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Robust Stabilization for a Class of Nonlinear Systems: Fuzzy-Model-Based LMI Approach

机译：一类非线性系统的鲁棒镇定：基于模糊模型的LMI方法

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摘要

In this paper,we investigate the robust stabilization problem for a class of nonlinear dynamic systems via fuzzymodel-based state feedback control.First,the Takagi-Sugeno (T-S) fuzzy model is employed to approximate a nonlinear dynamic system.A robust stabilization technique is proposed to override the effect of approximation error in the fuzzy approximation procedure.Next,some sufficient conditions are derived to ensure the robust stabilization of the closed-loop system with fuzzytype state feedback based controller and guarantee the disturbance attenuation under a desired level.Moreover,these stabilization conditions can be formulated in terms of linear matrix inequalities (LMIs),which can be solved using the convex optimization techniques.Finally,a numerical example is given to demonstrate the effectiveness of the proposed approach.

机译：本文通过基于模糊模型的状态反馈控制研究一类非线性动力系统的鲁棒镇定问题。首先，采用Takagi-Sugeno（TS）模糊模型对非线性动力系统进行逼近。提出了一些充分的条件，以确保基于模糊类型状态反馈的控制器对闭环系统的鲁棒稳定，并保证干扰衰减在所需水平上。这些稳定条件可以用线性矩阵不等式（LMI）来表示，可以使用凸优化技术来求解。最后，通过数值算例证明了该方法的有效性。

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来源
《Chinese Control Conference》||5588-5593|共6页
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作者
HE Guannan; JING Hongyu; JI Jing; YU Wensheng;
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正文语种
中图分类自动控制、自动控制系统;
关键词
Robust stabilization; Nonlinear system; Takagi-Sugeno (T-S) model; Fuzzy control; Linear matrix inequality (LMI);

机译：稳定的稳定性;非线性系统高木杉野（T-S）模型;模糊控制;线性矩阵不等式（LMI）;

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专利

1. T-S fuzzy-model-based robust stabilization for a class of nonlinear discrete-time networked control systems [J] . Hu S., Zhang Y., Yin X., Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2013,第Null期

机译：一类非线性离散时间网络控制系统的基于T-S模糊模型的鲁棒镇定
2. Robust stability and stabilization of a class of nonlinear discrete time stochastic systems: An LMI approach [J] . Sathananthan S., Knap M.J., Strong A., Applied mathematics and computation . 2012,第4期

机译：一类非线性离散时间随机系统的鲁棒稳定性和稳定性：一种LMI方法
3. A Robust LMI Approach on Nonlinear Feedback Stabilization of Continuous State-Delay Systems with Lipschitzian Nonlinearities: Experimental Validation [J] . Mobayen Saleh, Pujol-Vazquez Gisela Iranian Journal of Science and Technology, Transactions of Mechanical Engineering . 2019,第3期

机译：具有Lipschitzian非线性的连续状态延迟系统的非线性反馈镇定的鲁棒LMI方法：实验验证
4. Robust stabilization for a class of nonlinear systems: Fuzzy-model-based LMI approach [C] . He Guannan, Jing Hongyu, Ji Jing, Chinese Control Conference . 2013

机译：一类非线性系统的鲁棒镇定：基于模糊模型的LMI方法
5. Stabilization and regulation of nonlinear systems with applications: Robust and adaptive approach. [D] . Liu, Lu. 2008

机译：非线性系统的稳定和调节及其应用：鲁棒和自适应方法。
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. Sampled-data fuzzy controller for time-delay nonlinear systems : fuzzy-model-based LMI approach [O] . Lam, HK, Leung, FHF 2007

机译：时滞非线性系统的采样数据模糊控制器：基于模糊模型的LMI方法

Robust Stabilization for a Class of Nonlinear Systems: Fuzzy-Model-Based LMI Approach

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