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1.
研究了两个具有时变耦合矩阵的复杂动态网络的有限时间广义外部同步的问题。设计了有限时间控制器, 使两个网络能在有限时间内实现外部同步。利用微分方程的有限时间稳定性理论,得到了复杂网络实现有限时间外部同步的充分条件。为了验证所提方案的有效性,给出了仿真算例,算例验证了有限时间广义外部同步方案的有效性。  相似文献   

2.

In this paper, a finite-time tracking control scheme for perturbed undetermined nonlinear systems governed by dead-zone inputs and actuator faults is investigated. By means of dynamic surface control technique, a suitable adaptive neural network controller is introduced, which guarantees that all signals in the closed-loop system are bounded, and that all state trajectories of the error dynamics converge to a small region in the sense of semi-globally practically finite-time stabilization. Finally, a numerical simulation is taken into consideration for the reliability of the proposed methodology.

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3.
熊晶晶  章国宝 《控制与决策》2019,34(7):1559-1564
研究一类非理想变时滞神经网络的有限时间同步问题.首先,利用驱动-响应概念推导误差系统,并运用同步误差构造一个合适的积分滑模流型,若误差系统的状态轨迹在有限时间内到达滑模面,则同步误差将随其后在有限时间内收敛于零.然后,结合神经元激活函数的约束条件,设计一种合适的滑模控制器,根据所设计的控制器和Lyapunov稳定性理论,误差系统的状态轨迹能够在有限时间内到达滑模面,从而非理想变时滞神经网络的有限时间同步能够实现.最后,通过数值仿真结果验证所提出设计方法的有效性.  相似文献   

4.
闫丽宏 《计算机应用研究》2019,36(10):3018-3021,3026
基于滑模控制的优良性能,探讨了利用Terminal滑模控制实现分数阶混沌系统的有限时间同步问题,给出了滑模控制实现具有未知参数和扰动的分数阶Sprott-C驱动—响应系统(阶数0<α<1)的同步结论。通过构造合适的滑动模态曲面,针对系统未知参数上界已知和未知两种情况,设计了合适的分数阶控制器和参数自适应率,结合分数阶微分方程相关理论和有限时间稳定性定理,证明了实现该系统的同步控制结论,并对未知参数和扰动上界进行了准确估计。最后选取适当参数,通过数值仿真,验证了所给结论的有效性和可行性。  相似文献   

5.
研究了节点维数不同的神经网络系统的有限时间同步问题.假设动态神经网络有限时间同步的驱动系统和响应系统都是分别由不同维数的网络耦合而成的,即各系统中单个网络中节点数量不尽相同.然后给出不同维数的神经网络系统的网络模型,并对非线性反馈控制器进行设计,基于李亚普诺夫稳定性理论得到系统的有限时间同步的充分条件.数值算例证明了所提出的方法的有效性.  相似文献   

6.
针对非均匀气隙永磁同步电机(PMSM)混沌系统,提出一种改进的主动有限时间同步控制器.该控制器首先利用主动控制来实现动态误差系统非线性项和线性项的近似解耦,再通过有限时间稳定控制来实现驱动系统和相应系统的有限时间同步.通过仿真实验,验证了该控制器比传统的控制器具有更强的鲁棒性和快速响应能力.  相似文献   

7.
有限时间同步能够确保两个系统在有限的时间内实现同步,具有重要的研究意义.但常见的控制器往往只能确保两个系统渐近同步,而能够实现有限时间同步的控制器目前尚不多见,且存在控制器复杂,不连续易产生抖振现象等缺陷.为此,本文设计了一种简单连续的有限时间同步控制器,实现了主–从无刷直流电动机系统(the brushless DC motor system,BLDCM)的有限时间同步.首先建立了基于该控制器的主–从有限时间同步框架.然后,从理论上证明了两个相同的BLDCM系统有限时间同步的充分性同步判据.最后,通过数值实例验证了所得判据的有效性.  相似文献   

8.

This paper investigates the observer-based adaptive finite-time neural control issue of stochastic non-strict-feedback nonlinear systems. By establishing a state observer and utilizing the approximation property of the neural network, an adaptive neural network output-feedback controller is constructed. The controller solves the issue that the states of stochastic nonlinear system cannot be measured, and assures that all signals in the closed-loop system are bounded. Different from the existing adaptive control researches of stochastic nonlinear systems with unmeasured states, the proposed control scheme can guarantee the finite-time stability of the stochastic nonlinear systems. Furthermore, the effectiveness of the proposed control approach is verified by the simulation results.

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9.

