空间作战效能评估模糊推理方法

分析了各种作战效能评估方法的特点,结合空间作战的背景,提出了一种新的效能评估方法———基于模糊理论的效能评估方法。定义了作战的一般模糊模型,结合Takagi Sugeno模糊推理系统,构造空间作战模糊模型的结构、参数,并求解了后件参数的辨识问题。仿真中确定了作战输入诸元以及作战效能输出的类别,给出了空间作战模糊模型的求解实例。方法不限于空间作战的模型,对于一般的作战模型同样适应,这对于评估作战场数据、军事决策等问题具有借鉴意义。     

A new approach to robust and non-fragile H∞ control for uncertain fuzzy systems

This paper investigates the robust H_∞ control and non-fragile control problems for Takagi-Sugeno (T-S) fuzzy systems with linear fractional parametric uncertainties. The robust H_∞ control problem is to design a state feedback controller such that the robust stability and a prescribed H_∞ performance of the resulting closed-loop system is ensured. And the non-fragile H_∞ control problem is to design a state feedback controller with parameter uncertainties. Based on the linear matrix inequality (LMI) approach, new sufficient conditions for the solvability of the two problems are obtained. It is shown that the desired state feedback fuzzy controller can be constructed by solving a set of LMIs. Numerical examples are also provided to demonstrate the effectiveness of the proposed design method.     

Design of fuzzy sliding mode controller for SISO discrete-time systems

According to a class of nonlinear SISO discrete systems, the fuzzy sliding mode control problem is considered. Based on Takagi-Sugeno fuzzy model method, a fuzzy model is designed to describe the local dynamic performance of the given nonlinear systems. By using the sliding mode control approach, the global controller is constructed by integrating all the local state controllers and the global supervisory sliding mode controller. The tracking problem can be easily dealt with by taking advantage of the combined controller, and the robustness performance is improved finally. A simulation example is given to show the effectiveness and feasibility of the method proposed.     

基于Takagi-Sugeno模型的嵌入式模糊控制器设计

在对一类模糊控制器的实现方式进行了分析的基础上，针对嵌入式系统的特点，提出了一种基于Takagi—Sugeno模型的工程化实时模糊控制算法，并将其应用于小型数控机床的主轴电机驱动系统设计。实验结果表明，该嵌入式模糊控制系统具有实时性强、响应速度快、精度高的特点，在现场控制中有效可行。     

基于隶属度函数偏差的非线性网络控制系统的H_∞跟踪控制

研究带有丢包和时滞的非线性网络控制系统的输出跟踪控制问题,用带有外部干扰的T-S模糊模型表示被控对象.不同于现存的基于T-S模型的网络控制系统的跟踪控制方法,在设计跟踪控制器的过程中考虑了隶属度函数的偏差信息.根据网络特性和非平行分布补偿(non-PDC)方案建立跟踪控制模型.基于Lyapunov稳定性理论和线性矩阵不等式(LMI)技术给出了隶属度函数偏差依赖的控制器存在的充分条件,保证了闭环网络控制系统的给定H∞跟踪性能.通过一个数值例子证明了所提方法的有效性.     

Robust mixed H 2/H ∞ filtering for discrete-time delay fuzzy systems

A robust mixed H ₂/H∞ filtering problem for discrete-time fuzzy systems subject to parameter uncertainties and multiple time-varying delays in state variables is addressed in this paper. The uncertain systems are expressed as Takagi-Sugeno fuzzy models with linear nominal parts and norm-bounded uncertainties. The main objective is to design a stable filter which minimizes a guaranteed cost index and achieves a prescribed H∞ performance under worst-case disturbance. Based on Lyapunov theory, sufficient conditions guaranteeing stability and achieving prescribed performances are stated in terms of LMIs. Therefore, stable filters are obtained with existing convex algorithms. Lastly, two examples are given to illustrate the proposed design methodology.     

Reduced-order ℓ2-ℓ∞ filtering for discrete-time T-S fuzzy systems with stochastic perturbation

This paper is concerned with the problem of ?₂-?_∞ filtering for discrete-time Takagi-Sugeno (T-S) fuzzy systems with stochastic perturbation. Firstly, a basis-dependent existence condition of desirable ?₂-?_∞ filters is proposed. Then by means of the convex linearisation technique, the derived condition is transformed into some strict linear matrix inequality (LMI) constraints, by which both full- and reduced-order filters can be designed. Moreover, for the reduced-order ?₂-?_∞ filter design, a novel analysis and design method with the projection lemma is also provided. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the proposed full- and reduced-order ?₂-?_∞ filter design methods.     

前提不匹配的模糊时滞系统的稳定与控制

研究了基于Takagi-Sugeno（T-S）模糊模型描述的非线性时滞系统的稳定性与控制问题。选择一个最近提出的基于自由权矩阵的积分不等式,以线性矩阵不等式（LMIs）形式给出了保守性较小的时滞依赖的稳定性准则。基于前提不匹配策略,结合Finsler引理,提出了更为灵活的模糊状态反馈控制器的设计方法,该方法不要求控制器和系统分享共同的前提隶属函数和规则数目。最后,给出两个仿真算例,证明了所提理论的先进性和有效性。     

参数不确定Chen混沌系统鲁棒模糊控制器的设计

基于TS(Takagi-Sugeno)模糊模型，研究具有参数不确定性Chert混沌系统的鲁棒控制器设计。首先构建含有参数不确定性的TS模糊模型：然后利用并行分布补偿的方法，设计使模糊系统在平衡点附近渐近稳定的鲁棒模糊控制器。该设计通过解一组线性矩阵不等式(LMI)得到局部区域控制器，进而设计TS模糊系统的鲁棒控制器。该鲁棒模糊控制器的渐近稳定性条件更为宽松，能够降低控制器设计的保守性。最后的仿真结果表明所设计的鲁棒模糊控制器对参数不确定Chert混沌系统具有良好的控制效果。     

基于神经模糊控制理论的数控机床热误差建模

将基于神经模糊控制理论的建模方法--模糊神经网络建模法应用到数控机床热误差建模当中,讨论了热误差模糊神经网络的结构及建模原理;对大型数控龙门导轨磨床主轴箱系统进行建模试验,采用非接触式红外温度测量仪和千分表分别测量主轴箱系统温度值与主轴热误差,得到两组独立的试验数据,一组用来建立主轴箱系统热误差模糊神经网络预报模型,另一组用来对模型进行验证。试验结果表明,模糊神经网络模型预测精度高,泛化能力强;将模糊神经网络建模方法与径向基函数神经网络建模方法进行综合对比,分析结果表明,模糊神经网络建模方法具有更好的建模效率、建模鲁棒性及预测性能。