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模糊Delta算子系统的鲁棒镇定 总被引:1,自引:0,他引:1
研究一类基于Delta算子描述的T-S模糊模型状态反馈镇定设计问题。首先将全局模糊模型按隶属函数划分成若干子空间,并被表示成不确定系统的形式;采用分段Lyapunov函数法,得到鲁棒稳定化控制律存在的充分条件.该条件被进一步等价表示成一组线性矩阵不等式的可解性问题。克服了以往设计法中需要求解一公共正定矩阵P的不足,也无需求解繁琐的Riccati方程。所得结果可将连续和离散模糊系统的有关结论统一到Delta算子框架内。 相似文献
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为研究立井井壁破裂与内部应变之间的相互规律,搭建井壁实物模型以模拟井壁受力破裂过程和状态,利用分布式光纤技术对井壁内部应变进行监测,并分别从应力和应变多角度进行深入分析.结果表明:对于应变状态,当施加应力增大,井壁应变程度也随之增大,应变极大值所对应的井壁位置,其应变程度在范围内达到最大,破裂风险也就最高;对于应力作用,不同应力下井壁应变最大值与最小值之间的偏差度越大,井壁稳定性越差,越容易发生破裂;分析了应力、应变二者相互关联性,拟合各方向角所对应的井壁位置应变变化的线性方程,变化率数值越大,井壁应变增长速度就越快,当应变值超过所能承受极限时,井壁会更容易发生破裂;通过对井壁应变数据监测,分析了应变差值、偏差度和应变变化率,结合Lamé公式,建立了井壁应变破裂关系模型,为井壁破裂预警提供了新方案. 相似文献
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The projection of the chaotic attractor observed from the Lorenz system in the
$X$--$Z$ plane is like a butterfly, hence the classical Lorenz system is widely
known as the butterfly attractor, and has served as a prototype model for studying
chaotic behaviour since it was coined.In this work we take one step further to
investigate some fundamental dynamic behaviours of a novel hybrid Takagi--Sugeno
(TS) fuzzy Lorenz-type system, which is essentially derived from the
delta-operator-based TS fuzzy modelling for complex nonlinear systems, and contains
the original Lorenz system of continuous-time TS fuzzy form as a special case. By
simply and appropriately tuning the additional parametric perturbations in the
two-rule hybrid TS fuzzy Lorenz-type system, complex (two-wing) butterfly attractors
observed from this system in the three dimensional (3D) $X$--$Y$--$Z$ space are
created, which have not yet been reported in the literature, and the forming
mechanism of the compound structures have been numerically investigated. 相似文献
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对于非线性模糊系统控制器和观测器的分析和设计,提出一种统一方法。利用Delta域离散T—S模糊模型对非线性系统建模,并基于李雅普诺夫稳定性理论给出模糊状态反馈控制器和观测器的设计策略,将所得结果归结为求解一组线性矩阵不等式。同时结论表明:分离性原理对Delta算子T—S模糊系统仍然成立。所得结果可将现有关于连续和离散T—S模糊系统的相关结论统一于Delta算子框架内。 相似文献
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