共查询到20条相似文献,搜索用时 9 毫秒
1.
《Fuzzy Systems, IEEE Transactions on》1999,7(5):508-520
Points out how the nonlinearities involved in multivariable Takagi-Sugeno (T-S) fuzzy control systems could originate complex behavior phenomena, such as multiple equilibrium points or limit cycles, that cannot be detected using conventional stability analysis techniques. In the paper, the application of MIMO frequency-domain methods to predict the existence of multiple equilibria and of limit cycles are presented. The proposed method is based on the formulation of a Lur'e problem from the original structure of a T-S fuzzy system with a fuzzy controller. Furthermore, this technique makes straightforward the application of input-output stability techniques such as the multivariable circle criterion, also called the conicity criterion, and the harmonic balance method. Moreover, in the paper, the application of the harmonic balance method has been generalized to the case of a MIMO fuzzy system with asymmetric nonlinearities and improved by the decreasing conservatism. A new and more general stability index which could be used to perform a bifurcation analysis of fuzzy control systems is presented. The paper includes a collection of examples where the advantages of the proposed approach are made explicit comparing it to the input-output conicity criterion and the Lyapunov direct method 相似文献
2.
Robustness design of fuzzy control for nonlinear multiple time-delay large-scale systems via neural-network-based approach 总被引:2,自引:0,他引:2
Feng-Hsiag Hsiao Sheng-Dong Xu Chia-Yen Lin Zhi-Ren Tsai 《IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics》2008,38(1):244-251
The stabilization problem is considered in this correspondence for a nonlinear multiple time-delay large-scale system. First, the neural-network (NN) model is employed to approximate each subsystem. Then, a linear differential inclusion (LDI) state-space representation is established for the dynamics of each NN model. According to the LDI state-space representation, a robustness design of fuzzy control is proposed to overcome the effect of modeling errors between subsystems and NN models. Next, in terms of Lyapunov's direct method, a delay-dependent stability criterion is derived to guarantee the asymptotic stability of nonlinear multiple time-delay large-scale systems. Finally, based on this criterion and the decentralized control scheme, a set of fuzzy controllers is synthesized to stabilize the nonlinear multiple time-delay large-scale system. 相似文献
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4.
The robust stability problem of continuous-time singular systems with multiple state delays and bounded parametric uncertainties is considered. Both commensurate and non-commensurate delays are investigated. On the basis of the linear fractional transformations (LFTs) framework and μ-analysis, a systematic approach is derived to convert the robustness problem to a robust nonsingularity problem. Some explicit conditions are proposed to guarantee the uncertain singular time-delay system being regular, impulse-free and stable independent of delay. Two illustrative examples are given to show the feasibility of the proposed technique. 相似文献
5.
Chen-Sheng Ting Chuan-Sheng Liu 《Soft Computing - A Fusion of Foundations, Methodologies and Applications》2011,15(5):877-888
This investigation considers stability analysis and control design for nonlinear time-delay systems subject to input saturation.
An anti-windup fuzzy control approach, based on fuzzy modeling of nonlinear systems, is developed to deal with the problems
of stabilization of the closed-loop system and enlargement of the domain of attraction. To facilitate the designing work,
the nonlinearity of saturation is first characterized by sector conditions, which provide a basis for analysis and synthesis
of the anti-windup fuzzy control scheme. Then, the Lyapunov–Krasovskii delay-independent and delay-dependent functional approaches
are applied to establish sufficient conditions that ensure convergence of all admissible initial states within the domain
of attraction. These conditions are formulated as a convex optimization problem with constraints provided by a set of linear
matrix inequalities. Finally, numeric examples are given to validate the proposed method. 相似文献
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7.
Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control 总被引:6,自引:0,他引:6
Feng-Hsiag Hsiao Jung-Dong Hwang Cheng-Wu Chen Zhi-Ren Tsai 《Fuzzy Systems, IEEE Transactions on》2005,13(1):152-163
To overcome the effect of modeling errors between nonlinear multiple time-delay subsystems and Takagi-Sugeno (T-S) fuzzy models with multiple time delays, a robustness design of fuzzy control is proposed in This work. In terms of Lyapunov's direct method, a delay-dependent stability criterion is hence derived to guarantee the asymptotic stability of nonlinear multiple time-delay large-scale systems. Based on this criterion and the decentralized control scheme, a set of model-based fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear multiple time-delay large-scale system. Finally, a numerical example with simulations is given to demonstrate the concepts discussed throughout This work. 相似文献
8.
Chong Lin Qing-Guo Wang Tong Heng Lee 《Fuzzy Systems, IEEE Transactions on》2005,13(6):787-798
In view of a recent new application of variable structure control (VSC) to the stabilization problem for Takagi-Sugeno (T-S) fuzzy models, this paper aims to study the stabilization of uncertain fuzzy time-delay systems in T-S fuzzy model via VSC approach. There are mainly two features in this paper: one lies in the incorporation of time-delays (both smooth and nonsmooth delays) in which case Lyapunov functionals and Razumikhin Theorem are required to solve the stabilization problem; the other feature is that not only matched uncertainties but also mismatched uncertainties in the state variables are considered. As a sequence, the contribution of this paper consists of various control schemes proposed for the VSC design and the present results are in terms of linear matrix inequalities (LMIs). An illustrative example is given to show the effectiveness of our various results. 相似文献
9.
Time delays frequently occur in electrical and mechanical systems. In addition, systems such as population growth, epidemic growth and neural networks are commonly modelled by delay differential equations. Although it is difficult to investigate time delay systems, we can use the delay matrix L(s) to simplify the problem. 相似文献
10.
