （No. 2005219001）; Educational Department of Liaoning Province （No. 2006R29, No. 2007T80）

作者： Chang-Liang Liu[1], Shao-Cheng Tong[1], Yong-Ming Li[1], Yuan-Qing Xia[2]

关键词：模糊逻辑系统, BACKSTEPPING, 高频增益, 反馈控制, 输出反馈, 非线性时滞系统, 自适应, 严格反馈非线性系统, Nonlinear systems, adaptive fuzzy control, time-delay, high-frequency gain sign, backstepping, K-filters, stability.

中文摘要：

在这份报纸，一条适应模糊柔韧的反馈控制途径为一个类被建议单个输入、单个产量(SISO ) 有未知非线性的函数的严格反馈的非线性的系统，时间延期，未知高周波的获得符号，并且没有状态的大小。在 backstepping 递归的设计，模糊逻辑系统被采用接近未知光滑的非线性的功能， K 过滤被设计估计无节制的状态，和 Nussbaum 获得功能被介绍解决高周波的获得的未知符号的问题。由联合适应模糊控制理论和适应 backstepping 设计，一个稳定的适应模糊产量反馈控制计划被开发。这被证明了建议适应模糊柔韧的控制途径能保证靠近环的系统的所有信号最终一致地被围住，追踪的错误能由适当地选择设计参数收敛到起源的一位小邻居。模拟结果显示出建议方法的有效性。

英文摘要：

In this paper, an adaptive fuzzy robust feedback control approach is proposed for a class of single-input and singleoutput （SISO） strict-feedback nonlinear systems with unknown nonlinear functions, time delays, unknown high-frequency gain sign, and without the measurements of the states. In the backstepping recursive design, fuzzy logic systems are employed to approximate the unknown smooth nonlinear functions, K-filters is designed to estimate the unmeasured states, and Nussbaum gain functions are introduced to solve the problem of unknown sign of high-frequency gain. By combining adaptive fuzzy control theory and adaptive backstepping design, a stable adaptive fuzzy output feedback control scheme is developed. It has been proven that the proposed adaptive fuzzy robust control approach can guarantee that all the signals of the closed-loop system are uniformly ultimately bounded and the tracking error can converge to a small neighborhood of the origin by appropriately choosing design parameters. Simulation results have shown the effectiveness of the proposed method.