This thesis’s object is inertial memristive neural networks (IMNNs) with proportional delays and switching jumps mismatch. Different from the traditional bounded delay, the proportional delay will be infinite as t → ∞. The finite-time synchronization (FN-TS) and fixed-time synchronization (FX-TS) can be realized with the devised controllers for the drive-response systems (D-RSs). Along with the Lyapunov function and some inequalities, the synchronization criteria of D-RSs are given. This paper presents an optimization model with minimum control energy and dynamic error as objective functions, aiming to obtain more accurate and optimized controller parameters. An intelligent algorithm: particle swarm optimization with stochastic inertia weight (SIWPSO) algorithm is introduced to solve the optimization model. Meanwhile, an integrated algorithm for selecting optimal control parameters is presented as well. In this method, the optimal control parameters and the setting time of synchronization can be obtained directly. At last, some simulations are presented to verify the theorems and the optimization model.

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10.
基于有限时间系统同步的自治水下航行器回收控制   总被引:1,自引:0,他引:1  
吴泽伟  吴晓锋 《自动化学报》2013,39(12):2164-2169
基于主-从系统状态同步的思想,提出了母艇在平面运动中回收自治水下航行器(Autonomous underwater vehicle,AUV)的一种控制方法. 在给出母艇和自治水下航行器的动力学模型基础上,建立了自治水下航行器(从系统)接收母艇(主系统)的状态信息并控制自身接近母艇的主从控制方案,使母艇自主回收水下航行器的问题转化为两者的运动状态同步问题. 利用有限时间稳定性理论,设计了一种在常值海流扰动影响下,自治水下航行器能够在有限时间内被母艇回收的滑模控制器,理论证明和仿真实例证实了该控制器的有效性.  相似文献   

11.
本文研究了无刷直流电机(brushless direct current motor,BLDCM)混沌系统的全局有限时间同步问题.利用混沌吸引子的有界性,提出了两步控制策略.首先不施加控制,让主–从混沌系统各自的轨迹收敛到各自的吸引子中,并估计了吸引子的界和收敛时间;再对收敛到吸引子的从系统施加状态误差反馈控制,根据有限时间稳定性理论,得出该控制器在满足一定条件时,两个相同的混沌系统可以快速达到有限时间同步.这种方法在主从系统的初始值相差很大的情况下可以大大减少控制成本,并且可以并估计同步时间.文章最后用仿真结果验证了所得判据的可行性和有效性.  相似文献   

12.
基于时变障碍李雅普诺夫函数的变体无人机有限时间控制   总被引:2,自引:0,他引:2  
针对复杂扰动下可执行多种任务的复合式变体无人机,提出了一种基于浸入与不变(Immersion and invariance,I&I)理论和隐含系统状态受限条件的复合时变障碍Lyapunov函数(Composite time-varying barrier Lyapunov function,CTV-BLF)的控制方案.设计了一种基于浸入与不变理论的扰动观测器,构建了一种基于监督因子的有限时间动态尺度因子(Finite-time dynamic scaling factor, FT-DSF)调节器.在此基础上,设计了一种基于复合时变障碍Lyapunov函数和动态滑模面的控制器,保证系统状态始终在约束条件之内.通过衍生定理证明轨迹跟踪误差是有限时间稳定的.最终仿真结果验证了所提方案的有效性.  相似文献   

13.
张航  王天波  丁阳 《信息与控制》2022,51(2):168-175
针对一类不确定中立型时滞系统,利用滑模控制理论研究其有限时间稳定问题。首先构造了适当的滑模面及状态反馈控制器,使得系统的状态轨线能够在有限时间内到达滑模面并维持滑动模态。然后利用李雅普诺夫稳定性理论和不等式放缩技巧,研究了闭环系统状态在滑动模态段的有限时间稳定问题,得到了该系统是有限时间稳定的充分条件,该条件以线性矩阵不等式的形式给出,易于求解。最后通过一个数值仿真算例,验证了所得结论的有效性。  相似文献   

14.
时滞扩散性复杂网络同步保性能控制   总被引:6,自引:4,他引:2  
针对节点扩张的时滞复杂网络系统, 在节点扩张的条件下, 讨论此类系统的同步保性能控制问题. 首先采用自适应控制方法, 利用Lyapunov-Krasovskii稳定性理论,结合矩阵不等式的凸优化问题处理方法, 得出了时 滞复杂网络系统保性能控制器存在的充分条件; 当系统节点的扩张后, 在原有自适应控制器不能使系统同步稳定的条件下, 设计脉冲控制器, 利用牵制控制原理使系统达到稳定同步. 所设计的自适应动态反馈控制器在保证系统的渐近稳定条件下使系 统性能指标满足一定的要求. 最后给出一个数值仿真说明其有效性.  相似文献   

15.