Claudio De Persis Frédéric Mazenc 《Mathematics of Control, Signals, and Systems (MCSS)》2010,21(4):337-370
Lyapunov–Krasowskii functionals are used to design quantized control laws for nonlinear continuous-time systems in the presence
of constant delays in the input. The quantized control law is implemented via hysteresis to avoid chattering. Under appropriate
conditions, our analysis applies to stabilizable nonlinear systems for any value of the quantization density. The resulting
quantized feedback is parametrized with respect to the quantization density. Moreover, the maximal allowable delay tolerated
by the system is characterized as a function of the quantization density. 相似文献
11.
Bipartite consensus for nonlinear time-delay multiagent systems via time-varying gain control method
The bipartite consensus problem is addressed for a class of nonlinear time-delay multiagent systems in this paper. Therein, theuncertain nonlinear dynamics of all agents satisfy a Lipschitz growth condition with unknown constants, and part of the stateinformation cannot be measured. In this case, a time-varying gain compensator is constructed, which only utilizes the outputinformation of the follower and its neighbors. Subsequently, a distributed output feedback control protocol is proposed on thebasis of the compensator. According to Lyapunov stability theory, it is proved that the bipartite consensus can be guaranteed bymeans of the designed control protocol. Different from the existing literature, this paper studies the leader–follower consensusproblem under a weaker connectivity condition, i.e., the signed directed graph is structurally balanced and contains a directedspanning tree. Two simulation examples are carried out to show the feasibility of the proposed control strategy 相似文献
12.
The theory of non-commutative rings is introduced to provide a basis for the study of nonlinear control systems with time delays. The left Ore ring of non-commutative polynomials defined over the field of meromorphic function is suggested as the framework for such a study. This approach is then generalized to a broader class of nonlinear systems with delays that are called generalized Roesser systems. Finally, the theory is applied to analyze nonlinear time-delay systems. A weak observability is defined and characterized, generalizing the well-known linear result. Properties of closed submodules are then developed to obtain a result on the accessibility of such systems. 相似文献
13.
In this paper, we address the filtering problem for a general class of nonlinear time-delay stochastic systems. The purpose of this problem is to design a full-order filter such that the dynamics of the estimation error is guaranteed to be stochastically exponentially ultimately bounded in the mean square. Both filter analysis and synthesis problems are considered. Sufficient conditions are proposed for the existence of desired exponential filters, which are expressed in terms of the solutions to algebraic Riccati inequalities involving scalar parameters. The explicit characterization of the desired filters is also derived. A simulation example is given to illustrate the design procedures and performances of the proposed method. 相似文献
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Backstepping design for time-delay nonlinear systems 总被引:1,自引:0,他引:1
The backstepping approach is adapted to the problem of globally uniformly asymptotically stabilizing nonlinear systems in feedback form with a delay arbitrarily large in the input. The strategy of design relies on the construction of a Lyapunov-Krasovskii functional. Continuously differentiable control laws are constructed. 相似文献
16.
非线性时滞系统的观测器设计 总被引:1,自引:0,他引:1
研究了一类满足Lipschitz条件的下三角非线性时滞系统的观测器设计问题.通过构造适当的Lyapunov泛函,用递推法给出了使得误差动态系统渐近趋于零的非线性时滞系统的状态观测器. 相似文献
17.
T. A. Bryntseva 《International journal of control》2013,86(9):1985-1992
A class of nonlinear hybrid systems consisting of a continuous plant and a multirate sampled-data controller is considered. Applying the time-delay approach, the system is transformed to the system with a time-varying sawtooth delay. Then, the value of the sampling intervals ensuring stability of the closed-loop system is estimated based on the frequency-domain circle-like criterion for systems with time-varying delay. Such a criterion for multirate MIMO systems is established based on the previous result for SISO systems proposed by M.Churilova in 1995. Efficiency and advantages of the method are illustrated by numerical examples. The key advantage of the proposed approach is that it is applicable to multirate systems nonaffine in control. It allows one to use a nonlinear feedback for stabilisation. Particularly, the case of nonsmooth or discontinuous nonlinear systems can be treated. 相似文献
18.
Xudong Ye Author vitae 《Automatica》2011,(5):950-955
In this paper, we consider the adaptive stabilization problem for feedforward nonlinear systems with time delays. An adaptive stabilizer is proposed. Our stabilizer takes a nested saturation feedback, and a set of switching logics is designed to tune online the saturation levels in a piecewise constant or switching manner. It has been shown that under our proposed control, all closed-loop states are bounded and asymptotic regulation is achieved. 相似文献
19.
Approximation-based control of nonlinear MIMO time-delay systems 总被引:3,自引:0,他引:3
Approximation-based control is presented for a class of multi-input multi-output (MIMO) nonlinear systems in block-triangular form with unknown state delays. Neural networks (NNs) are utilized to approximate and compensate for unknown functions in the system dynamics, including the unknown bounds of the functions of delayed states. The use of a separation technique removes the need for any assumption on the function of delayed states, and allows the handling of multiple delays in each function of delayed states. By combining the use of Lyapunov-Krasovskii functionals and adaptive NN backstepping, the proposed control guarantees that all closed-loop signals remain bounded, while the outputs converge to a neighborhood of the desired trajectories. Simulation results demonstrate the effectiveness of the proposed scheme. 相似文献
20.
The shifted Jacobi delay operational matrix is introduced, and applied to the approximation of the solutions of linear systems with arbitrary time delay. The parameter-identification problem for time-delay systems is also dealt with. The new method is algebraic and computer-oriented. Two examples are given, and the results are very accurate and satisfactory. 相似文献