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不确定非线性系统的二次稳定新方法 被引量：1

A new approach to quadratic stability for uncertain nonlinear systems
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摘要 针对一类不确定非线性系统,采用模糊技术,提出了一种新的二次稳定控制方案.应用模糊T-S模型和模糊逻辑系统对非线性系统建模,所设计的模糊控制器使得闭环系统二次稳定并满足期望的L_2范数界.该方案的主要优点是不对逼近误差和不确定性做约束假设.仿真结果表明了该方案的可行性. This paper addresses the problem of quadratic stability for a class of uncertain nonlinear systems using fuzzy technique.Fuzzy T-S model and fuzzy logic systems are used to model the nonlinear systems. The fuzzy controller is designed such that the closed-loop system is quadratically stable and satisfies the desired L_2norm bound.The main advantage is that the designer makes no constraint assumption for the approximating error arisen from fuzzy T-S model and the uncertainties in nonlinear systems.Simulation results demonstrate the effectiveness of the developed control scheme.
作者 杜贞斌 陈为胜 宋宜斌 王培进
机构地区 烟台大学计算机学院 西安电子科技大学应用数学系
出处 《系统工程理论与实践》 EI CSSCI CSCD 北大核心 2011年第9期1784-1789,共6页 Systems Engineering-Theory & Practice
基金 国家自然科学基金(60974028 61175086) 山东省自然科学基金(ZR2011FQ037)
关键词 模糊T-S模型 模糊逻辑系统 非线性系统 不确定性 二次稳定 fuzzy T-S model fuzzy logic systems nonlinear systems uncertainties quadratic stability
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献12

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同被引文献14

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  • 7Lavretsky E. Hovakimyan N. Adaptive dynamic inversion for nonaffine-in-control systems via time-scale separa- tion: Part II[C]// Proceedings of the 2005 American Control Conference, 2005: 3548-3553.
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  • 9Imai A K, Costa R R, Hsu L, et al. Multivariable adaptive control using high-frequency gain matrix factoriza- tion[J]. IEEE Transactions on Automatic Control, 2004, 49(7): 1152-1156.
  • 10Ge S S, Tian Z, Lee T H. Nonlinear control of a dynamic model of HIV-I[J]. IEEE Transactions on Biomedical Engineering, 2005, 52(3): 353-361.

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系统工程理论与实践
2011年 第9期

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