This paper studies the problem of finite-time fuzzy adaptive dynamic surface control (DSC) design for a class of single-input and single-output (SISO) high-order nonlinear systems with output constraint. Fuzzy logic systems (FLSs) are utilized to identify the unknown smooth functions. By adopting Barrier Lyapunov function (BLF), the problem of output constrain is handled. Combining adding a power integrator and adaptive backstepping recursion design technique, a novel fuzzy adaptive finite-time DSC algorithm is proposed. Based on finite-time Lyapunov stable theory, the developed control algorithm means that all the signals of the closed-loop system are semi-global practical finite-time stable (SGPFS) and the tracking error converges to a small neighborhood of origin in finite time. In addition, the output does not violate the given constrain bound. Finally, both numerical and practical simulation examples are given to illustrate the effectiveness of the proposed control algorithm.

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16.

In this paper, fractional calculus theory is employed to inspect a finite time fault tolerant controller for robotic manipulators in the presence of uncertainties, unknown external load disturbances, and actuator faults, using fractional-order adaptive backstepping approach in order to achieve, fast response and high-precision tracking performance. Knowing the advantages of adaptive controllers an adaptive form of the above controller is then established to deal with the overall uncertainties in the system. The most important property of the proposed controller is that we do not need to have knowledge about the actuator fault, external disturbances and system uncertainties exist in system. In this study two important achievements are made. The first one is that the finite time convergence of closed-loop system is ensured irrespective of initial states values. The second one is that the effects of the actuator faults and other uncertainties are attenuated by the suggested controller. The performance of the suggested controller is then tested for a PUMA560 robot in which the first three joints are used. The simulation results validate the usefulness of the suggested finite-time fractional-order adaptive backstepping fault-tolerant (FOAB-FTC) controller in terms of accuracy of tracking, and convergent speed.

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17.
The problem of finite-time synchronization for memristive neural networks (MNNs) with proportional delay is considered. Since proportional delay is unbounded and different from infinite-time distributed delay, the classical finite-time analytical techniques are not applicable anymore. First, a discontinuous state feedback controller is designed such that the delayed MNNs achieve drive-response synchronization in a finite settling time. By using Filippov solution and Lyapunov functional method, sufficient conditions are derived. It is shown that, though the proportional delay is unbounded, complete synchronization can still be realized and the settling time can be explicitly estimated. Second, a special adaptive controller is designed for the finite-time problem in order to reduce the control gains. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.  相似文献   

18.

This paper studies the problem of adaptive neural network finite-time control for a class of non-triangular nonlinear systems with input saturation. Under the assumption that the nonlinearities have strict increasing smooth bounding functions, the backstepping technique can be used to design the state feedback controller and adaptive laws. Neural networks are adopted to approximate some unknown nonlinear functions. With the help of the finite-time Lyapunov stability theorem, it can be proved that the state of the closed-loop system can converge to an arbitrarily small neighborhood of the origin in a finite time. Finally, a numerical simulation example is given to show the effectiveness of the proposed design method.

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19.

研究存在输入饱和受限下的飞行器姿态控制问题, 提出一种有限时间姿态镇定方案. 针对基于修改的Rodriguez 参数模型的飞行器姿态控制系统, 基于齐次性理论和饱和控制器设计方法, 并充分利用系统的模型结构特征, 设计一类饱和的有限时间姿态控制器, 使得姿态可以在有限时间内被镇定到平衡点. 仿真结果验证了所设计姿态控制器的有效性.

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20.
针对输入受限的多自由度机械臂高精度位置控制问题,本文充分考虑驱动器饱和非线性的影响,提出了多自由度机械臂输出反馈饱和有限时间比例–微分(PD)+同步位置控制策略,应用Lyapunov稳定性理论和几何齐次性技术证明了闭环系统的全局有限时间稳定性.非线性饱和函数的恰当引入,使得所提出的控制器具有清晰明确的上界,可以通过预先选择满足特定条件的控制器参数有效避免驱动器饱和问题;同步控制项的恰当引入,使得所提出的控制器兼顾了多自由度机械臂各轴间的同步协调性,从而获得更快的收敛速度和更好的系统整体性能,满足工程实际对机械臂的高精度要求.本文的数值仿真结果验证了所提出的控制方法的有效性和可行性.  相似文献   

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