共查询到20条相似文献,搜索用时 31 毫秒
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Stability Analysis and Performance Design for Fuzzy-Model-Based Control System Under Imperfect Premise Matching 总被引:1,自引:0,他引:1
《Fuzzy Systems, IEEE Transactions on》2009,17(4):949-961
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Quadratic-Stability Analysis of Fuzzy-Model-Based Control Systems Using Staircase Membership Functions 总被引:1,自引:0,他引:1
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Han Ho Choi Author Vitae 《Automatica》2009,45(11):2646-2650
Based on the variable structure control (VSC) theory, we develop an adaptive fuzzy control system design method for uncertain Takagi-Sugeno fuzzy models with norm-bounded uncertainties. We relax the restrictive assumptions that each nominal local system model shares the same input channel and the norm bound of the uncertainty is known, which are usually invoked in the traditional VSC-based fuzzy control design methods. As the local controller we use a VSC law with a switching feedback control term and an adaptation law to account for the norm-bounded uncertainties. In terms of LMIs, we derive a sufficient condition for the existence of linear sliding surfaces guaranteeing the asymptotic stability. We present an LMI characterization of such sliding surfaces. We also give an LMI-based design algorithm, together with a numerical design example. 相似文献
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A Sum-of-Squares Approach to Modeling and Control of Nonlinear Dynamical Systems With Polynomial Fuzzy Systems 总被引:3,自引:0,他引:3
《Fuzzy Systems, IEEE Transactions on》2009,17(4):911-922
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Robust Stabilization of Uncertain Fuzzy Systems Using Variable Structure System Approach 总被引:2,自引:0,他引:2
Han Ho Choi 《Fuzzy Systems, IEEE Transactions on》2008,16(3):715-724
Based on the variable structure system (VSS) theory, we develop a fuzzy control system design method for a class of uncertain nonlinear multivariable systems that can be represented by a Takagi-Sugeno fuzzy model. We make the first attempt to relax the restrictive assumption that each nominal local system model shares the same input channel, which is required in the traditional VSS-based fuzzy control design methods. As the local controller we use a sliding mode controller with a switching feedback control term. In terms of linear matrix inequalities (LMIs), we derive a sufficient condition for the existence of linear sliding surfaces guaranteeing asymptotic stability of the reduced-order equivalent sliding mode dynamics. We present an LMI characterization of such sliding surfaces. We also give an LMI-based algorithm to design the switching feedback control term so that a stable sliding motion is induced in finite time. Finally, we give a numerical design example. 相似文献
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Flávio A. Faria Geraldo N. Silva Vilma A. Oliveira 《International journal of systems science》2013,44(10):1956-1969
In this article, the fuzzy Lyapunov function approach is considered for stabilising continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further the properties of the time derivatives of premise membership functions and by introducing slack LMI variables into the problem formulation. The relaxation conditions given can also be used with a class of fuzzy Lyapunov functions which also depends on the membership function first-order time-derivative. The stability results are thus extended to systems with large number of rules under membership function order relations and used to design parallel-distributed compensation (PDC) fuzzy controllers which are also solved in terms of LMIs. Numerical examples illustrate the efficiency of the new stabilising conditions presented. 相似文献
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In this paper, the Takagi–Sugeno (TS) fuzzy model representation is extended to the stability analysis for uncertain Cohen–Grossberg type bidirectional associative memory (BAM) neural networks with time-varying delays using linear matrix inequality (LMI) theory. A novel LMI-based stability criterion is obtained by using LMI optimization algorithms to guarantee the asymptotic stability of uncertain Cohen–Grossberg BAM neural networks with time varying delays which are represented by TS fuzzy models. Finally, the proposed stability conditions are demonstrated with numerical examples. 相似文献
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《Mathematics and computers in simulation》2004,66(6):523-537
In this paper, the Takagi–Sugeno (T–S) fuzzy model representation is extended to the stability analysis for nonlinear interconnected systems with multiple time-delays using linear matrix inequality (LMI) theory. In terms of Lyapunov’s direct method for multiple time-delay fuzzy interconnected systems, a novel LMI-based stability criterion which can be solved numerically is proposed. Then, the common P matrix of the criterion is obtained by LMI optimization algorithms to guarantee the asymptotic stability of nonlinear interconnect systems with multiple time-delay. Finally, the proposed stability conditions are demonstrated with simulations throughout this paper. 相似文献
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This paper presents new relaxed stability conditions and LMI- (linear matrix inequality) based designs for both continuous and discrete fuzzy control systems. They are applied to design problems of fuzzy regulators and fuzzy observers. First, Takagi and Sugeno's fuzzy models and some stability results are recalled. To design fuzzy regulators and fuzzy observers, nonlinear systems are represented by Takagi-Sugeno's (TS) fuzzy models. The concept of parallel distributed compensation is employed to design fuzzy regulators and fuzzy observers from the TS fuzzy models. New stability conditions are obtained by relaxing the stability conditions derived in previous papers, LMI-based design procedures for fuzzy regulators and fuzzy observers are constructed using the parallel distributed compensation and the relaxed stability conditions. Other LMI's with respect to decay rate and constraints on control input and output are also derived and utilized in the design procedures. Design examples for nonlinear systems demonstrate the utility of the relaxed stability conditions and the LMI-based design procedures 相似文献
