Adaptive robust control of a class of nonlinear strict-feedback discrete-time systems with unknown control directions

Ge SS; Yang CG; Lee TH

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Adaptive robust control of a class of nonlinear strict-feedback discrete-time systems with unknown control directions

机译：一类未知控制方向的非线性严格反馈离散时间系统的自适应鲁棒控制

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In this paper, adaptive control is studied for a class of nonlinear discrete-time systems in strict-feedback form with unknown control directions. The system is transformed to an n-step ahead predictor, based on which an adaptive control employing the predicted future states has been proposed. The discrete Nussbaum gain is exploited to overcome the difficulty caused by unknown control directions. The proposed control guarantees the boundedness of all the closed-loop signals and the output tracking error can be made to converge to zero if the system is free of external disturbance. The effectiveness of the proposed control is demonstrated in the simulation. (C) 2008 Elsevier B.V. All rights reserved.

机译：本文针对一类具有严格控制形式，控制方向未知的非线性离散时间系统进行了自适应控制研究。该系统被转换为n步提前预测器，在此基础上，提出了采用预测的未来状态的自适应控制。利用离散的Nussbaum增益克服了未知控制方向带来的困难。所提出的控制保证了所有闭环信号的有界性，如果系统不受外部干扰，则可使输出跟踪误差收敛至零。仿真结果证明了所提出控制的有效性。（C）2008 Elsevier B.V.保留所有权利。

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《Systems and Control Letters》 |2008年第11期|共8页
作者
Ge SS; Yang CG; Lee TH;
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正文语种 eng
中图分类自动化技术及设备;
关键词
adaptive control; nonlinear discrete-time systems; strict-feedback systems; discrete Nussbaum gain; HIGH-FREQUENCY GAIN; A-PRIORI KNOWLEDGE; NEURAL NETWORKS; DESIGN;

机译：自适应控制;非线性离散时间系统;严格反馈系统;离散努斯鲍姆增益;高频增益;先验知识;神经网络;设计;

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1. Adaptive robust control of a class of nonlinear strict-feedback discrete-time systems with unknown control directions [J] . Ge SS, Yang CG, Lee TH Systems and Control Letters . 2008,第11期

机译：一类未知控制方向的非线性严格反馈离散时间系统的自适应鲁棒控制
2. Adaptive leaderless consensus control of a class of strict-feedback nonlinear multi-agent systems with unknown control directions: A non-Nussbaum function based approach [J] . Ao Wengang, Huang Jiangshuai, Xue Fangzheng Journal of the Franklin Institute . 2020,第17期

机译：具有未知控制方向的一类严格反馈非线性多智能体系的自适应无线共识控制：基于非Nussbaum功能的方法
3. A new discrete-time robust adaptive time-delay control for a class of uncertain nonlinear strict-feedback systems using sliding mode [J] . Mohammadpour Omid, Tavasoli Ali ISA Transactions . 2019,第期

机译：一种新的离散时间强大的适应时间延迟控制，用于一类不确定的非线性严格反馈系统使用滑模
4. Adaptive control of a class of strict-feedback discrete-time nonlinear systems with unknown control gains and preceded by hysteresis [C] . Shuzhi Sam Ge, Chenguang Yang, Shi-Lu Dai, American Control Conference;ACC '09 . 2009

机译：一类具有未知控制增益且具有滞后作用的严格反馈离散时间非线性系统的自适应控制
5. Robust control methods for nonlinear systems with uncertain dynamics and unknown control direction. [D] . Ton, Chau T. 2013

机译：具有不确定动力学和未知控制方向的非线性系统的鲁棒控制方法。
6. Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay [O] . Ruliang Wang, Jie Li, Shanshan Zhang, 2013

机译：一类具有时变时滞的不确定非线性系统的鲁棒自适应控制
7. Adaptive Control of a Class of Strict-Feedback Discrete-Time Nonlinear Systems with Unknown Control Gains and Preceded by Hysteresis [O] . Shuzhi Sam Ge, Chenguang Yang, Shi-lu Dai, 2016

机译：一类具有未知控制增益和滞后前提的严格反馈离散非线性系统的自适应控制

Adaptive robust control of a class of nonlinear strict-feedback discrete-time systems with unknown control directions

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