共查询到19条相似文献,搜索用时 187 毫秒
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基于LMI方法的T-S模糊系统的H∞输出反馈控制器设计 总被引:2,自引:0,他引:2
研究了一类T-S模糊系统的H∞控制问题,给出了T-S模糊系统一个新的H∞输出反馈控制器设计方法.该方法充分考虑了模糊子系统间的相互作用.H∞输出反馈控制器可通过求解一组线性矩阵不等式获得.最后通过数值仿真例子,说明所提出的设计方法的可行性. 相似文献
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研究了基于事件触发的网络化T-S模糊系统容错控制问题.首先针对一类具有随机执行器故障的网络化T-S模糊系统,提出一种有效减少数据传输量的事件触发机制.然后在综合考虑事件触发机制和控制器与T-S系统前件变量的异步的情况下,建立一种能同时描述事件传送策略、执行器失效、网络诱导时延和异步前件变量的新颖模型.利用李亚普诺夫泛函方法,得到保守性较小的闭环T-S系统均方渐近稳定条件和相应的容错控制器设计方法.实例表明了本文所得结果的有效性. 相似文献
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基于非线性系统的Takagi-Sugeno(T-S)模糊模型,研究了一类结构不确定非线性系统H∞控制问题.利用线性矩阵不等式(LMI)方法,得到了模糊H∞输出反馈控制器的系统化设计方法.考虑到子系统之间的相互作用,给出了H∞输出反馈控制器存在的充分条件.这个充分条件只用一个矩阵不等式表示,形式简洁,放宽了控制器存在的充分条件.最后,以洛伦兹混沌系统为例,说明了该方法的有效性. 相似文献
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模糊控制的系统化设计和稳定性分析 总被引:13,自引:2,他引:11
给出了一种模糊控制系统的系统化设计方法,它采用一组局部T-S模糊模型来表
示模糊系统,对每个局部模型,利用状态反馈进行控制器设计,最后给出了全局模糊系统的稳
定性分析.通过对一个典型的非线性球-棒控制系统的仿真研究,表明该方法是有效的,它的
性能指标优于现有文献的结果. 相似文献
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This paper presents new systematic design methods of two types of output feedback controllers for Takagi–Sugeno (T–S) fuzzy systems, one of which is constructed with a fuzzy regulator and a fuzzy observer, while the other is an output direct feedback controller. In order to use the structural information in the rule base to decrease the conservatism of the stability analysis, the standard fuzzy partition (SFP) is employed to the premise variables of fuzzy systems. New stability conditions are obtained by relaxing the stability conditions derived in previous papers. The concept of parallel distributed compensation (PDC) is employed to design fuzzy regulators and fuzzy observers from the T–S fuzzy models. New stability analysis and design methods of output direct feedback controllers are also presented. The output feedback controllers design and simulation results for a nonlinear mass-spring-damper mechanical system show that these methods are effective. 相似文献
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Static Output Feedback Control for Interval Type‐2 T‐S Fuzzy Systems Based on Fuzzy Lyapunov Functions 下载免费PDF全文
Jingchun Huang 《Asian journal of control》2014,16(6):1702-1712
This study aims to design an interval type‐2 (IT2) fuzzy static output feedback controller to stabilize the IT2 Takagi‐Sugeno (T‐S) fuzzy system. Conservative results may be obtained when a common quadratic Lyapunov function is utilized to investigate the stability of T‐S fuzzy systems. A fuzzy Lyapunov function is employed in this study to analyze the stability of the IT2 fuzzy closed‐loop system formed by the IT2 T‐S fuzzy model and the IT2 fuzzy static output feedback controller. Stability conditions in the form of linear matrix inequalities are derived. Several slack matrices are introduced to further reduce the conservativeness of stability analysis. The membership‐function shape‐dependent analysis approach is also employed to relax the stability results. The numerical examples illustrate the effectiveness of the proposed conditions. 相似文献
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T-S模糊系统的基于观测器的H∞控制设计 总被引:1,自引:1,他引:1
研究了T-S(Takagi-Sugeno)模糊系统H∞控制设计问题.放宽了Kim E等的T-S模糊
系统可二次稳定的条件.给出了T-S模糊系统新的观测器设计方法.然后给出了T-S模糊系统
基于观测器的H∞控制存在的两个新的充分条件.新方法不但简单,而且充分考虑了模糊子系统