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Yingnan Pan 《International journal of systems science》2017,48(1):43-52
This paper investigates the fault detection problem for interval type-2 (IT2) fuzzy stochastic systems with D stability constraint. In the design process, the constructed IT2 fuzzy stochastic system and fault detection filter use different membership functions and the number of fuzzy rules. The parameter uncertainties in the IT2 membership functions are captured through upper and lower membership functions. For relaxing the stability analysis and deriving the existence conditions of the fault detection filter that guarantee the mean-square asymptotically stable and H∞ performance of the inferred IT2 fault detection system, the approach of dividing the state space and the values of upper and lower membership functions are exploited. Finally, simulation results are given to show the effectiveness of the presented results. 相似文献
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针对具有非均匀采样的采样数据控制系统,把区间内连续分布的采样间隔序列描述为多元独立同分布随机过程,把闭环系统转化为多输入时滞脉冲模型,通过构造合适的非连续Lyapunov泛函,以及合理地利用在所有采样间隔内输入时滞的时间导数等于1的条件,结合自由权矩阵方法推导了基于LMIs的全局均方渐近稳定性条件,在此基础上运用调节因子法和锥补线性化方法,把控制器设计转化为具有LMI约束的非线性优化问题,并给出了基于LMIs的迭代求解算法.数值实例和实验表明了所得理论结果的优越性和有效性. 相似文献
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离散模糊系统分析与设计的模糊Lyapunov方法 总被引:17,自引:3,他引:17
研究离散T-S模糊控制系统基于模糊Lyapunov函数的稳定性分析及控制器设计问
题.首先,构造出离散型模糊Lyapunov函数,模糊Lyapunov函数是系数与T-S模糊系统的模糊
规则权重相对应的复合型Lyapunov函数.然后,得到了开环系统新的稳定性充分条件,与公共
Lyapunov方法的结果相比,这一条件更为宽松.进而,基于一系列线性矩阵不等式设计出模糊
控制器.最后,仿真实例说明了该方法的算法和本文条件的优越性. 相似文献
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Switching fuzzy controller design based on switching Lyapunov function for a class of nonlinear systems 总被引:4,自引:0,他引:4
Ohtake H. Tanaka K. Wang H.O. 《IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics》2006,36(1):13-23
This paper presents a switching fuzzy controller design for a class of nonlinear systems. A switching fuzzy model is employed to represent the dynamics of a nonlinear system. In our previous papers, we proposed the switching fuzzy model and a switching Lyapunov function and derived stability conditions for open-loop systems. In this paper, we design a switching fuzzy controller. We firstly show that switching fuzzy controller design conditions based on the switching Lyapunov function are given in terms of bilinear matrix inequalities, which is difficult to design the controller numerically. Then, we propose a new controller design approach utilizing an augmented system. By introducing the augmented system which consists of the switching fuzzy model and a stable linear system, the controller design conditions based on the switching Lyapunov function are given in terms of linear matrix inequalities (LMIs). Therefore, we can effectively design the switching fuzzy controller via LMI-based approach. A design example illustrates the utility of this approach. Moreover, we show that the approach proposed in this paper is available in the research area of piecewise linear control. 相似文献
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Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations 总被引:1,自引:0,他引:1
This paper studies the robust fuzzy control problem of uncertain discrete-time nonlinear Markovian jump systems without mode observations. The Takagi and Sugeno (T-S) fuzzy model is employed to represent a discrete-time nonlinear system with norm-bounded parameter uncertainties and Markovian jump parameters. As a result, an uncertain Markovian jump fuzzy system (MJFS) is obtained. A stochastic fuzzy Lyapunov function (FLF) is employed to analyze the robust stability of the uncertain MJFS, which not only is dependent on the operation modes of the system, but also directly includes the membership functions. Then, based on this stochastic FLF and a non-parallel distributed compensation (non-PDC) scheme, a mode-independent state-feedback control design is developed to guarantee that the closed-loop MJFS is stochastically stable for all admissible parameter uncertainties. The proposed sufficient conditions for the robust stability and mode-independent robust stabilization are formulated as a set of coupled linear matrix inequalities (LMIs), which can be solved efficiently by using existing LMI optimization techniques. Finally, it is also demonstrated, via a simulation example, that the proposed design method is effective. 相似文献
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H K Lam Frank H F Leung 《IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics》2007,37(5):1396-1406
This correspondence presents the stability analysis and performance design of the continuous-time fuzzy-model-based control systems. The idea of the nonparallel-distributed-compensation (non-PDC) control laws is extended to the continuous-time fuzzy-model-based control systems. A nonlinear controller with non-PDC control laws is proposed to stabilize the continuous-time nonlinear systems in Takagi-Sugeno's form. To produce the stability-analysis result, a parameter-dependent Lyapunov function (PDLF) is employed. However, two difficulties are usually encountered: 1) the time-derivative terms produced by the PDLF will complicate the stability analysis and 2) the stability conditions are not in the form of linear-matrix inequalities (LMIs) that aid the design of feedback gains. To tackle the first difficulty, the time-derivative terms are represented by some weighted-sum terms in some existing approaches, which will increase the number of stability conditions significantly. In view of the second difficulty, some positive-definitive terms are added in order to cast the stability conditions into LMIs. In this correspondence, the favorable properties of the membership functions and nonlinear control laws, which allow the introduction of some free matrices, are employed to alleviate the two difficulties while retaining the favorable properties of PDLF-based approach. LMI-based stability conditions are derived to ensure the system stability. Furthermore, based on a common scalar performance index, LMI-based performance conditions are derived to guarantee the system performance. Simulation examples are given to illustrate the effectiveness of the proposed approach. 相似文献