共查询到19条相似文献,搜索用时 140 毫秒
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基于模糊模型的时滞不确定系统的模糊H∞鲁棒反馈控制 总被引:4,自引:0,他引:4
讨论了一类具有状态和控制时滞的不确定非线性系统的模糊H∞ 状态反馈控制问题. 采用具有时滞的不确定Takagi-Sugeno(T-S)模糊模型对非线性系统进行建模, 提出了一套基于LMI的模糊鲁棒控制器的系统设计方法, 给出了模糊H∞状态反馈控制器存在的充分条件, 以保证闭环模糊系统渐近稳定并满足从干扰输入到控制输出的H∞范数界约束. 示例仿真表明了该方法的有效性. 相似文献
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应用LMI(线性矩阵不等式)方法,研究了T-S模糊系统H∞控制器的设计问题.首先给出了T-S模糊系统基于状态反馈H∞控制存在的两个新的充分条件.新条件不但简洁而且把模糊子系统间的相互作用表示为由子系统的系数矩阵构成的矩阵不等式.然后新条件被转化为可直接应用Matlab求解的线性矩阵不等式.最后应用线性矩阵不等式方法和Matlab,给出了T-S模糊系统H∞控制器的设计方法. 相似文献
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具有域极点配置的混合H2 /H∞ 滤波 总被引:1,自引:0,他引:1
解决了具有域极点配置的连续时不变系统的混合H2 /H∞ 滤波问题. 通过采用线性矩阵不等式 (LMI)方法描述域稳定性限制、H2 和H∞ 优化, 以建立求解这个问题的总框架. 这个问题的可解性的充分必要条件由一组LMI给出. 最后用一个数字例子来说明所给出的设计方法. 相似文献
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反馈控制系统多性能约束指标的相容性 总被引:8,自引:0,他引:8
对一类线性随机系统的状态反馈控制, 研究极点配置指标、被控输出对范数有界外扰的H∞抑制指标及稳态状态方差上界指标的相容性, 希望为实际控制系统多性能指标的选定提供理论依据, 用线性矩阵不等式(LMI)方法分别刻画了极点指标约束下H∞指标的取值范围、以及相容极点指标和H∞指标约束下稳态方差上界指标的取值范围, 对上述三类相容指标约束的控制问题给出求取满意控制策略的有效方法. 文中结论用数值算例作了说明. 相似文献
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集装箱桥吊是一个不确定非线性系统, 但是把它作为一个不确定系统来研究却很少, 本文使用了基于T-S模型的H∞控制把系统可稳和H∞控制转化为解一系列矩阵不等式(LMI: linear matrix inequality)的问题, 得出最优的反馈矩阵, 设计出基于T-S模型的H∞控制器. 并把这种方法进行了仿真, 结果表明这种方法简单可行, 并且具有很好的鲁棒性. 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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Stability analysis and design of Takagi-Sugeno fuzzy systems 总被引:1,自引:0,他引:1
Chen-Sheng Ting 《Information Sciences》2006,176(19):2817-2845
This work presents stable composite control criteria for multivariable Takagi-Sugeno (T-S) fuzzy systems. On the basis of the linear matrix inequality (LMI) control strategy and parametric optimization, the composite fuzzy control algorithms are derived. Unlike earlier studies of fuzzy control systems on an LMI framework, this investigation develops a supervisory control approach, such that a fuzzy controller can be synthesized more efficiently. Moreover, a robust control scheme is applied to the T-S fuzzy model with parametric uncertainties. The sufficient conditions are deduced in the form of reduced LMIs and adaptive tuning rules. Finally, numeric simulations are given to validate the proposed approach. 相似文献
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研究了带有饱和执行器的Takagi-SugenoT-S离散模糊系统的LQ模糊控制问题,利用Lyapunov稳定理论、PDC(平行分配补偿)技术以及线性矩阵不等式方法,得到了闭环模糊系统的渐近稳定的充分条件,给出了闭环系统的LQ模糊控制律的设计方法和吸引域的一个估计,并建立了闭环系统的LQ性能函数上界的计算公式.进一步,针对两类优化问题,即:LQ性能最小化问题和吸引域最大化问题,给出了相应的带有线性矩阵不等式约束的计算方法.最后,一个仿真例子说明了所给方法的有效性. 相似文献
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Wen-Jer Chang Liang-Zhi Liu Cheung-Chieh Ku 《International Journal of Control, Automation and Systems》2011,9(3):550-557
This paper investigates the fuzzy control problem of a class of nonlinear continuous-time stochastic systems with achieving
the passivity performance. A model-based observer feedback fuzzy control utilizing the concept of so-called parallel distributed
compensation (PDC) is employed to stabilize the class of nonlinear stochastic systems that are represented by the Takagi-Sugeno
(T-S) fuzzy models. Based on the Lyapunov criteria, the Linear Matrix Inequality (LMI) technique is used to synthesize the
observer feedback fuzzy controller design such that the closed-loop system satisfies stability and passivity constraints,
simultaneously. Finally, a numerical example is given to demonstrate the applicability and effectiveness of the proposed design
method. 相似文献