间的相互作用.最后通过例子,应用LMI技术,说明了本文给出的T-S模糊系统的基于观测器
的H∞控制器的设计方法简便易行. 相似文献
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基于观测器的不确定T-S模糊系统鲁棒镇定 总被引:1,自引:1,他引:0
为带有参数不确定性的T-S模糊控制系统提出了新的基于观测器的鲁棒输出镇定条件. 该条件用来设计模糊控制器和模糊观测器. 为了设计模糊控制器和模糊观测器, 用T-S模糊模型来表示非线性系统, 并运用平行分布补偿观念. 充分条件基于二次Lyapunov函数, 通过将模糊系统的鲁棒镇定条件表述为一系列矩阵不等式, 比以往文献中列出的条件具有更小的保守性. 该不等式为双线性矩阵不等式, 可分两步骤先后解得使T-S模糊系统镇定的控制器增益和观测器增益. 最后, 通过对一个具有不确定性的连续时间非线性系统控制的例子证明了提出方法比以往方法更宽松. 相似文献
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研究了T-S模糊连续系统的模糊采样控制问题.利用广义系统的描述方法、Lyapunov-Krasovikii泛函以及线性矩阵不等式(LMI)方法,建立了LMIs形式的依赖于采样时间间隔的模糊采样镇定条件,同时给出了模糊采样控制律的设计方法.所设计的模糊采样控制律可以镇定T-S模糊系统.而且,当连续时间模糊控制律可以镇定T-S模糊系统时,对于足够小的采样时间间隔,带有同样增益矩阵的模糊采样控制律也可以镇定T-S模糊系统.最后,通过两个仿真实例说明了所给方法的有效性. 相似文献
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A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems 总被引:6,自引:0,他引:6
Chun-Hsiung Fang Yung-Sheng Liu Shih-Wei Kau Lin Hong Ching-Hsiang Lee 《Fuzzy Systems, IEEE Transactions on》2006,14(3):386-397
This paper proposes a new quadratic stabilization condition for Takagi-Sugeno (T-S) fuzzy control systems. The condition is represented in the form of linear matrix inequalities (LMIs) and is shown to be less conservative than some relaxed quadratic stabilization conditions published recently in the literature. A rigorous theoretic proof is given to show that the proposed condition can include previous results as special cases. In comparison with conventional conditions, the proposed condition is not only suitable for designing fuzzy state feedback controllers but also convenient for fuzzy static output feedback controller design. The latter design work is quite hard for T-S fuzzy control systems. Based on the LMI-based conditions derived, one can easily synthesize controllers for stabilizing T-S fuzzy control systems. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. Finally, the validity and applicability of the proposed approach are successfully demonstrated in the control of a continuous-time nonlinear system. 相似文献
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针对混沌ADVP(范德玻—杜芬)系统,进行了T-S模糊建模和模糊控制器设计,实现了系统的稳定。在用T-S模糊模型精确重构系统结构的基础上,利用反馈同步思想和极点配置方法,基于并行分布补偿(PDC)技术,进行了控制器设计。整个设计过程只需在模糊模型基础上作极点配置,简化了计算,得到了简单且易实现的控制器。仿真表明,受控系统能够快速达到收敛,验证了方法的有效性。 相似文献
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A new design scheme of stable adaptive fuzzy control for a class of nonlinear systems is proposed in this paper. The T-S fuzzy model is employed to represent the systems. First, the concept of the so-called parallel distributed compensation (PDC) and linear matrix inequality (LMI) approach are employed to design the state feedback controller without considering the error caused by fuzzy modeling. Sufficient conditions with respect to decay rate α are derived in the sense of Lyapunov asymptotic stability. Finally, the error caused by fuzzy modeling is considered and the input-tostate stable (ISS) method is used to design the adaptive compensation term to reduce the effect of the modeling error. By the small-gain theorem, the resulting closed-loop system is proved to be input-to-state stable. Theoretical analysis verifies that the state converges to zero and all signals of the closed-loop systems are bounded. The effectiveness of the proposed controller design methodology is demonstrated through numerical simulation on the chaotic Henon system. 相似文献