共查询到16条相似文献,搜索用时 93 毫秒
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一类T-S模糊广义系统的稳定性研究 总被引:1,自引:0,他引:1
针对T-S模糊广义系统,基于模糊Lyapunov函数研究了其渐近稳定性问题。简化了传统的T-S模糊广义系统模型的表达式,根据李亚普诺夫稳定性理论,分别选取普通Lya-punov函数和模糊Lyapunov函数来讨论该系统的稳定性问题,得到了保证稳定性的充分条件;基于模糊Lyapunov函数得出的稳定性条件线性矩阵不等式个数少,减小了计算量。数值仿真实例验证了该方法的有效性。 相似文献
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具有D稳定性约束的T-S模糊系统H∞滤波器设计 总被引:1,自引:0,他引:1
研究一类离散T-S模糊系统的H_∞滤波问题.目的是设计一个滤波器使得滤波误差系统在给定的线性矩阵不等式(LMI)稳定范围内是二次稳定的,且满足指定的H_∞性能.经由模糊Lyapunov函数方法以及增加松弛变量,提出一个滤波器存在的充分条件,它体现为一组线性矩阵不等式(LMIs)可行解的形式.最后通过一个仿真例子验证了所提出的设计方法的有效性. 相似文献
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针对应用公共Lyapunov函数方法、模糊Lyapunov函数方法和分段模糊Lyapunov函数方法进行T-S模糊系统稳定性分析的保守性问题,通过定义有效最大交叠规则组,并基于离散型分段模糊Lyapunov函数,提出一个判定开环离散T-S模糊系统稳定性的充分条件.该条件仅需在每个有效最大交叠规则组内分别满足模糊Lyapunov方法中的条件,从而降低上述判定方法的保守性和难度.仿真实例验证了所提出条件的有效性和优越性. 相似文献
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提出一种改进的方法以降低T-S 模糊系统稳定性判定方法的保守性. 通过定义有效最大交叠规则组(EMORG),提出一个改进的充分条件以保证模糊模型全局二次渐近稳定. 此条件仅需在每个有效最大交叠规则组内分别寻找一个局部公共正定矩阵 .以往的稳定性判定方法作为特例被包含在所提出方法中. 仿真结果验证了该方法的有效性.
相似文献10.
一类模糊系统模式的稳定性研究 总被引:1,自引:0,他引:1
本文将在Takagi-Sugeno模型基础上,建立一类较实用的Fuzzy System模式,讨论该模式连续型和离散型的稳定性,给出各自的渐近稳定充分条件,以及构造Lyapunov函数(正定矩阵)存在的条件。 相似文献
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Liang Qiao 《International journal of systems science》2018,49(12):2670-2681
This paper is concerned with the stability analysis and synthesis issues for T-S fuzzy systems. By fully using the properties of fuzzy weighting functions and matrix inequalities, two improved sufficient stability conditions are derived based on the common Lyapunov function and fuzzy Lyapunov function, respectively. It is not necessary to require every fuzzy subsystem to be stable in these conditions. Following the analysis, both parallel and non-parallel distributed compensation controllers are obtained by solving linear matrix inequalities. Finally, four examples are given to show the effectiveness of our proposed approach and the advantages of the approach over existing methods. 相似文献
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基于多分辨率分析的T-S模糊系统 总被引:4,自引:0,他引:4
目前模糊系统缺乏保持辨识精度与模糊语义最佳折中的有效辨识方法,其主要原因在于缺乏系统的优化结构辨识方法.因此,本文从时-频域角度构造出基于多分辨率分析的T-S(Takagi-Sugeno)模糊系统拓扑结构.然后,采用具有多分辨率特点的B-样条尺度函构造模糊隶属函数,根据投影算法和模糊隶属函数相异测度给出了模糊系统结构辨识算法.仿真结果验证了这种模糊系统及其结构辨识算法的有效性. 相似文献
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An adaptive sliding mode control (ASMC) technique based on T-S fuzzy system models is proposed in this paper for a class of perturbed nonlinear MIMO dynamic systems in order to solve tracking problems. A T-S fuzzy model is firstly formed by utilizing fuzzy theorem to amalgamate a set of linearized dynamic equations. The adaptive sliding mode controller is then designed based on this fuzzy model with perturbations. The proposed control scheme can drive the dynamics of controlled system into a designated sliding surface in finite time, and guarantee the property of asymptotical stability. It is also shown that the information of upper bound of modeling errors as well as perturbations, except the information of upper bound of input uncertainty, is not required when using the proposed controller. 相似文献
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By adopting the Takagi–Sugeno (T-S) fuzzy theory, this paper focuses on the adaptive control of fractional-order time-delay systems involving unknown parameters and input saturations. T-S fuzzy systems with “IF-THEN” rules are employed to describe fractional-order nonlinear systems. The influence of input saturation is handled by designing an auxiliary system. By using a norm conversion, the system's time-delay term is converted into a non-delayed form. Adaptive updating rules are devised to evaluate uncertainties of the system, and a new control approach is proposed. The devised controller can not only guarantee the boundedness of variables involved but also make state variables converge into a sufficiently small neighborhood of the origin, even in the presence of uncertainties, saturation functions, and system parameters. Finally, numerical studies are given to verify the correctness of the designed scheme. 相似文献