共查询到20条相似文献,搜索用时 125 毫秒
1.
提出一种基于变分原理的估计混沌系统未知参数的方法,对以x= F(x,θ) 为控制方程的所有混沌系统具有普适性.首先将混沌系统方程引入到目标泛函中;接着利用变分原理导出了混沌系统的伴随方程和待辨识参数泛函梯度的通用公式;然后设计了估计混沌系统未知参数的算法;最后对典型的Lorenz混沌系统和超混沌Chen系统的未知参数进行了估计.数值仿真结果表明该方法是一种非常有效的估计混沌系统未知参数的方法.
关键词:
混沌系统
参数估计
变分方法
伴随方程 相似文献
2.
以永磁同步发电机为研究对象, 在两相同步旋转坐标系下建立了数学模型. 针对永磁同步发电系统在某些参数和工作条件下出现的混沌运动现象, 在考虑系统扰动的情况下通过求解Riccatic方程得到满足最小性能指标的输出反馈控制增益矩阵, 并将该增益矩阵反馈到系统中, 用来改善系统性能. 仿真结果表明, 基于Riccatic方程的最优输出反馈H∞控制, 在系统发生扰动时, 能对混沌运动下永磁同步发电机做出快速响应, 使系统脱离混沌运动, 运行稳定. 相似文献
3.
4.
5.
6.
7.
8.
9.
10.
文章研究了参数未知的统一超混沌系统的控制与同步问题.首先基于Lyapunov稳定性理论,设计了自适应控制器,证明了该控制器可使参数未知统一超混沌系统渐近稳定于不动点.其次使用自适应反同步方法,设计了自适应同步控制器,实现了参数未知统一超混沌系统的完全同步,最后数值仿真实验进一步验证了所提出方案的有效性.
关键词:
统一超混沌系统
自适应控制器
自适应反同步 相似文献
11.
12.
This Letter investigates the function projective synchronization of different chaotic systems with unknown parameters. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of two different chaotic systems asymptotically synchronized up to a desired scaling function. Numerical simulations on Lorenz system and Newton-Leipnik system are presented to verify the effectiveness of the proposed scheme. 相似文献
13.
14.
B. Bruhn 《Annalen der Physik》1989,501(5):367-375
In this paper we consider the onset of chaotic particle motion in a perturbed Morse potential and the homoclinic bifurcations in a parametrically driven Lorenz system. The Melnikov-Keener method is used to derive bifurcation conditions for the parameters of the dynamical systems. For some selected parameter values the theoretical predictions are checked by numerical experiments. 相似文献
15.
Summary The investigation of the onset of chaos for a dynamical system which models the nonlinear dynamics of particles in anharmonic
potential is analytically performed. It is shown that, in the solutions of the ordinary differential equation which describes
this system, a range of parameter values exists for which the system has in its dynamics the so-called Smale horseshoe, which
is the source of the unstable chaotic motion observed. Furthermore, using the averaging theorem, the stability of the subharmonics
is studied. 相似文献
16.
17.
18.
Chua系统展现出丰富的动力学行为,易于电路实现,因而成为混沌研究的经典范例.然而,现有针对Chua系统的研究大都局限于系统的正参数空间.基于分数阶的时域求解法,研究了分数阶Chua系统在负参数空间下的动力学行为.采用分数阶稳定性理论分析了系统平衡点的稳定性,用分岔图、最大李雅普诺夫指数研究了系统控制参数和阶次变化时系统的动力学行为.为了实验验证系统的动力学行为,采用运放、电阻、电容等模拟器件实现了负参数空间下的分数阶Chua系统,实验结果与数值仿真结果完全一致.该研究成果对进一步完善Chua系统,推动Chua系统在混沌中的应用具有参考价值. 相似文献
19.
《Physica D: Nonlinear Phenomena》1999,125(3-4):201-221
The dynamical behaviour of a reduced form of the perturbed generalized Korteweg–de Vries and Kadomtsev–Petviashvili equations (extension of the Korteweg–de Vries equation to two space variables) are studied in this paper. Harmonic solutions of non-resonance and primary resonance are obtained using the perturbation method. Chaotic motion under harmonic excitations is studied using the Melnikov method.A wide range of solutions for the reduced perturbed generalized Korteweg–de Vries equations, in which non-linear phenomena appearing within transition from regular harmonic response (periodic solutions) to chaotic motion, are obtained using the time integration Runge–Kutta method. When chaos is found, it is detected by examining the phase plane, the Poincaré map, the sensitivity solution of the solution to initial conditions, and by calculating the largest Lyapunov exponent. 相似文献
20.
Bifurcations and chaotic motions in the autonomous system of a restrained pipe conveying fluid 总被引:1,自引:0,他引:1
The stability and dynamics of a cantilevered pipe conveying fluid with motion-limiting constraints and a linear spring support have been investigated. Emphasis is placed on analyzing local qualitative behavior of the system in the neighborhood of a doubly degenerate point. Using some qualitative reduction methods of dynamical system theory, the four-dimensional differential equation of motion is reduced to a two-dimensional one, and then the possible motions of the pipe are predicted through analyzing bifurcations of the solution to the reduced equation of motion. The unfolding result is found to be in good agreement with the result obtained using the numerical method. It is also found that there exist the quasi-periodic motions and route to chaos through breakup of the quasi-periodic torus surface in some parameter region of the system, which differs from that of periodic-doubling bifurcation route found earlier in this system. Numerical simulations have been performed using the four-dimensional equation of motion to confirm the analytical results. 相似文献