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Stability analysis for affine fuzzy system based on fuzzy Lyapunov functions
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作者 柳善建 沈炯 +1 位作者 刘西陲 李益国 《Journal of Southeast University(English Edition)》 EI CAS 2011年第3期295-299,共5页
An analysis method based on the fuzzy Lyapunov functions is presented to analyze the stability of the continuous affine fuzzy systems. First, a method is introduced to deal with the consequent part of the fuzzy local ... An analysis method based on the fuzzy Lyapunov functions is presented to analyze the stability of the continuous affine fuzzy systems. First, a method is introduced to deal with the consequent part of the fuzzy local model. Thus, the stability analysis method of the homogeneous fuzzy system can be used for reference. Stability conditions are derived in terms of linear matrix inequalities based on the fuzzy Lyapunov functions and the modified common Lyapunov functions, respectively. The results demonstrate that the stability result based on the fuzzy Lyapunov functions is less conservative than that based on the modified common Lyapunov functions via numerical examples. Compared with the method which does not expand the consequent part, the proposed method is simpler but its feasible region is reduced. Finally, in order to expand the application of the fuzzy Lyapunov functions, the piecewise fuzzy Lyapunov function is proposed, which can be used to analyze the stability for triangular or trapezoidal membership functions and obtain the stability conditions. A numerical example validates the effectiveness of the proposed approach. 展开更多
关键词 affine fuzzy system stability analysis linear matrix inequalities fuzzy Lyapunov function
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自适应翼肋的建模与分布式协调控制
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作者 何真 陆宇平 《系统仿真技术》 2012年第4期279-286,共8页
针对分布式驱动的自适应翼肋进行建模与分布式协调控制研究。基于分析力学的方法建立了自适应翼肋的动力学模型。以这个非线性关联动力学模型为基础,采用Takagi-Sugeno(T-S)模糊逼近理论,建立了自适应翼肋的仿射型T-S模糊关联模型。对... 针对分布式驱动的自适应翼肋进行建模与分布式协调控制研究。基于分析力学的方法建立了自适应翼肋的动力学模型。以这个非线性关联动力学模型为基础,采用Takagi-Sugeno(T-S)模糊逼近理论,建立了自适应翼肋的仿射型T-S模糊关联模型。对仿射型T-S模糊关联模型的物理耦合项进行变换,将系统模型写成空间关联系统的形式,以解耦控制器设计条件。基于并行分配补偿理论,针对系统模型具有耦合项和非零常数项的特点,设计了满足鲁棒性能指标的包含耦合项和偏置项的分布式协调控制器。控制器设计条件具有线性矩阵不等式的形式,并且只包含单个驱动单元的参数,计算量较小。仿真结果表明所设计的自适应翼肋分布式协调控制器,能够在外界扰动作用下使翼肋的形状收敛到期望翼型;翼肋在变形过程中能保持光滑连续的外形。 展开更多
关键词 变形翼 仿射模糊模型 关联系统 协调控制 分布式控制
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