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Stabilization of Nonlinear Systems Under Variable Sampling: A Fuzzy Control Approach 总被引:1,自引:0,他引:1
Huijun Gao Tongwen Chen 《Fuzzy Systems, IEEE Transactions on》2007,15(5):972-983
This paper investigates the problem of stabilization for a Takagi-Sugeno (T-S) fuzzy system with nonuniform uncertain sampling. The sampling is not required to be periodic, and the only assumption is that the distance between any two consecutive sampling instants is less than a given bound. By using the input delay approach, the T-S fuzzy system with variable uncertain sampling is transformed into a continuous-time T-S fuzzy system with a delay in the state. Though the resulting closed-loop state-delayed T-S fuzzy system takes a standard form, the existing results on delay T-S fuzzy systems cannot be used for our purpose due to their restrictive assumptions on the derivative of state delay. A new condition guaranteeing asymptotic stability of the closed-loop sampled-data system is derived by a Lyapunov approach plus the free weighting matrix technique. Based on this stability condition, two procedures for designing state-feedback control laws are given: one casts the controller design into a convex optimization by introducing some over design and the other utilizes the cone complementarity linearization idea to cast the controller design into a sequential minimization problem subject to linear matrix inequality constraints, which can be readily solved using standard numerical software. An illustrative example is provided to show the applicability and effectiveness of the proposed controller design methodology. 相似文献
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This paper investigates the robust tracking control problem for a class of nonlinear networked control systems (NCSs) using the Takagi-Sugeno (T-S) fuzzy model approach. Based on a time-varying delay system transformed from the NCSs, an augmented Lyapunov function containing more useful information is constructed. A less conservative sufficient condition is established such that the closed-loop systems stability and time-domain integral quadratic constraints (IQCs) are satisfied while both time-varying network-induced delays and packet losses are taken into account. The fuzzy tracking controllers design scheme is derived in terms of linear matrix inequalities (LMIs) and parallel distributed compensation (PDC). Furthermore, robust stabilization criterion for nonlinear NCSs is given as an extension of the tracking control result. Finally, numerical simulations are provided to illustrate the effectiveness and merits of the proposed method. 相似文献
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Chih-Peng Huang 《International journal of systems science》2013,44(8):1339-1349
This article mainly investigates the controller synthesis for uncertain fuzzy systems with integrating multiple time-varying delays, which can describe a much larger class of nonlinear systems or uncertain time-delay systems. First, a sufficient stability condition for the unforced Takagi–Sugeno (T-S) fuzzy models with multiple time-varying delays and uncertainties are derived. By involving the parallel distributed compensator (PDC), some design conditions for the resulting closed-loop fuzzy systems are further presented. These proposed conditions are all expressed in terms of linear matrix inequalities (LMIs), and we can readily perform the PDC synthesis from current LMI solvers. Numerical examples are given to demonstrate the validity and superiority of the proposed approach. 相似文献