共查询到20条相似文献,搜索用时 0 毫秒
1.
This paper addresses the control problem of a class of complex
dynamical networks with each node being a Lur'e system whose
nonlinearity satisfies a sector condition, by applying local
feedback injections to a small fraction of the nodes. The pinning
control problem is reformulated in the framework of the absolute
stability theory. It is shown that the global stability of the
controlled network can be reduced to the test of a set of linear
matrix inequalities, which in turn guarantee the absolute stability
of the corresponding Lur'e systems whose dimensions are the same as
that of a single node. A circle-type criterion in the frequency
domain is further presented for checking the stability of the
controlled network graphically. Finally, a network of Chua's
oscillators is provided as a simulation example to illustrate the
effectiveness of the theoretical results. 相似文献
2.
Exponential synchronization of chaotic Lur’e systems with time-varying delay via sampled-data control 下载免费PDF全文
In this paper, we study the exponential synchronization of chaotic Lur'e systems with time-varying delays via sampled-data control by using sector nonlinearties. In order to make full use of information about sampling intervals and interval time-varying delays, new Lyapunov-Krasovskii functionals with triple integral terms are introduced. Based on the convex combination technique, two kinds of synchronization criteria are derived in terms of linear matrix inequal- ities, which can be efficiently solved via standard numerical software. Finally, three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results. 相似文献
3.
The synchronizing problem of a chaotic system is investigated based on the observer design. The nonlinear section is assumed to satisfy the Lipschitz condition. Firstly, the normal observer is designed based on the known Lipschitz constant and the results are given in linear matrix inequality (LMI) form. Then a fairly simple adaptive observer is designed with the Lipschitz constant unknown. Simulations on synchronizing the Lorenz system are investigated and the results show the validity and feasibility of our main results. 相似文献
4.
《中国物理 B》2021,30(10):100503-100503
We investigate the synchronization problem between identical chaotic systems only when necessary measurement(output) and actuation(input) are needed to be implemented by the adaptive controllers. A sufficient condition is derived based on the Lyapunov stability theory and Schur complementary lemma. Moreover, the theoretic result is applied to the Rikitake system and the hyperchaotic Liu system to show its effectiveness and correctness. Numerical simulations are presented to verify the results. 相似文献
5.
Synchronization between two different chaotic systems with nonlinear feedback control 总被引:1,自引:0,他引:1 下载免费PDF全文
This paper presents chaos synchronization between two different chaotic
systems by using a nonlinear controller, in which the nonlinear functions of
the system are used as a nonlinear feedback term. The feedback controller is
designed on the basis of stability theory, and the area of feedback gain is
determined. The artificial simulation results show that this control method
is commendably effective and feasible. 相似文献
6.
7.
8.
The impulsive control of chaotic systems, which are subjected to
unbounded exogenous perturbations, is considered. By using the
theory of impulsive differential equation together with the fuzzy
control technique, the authors propose an impulsive robust chaos
controlling criterion expressed as linear matrix inequalities
(LMIs). Based on the proposed control criterion, the procedure for
designing impulsive controllers of common (perturbed) chaotic
systems is provided. Finally, a numerical example is given to
demonstrate the obtained theoretical result. 相似文献
9.
This article investigates the H∞ synchronization problem for a general class of chaotic systems. Based on Lyapunov theory, linear matrix inequality (LMI) and linear matrix equality (LME) formulation, the output feedback controller is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an H∞-norm constraint. Two illustrative examples are provided to demonstrate the effectiveness of the developed theoretical results. 相似文献
10.
This paper studies the robust fuzzy control for nonlinear chaotic system in the
presence of parametric uncertainties. An uncertain Takagi--Sugeno (T--S) fuzzy model
is employed for fuzzy modelling of an unknown chaotic system. A sufficient condition
formulated in terms of linear matrix inequality (LMI) for the existence of fuzzy
controller is obtained. Then the output feedback fuzzy-model-based regulator derived
from the LMI solutions can guarantee the stability of the closed-loop overall fuzzy
system. The T--S fuzzy model ofthe chaotic Chen system is developed as an example
for illustration. The effectiveness of the proposed controller design methodology is
finally demonstrated through computer simulations on the uncertain Chen chaotic
system. 相似文献
11.
Yeong-Jeu Sun 《Physics letters. A》2009,373(36):3273-3276
In this Letter, the concept of practical synchronization is introduced and the chaos synchronization of uncertain Genesio-Tesi chaotic systems with deadzone nonlinearity is investigated. Based on the time-domain approach, a tracking control is proposed to realize chaos synchronization for the uncertain Genesio-Tesi chaotic systems with deadzone nonlinearity. Moreover, the guaranteed exponential convergence rate and convergence radius can be pre-specified. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained result. 相似文献
12.
Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems) 下载免费PDF全文
Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well. 相似文献
13.
A controller is designed to realize the synchronization between
chaotic systems with different orders. The structure of the
controller, the error equations and the Lyapunov functions are
determined based on stability theory. Hyperchaotic Chen system and
Rossler system are taken for example to demonstrate the method to be
effective and feasible. Simulation results show that all the state
variables of Rossler system can be synchronized with those of
hyperchaotic Chen system by using only one controller, and the error
signals approach zero smoothly and quickly. 相似文献
14.
Exponential synchronization of stochastic impulsive perturbed chaotic Lur''e systems with time-varying delay and parametric uncertainty 下载免费PDF全文
This paper is devoted to investigating the scheme of exponential synchronization for uncertain stochastic impulsive perturbed chaotic Lur'e systems. The parametric uncertainty is assumed to be norm bounded. Based on the Lyapunov function method, time-varying delay feedback control technique and a modified Halanay inequality for stochastic differential equations, several sufficient conditions are presented to guarantee the exponential synchronization in mean square between two identical uncertain chaotic Lur'e systems with stochastic and impulsive perturbations. These conditions are expressed in terms of linear matrix inequalities (LMIs), which can easily be checked by utilizing the numerically efficient Matlab LMI toolbox. It is worth pointing out that the approach developed in this paper can provide a more general framework for the synchronization of multi-perturbation chaotic Lur'e systems, which reflects a more realistic dynamics. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. 相似文献
15.
16.
17.
In this Letter, the synchronization problem for a class of complex dynamical networks in which every identical node is a Lur'e system with time-varying delay is considered. A delay-dependent synchronization criterion is derived for the synchronization of complex dynamical network that represented by Lur'e system with sector restricted nonlinearities. The derived criterion is a sufficient condition for absolute stability of error dynamics between the each nodes and the isolated node. Using a convex representation of the nonlinearity for error dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI formulation. The proposed delay-dependent synchronization criterion is less conservative than the existing ones. The effectiveness of our work is verified through numerical examples. 相似文献
18.
This paper deals with the robust fuzzy control for chaotic systems in the
presence of parametric uncertainties. An uncertain Takagi--Sugeno fuzzy model
for a Lorenz chaotic system is first constructed. Then a robust fuzzy state
feedback control scheme ensures the control for stable operations under
bounded parametric uncertainties. For a chaotic system with known
uncertainty bounds, a robust fuzzy regulator is designed by choosing the
control parameters satisfying the linear matrix inequality. To verify the
validity and effectiveness of the proposed controller design method, an
analysis technique is suggested and applied to the control of an uncertain
Lorenz chaotic system. 相似文献
19.