| 基于T-S模型的非线性离散系统的鲁棒镇定 |
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| 引用本文： | 米阳,井元伟.基于T-S模型的非线性离散系统的鲁棒镇定[J].东北大学学报(自然科学版),2004,25(1):13-16. |
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| 作者姓名： | 米阳 井元伟 |
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| 作者单位： | 东北大学,信息科学与工程学院,辽宁,沈阳,110004;东北大学,信息科学与工程学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金，东北大学校科研和教改项目 |
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| 摘 要： | 研究了非线性离散系统的基于T S型模糊系统的二次镇定问题·针对含有不确定项的非线性离散系统,在构造T S模型时,引入了参数不确定项,使得模糊模型能够更精确逼近原系统·基于Lyapunov稳定性理论,推导出满足二次稳定的状态反馈控制律存在的充分必要条件,并且把该条件进一步等价为一个求解线性矩阵不等式(LMI)的问题,利用Matlab工具箱能够方便地求解出该线性矩阵不等式·最后通过对truck trailer例子的仿真,验证了该方法的可行性·
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| 关 键 词： | 离散系统 模糊控制 线性矩阵不等式 T-S模型 鲁棒 镇定 |
| 文章编号： | 1005-3026(2004)01-0013-04 |
| 修稿时间： | 2003年5月2日 |
Robust Stabilization of Nonlinear Discrete-Time Systems Based on T-S Model |
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| MI Yang,JING Yuan-wei.Robust Stabilization of Nonlinear Discrete-Time Systems Based on T-S Model[J].Journal of Northeastern University(Natural Science),2004,25(1):13-16. |
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| Authors: | MI Yang JING Yuan-wei |
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| Institution: | (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China |
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| Abstract: | The quadratic stabilization of nonlinear discrete-time systems is studied based on T-S fuzzy model. Introducing parametric uncertainty terms into building the T-S model for nonlinear discrete-time systems with uncertainty terms, the fuzzy model may approach to the original system more exactly. Based on Lyapunov stability theory, a necessary and sufficient condition for the existence of state-feedback control laws is derived to satisfy the quadratic stabilization. Thus, a linear matrix inequality equivalent to the condition is obtained, which can easily be solved using Matlab tool box. Finally, the method proposed here is verified feasible through a simulative example of truck-trailer. |
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| Keywords: | discrete systems fuzzy control linear matrix inequality T-S model robust stabilization |
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