共查询到19条相似文献,搜索用时 299 毫秒
1.
2.
3.
提出了参数不确定T-S 模糊系统的新型鲁棒镇定条件.该条件表示为线性矩阵不等式(LMI)的形式,
将模糊子系统的相互关系收集到一系列矩阵而不是单个矩阵中,因此比近期刊出文献中的宽松二次镇定条件具有更
小的保守性.以该LMI 条件为基础,容易得到不确定T-S 模糊控制系统的状态反馈鲁棒镇定控制器.由于只涉及一
组LMI,控制器设计简单并易于数值求解.在转台这一具有参数不确定性的连续时间非线性系统的控制中,所提方
法的有效性得到成功验证. 相似文献
4.
5.
6.
7.
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
8.
研究离散型T-S模糊系统镇定问题。针对给出的状态空间模型,基于稳定性判定条件给出了镇定律的直接设计方法,通过求解一组线性矩阵不等式完成模糊系统镇定律的设计。给出的算例说明了该方法的有效性。 相似文献
9.
离散模糊系统镇定律设计 总被引:1,自引:0,他引:1
研究离散型T-S模糊系统镇定问题.针对给出的状态空间模型,基于稳定性判定条件给出了镇定律的直接设计方法,通过求解一组线性矩阵不等式完成模糊系统镇定律的设计.给出的算例说明了该方法的有效性. 相似文献
10.
考虑分数阶非线性系统的稳定和镇定问题,基于线性矩阵不等式(LMI)方法,对分数阶T-S模糊系统进行研究.利用并行分布补偿法,设计分数阶T-S模糊系统的控制器.考虑阶次满足$0<\alpha<1$的分数阶系统,给出可以利用Matlab求解的LMI形式的T-S模糊控制器设计镇定判据.该判据的优点是可以处理具有正实部特征根的分数阶T-S模糊系统的稳定性和镇定问题,能够保持与Matignon分数阶系统稳定性结论的一致性,并克服其他方法只能处理特征根在负实部的方法的局限性和保守性.数值仿真结果验证了所提控制器设计方法的有效性. 相似文献
11.
Stability analysis and synthesis for an affine fuzzy system via LMIand ILMI: discrete case 总被引:2,自引:0,他引:2
Euntai Kim Dongyon Kim 《IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics》2001,31(1):132-140
This paper develops a stability analysis and controller synthesis methodology for a discrete affine fuzzy system based on the convex optimization techniques. In analysis, the stability condition under which the affine fuzzy system is quadratically stable is derived. Then, the condition Is recast in the formulation of Linear Matrix Inequalities (LMI) and numerically addressed. The emphasis of this paper, however, is on the synthesis of fuzzy controller based on the derived stability condition. In synthesis, the stabilizability condition turns out to be in the formulation of nonconvex matrix inequalities and is solved numerically in an iterative manner. Discrete iterative LMI (ILMI) approach is proposed to obtain the feasible solution for the synthesis of the affine fuzzy system. Finally, the applicability of the suggested methodology is demonstrated via some examples and computer simulations. 相似文献
12.
Euntai Kim Seungwoo Kim 《Fuzzy Systems, IEEE Transactions on》2002,10(3):391-400
A new stability analysis and controller synthesis methodology for a continuous affine fuzzy system is proposed in this paper. The method suggested is based on the numerical convex optimization techniques. In analysis, the stability condition under which the affine fuzzy system is quadratically stable is derived and is recast in the formulation of linear matrix inequalities (LMIs). The emphasis of this paper, however, is on the synthesis of fuzzy controller based on the derived stability condition. In the synthesis, the stabilizability condition turns out to be in the formulation of bilinear matrix inequalities and is solved numerically in an iterative manner. Fuzzy local controllers also assume the affine form and their bias terms are solved in a numerical manner simultaneously together with the gains. Continuous iterative LMI (ILMI) approach is presented to obtain a feasible solution for the synthesis of the affine fuzzy system 相似文献
13.
Euntai Kim Chang-Hoon Lee Young-Wan Cho 《Fuzzy Systems, IEEE Transactions on》2005,13(1):115-123
A novel analysis and design method for affine fuzzy systems is proposed. Both continuous-time and discrete-time cases are considered. The quadratic stability and stabilizability conditions of the affine fuzzy systems are derived and they are represented in the formulation of bilinear matrix inequalities (BMIs). Two diffeomorphic state transformations (one is linear and the other is nonlinear) are introduced to convert the plant into more tractable affine form. The conversion makes the stability and stabilizability problems of the affine fuzzy systems convex and makes the problems solvable directly by the convex linear matrix inequality (LMI) technique. The bias terms of the fuzzy controller are solved simultaneously together with the gains. Finally, the applicability of the suggested method is demonstrated via an example and computer simulation. 相似文献
14.
15.
16.
研究了一类具有不确定的线性参数及时滞的混杂系统,利用线性矩阵不等式策略和Riccati方法,给出了系统鲁棒稳定性和可稳定性的充分条件,并运用混杂状态反馈控制策略设计了控制器切换方案.最后的仿真实例表明了控制策略的有效性. 相似文献
17.
Chang-Hua Lien 《Automatic Control, IEEE Transactions on》2004,49(8):1365-1370
In this note, the observer-based control for a class of uncertain, linear systems is considered. Exponential stabilizability for the systems is studied and the convergence rate of the system is estimated. A linear matrix inequality (LMI) approach is used to design the observer-based control. The control and observer gains are given from LMI feasible solution. A numerical example is given to illustrate our results. 相似文献
18.
19.
We consider the problem of guaranteed cost control (GCC) of affine nonlinear systems in this paper. Firstly, the general affine nonlinear system with the origin being its equilibrium point is represented as a linear-like structure with state-dependent coefficient matrices. Secondly, partition of unity method is used to approximate the coefficient matrices, as a result of which the original affine nonlinear system is equivalently converted into a linear-like system with modeling error. A GCC law is then synthesized based on the equivalent model in the presence of modeling error under certain error condition. The control law ensures that the system under control is asymptotically stable as well as that a given cost function is upper-bounded. A suboptimal GCC law can be obtained via solving an optimization problem in terms of linear matrix inequality (LMI), in stead of state-dependent Riccati equation (SDRE) or Hamilton–Jacobi equations that are usually required in solving nonlinear optimal control problems. Finally, a numerical example is provided to illustrate the validity of the proposed method. 相似文献