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1.
针对网络控制系统中存在的不确定时滞,将网络控制系统模型转化为不确定系数的离散时间模型。利用Lya-punov稳定性理论和线性矩阵不等式技术,提出动态输出鲁棒控制器的设计方法,同时给出闭环系统鲁棒渐近稳定的充分条件。仿真例子验证了所提方法的有效性。  相似文献   

2.
主要研究了带有时滞的不确定随机系统的均方鲁棒指数稳定性问题。根据有关线性矩阵不等式理论,结合李亚普诺夫函数法,充分利用系统的扩散项,建立了1个新的时滞相关稳定判据,使文中的时滞不确定随机系统是鲁棒均方指数稳定的。给出了具体的数值例子说明了研究结果的可行性和有效性。  相似文献   

3.
主要研究了带有时滞的不确定随机系统的均方鲁棒指数稳定性问题.根据有关线性矩阵不等式理论,结合李亚普诺夫函数法,充分利用系统的扩散项,建立了1个新的时滞相关稳定判据,使文中的时滞不确定随机系统是鲁棒均方指数稳定的.给出了具体的数值例子说明了研究结果的可行性和有效性.  相似文献   

4.
本文研究了基于滑模控制的一类不确定分数阶广义系统的可容许性和鲁棒无源性问题。首先,设计了一种含有奇异矩阵的分数阶积分型切换函数,对其求分数阶导数推导出等效控制,进而得到滑动模态方程。其次,针对滑动模态方程和系统输出方程,利用线性矩阵不等式技巧,给出了系统滑动模态具有鲁棒无源性和可容许性的充分性判据,并进一步建立了鲁棒无源可容许的可解性条件。同时,设计的分数阶滑模控制律保证了闭环系统状态轨迹能够到达预设的切换面。最后,通过一个仿真实例验证了本文结果的有效性。  相似文献   

5.
研究一类具有Leakage变时滞和不确定参数的脉冲反应扩散神经网络的平衡点的鲁棒指数稳定性。所研究模型中的Leakage时滞为变时滞,脉冲既与神经元当前状态有关,又与Leakage时滞和传输时滞所产生的历史状态有关。利用Lyapunov函数、Razumikhin技巧和线性矩阵不等式(LMI)方法获得了系统鲁棒指数稳定的新的判别条件。最后给出一个实例说明结果的有效性和实用性。  相似文献   

6.
本文研究了一类线性离散时滞系统的指数稳定问题。通过构造适当的Lyapunov-Krasovskii泛函,利用矩阵不等式技术,给出了线性离散时滞系统与时滞相关的指数稳定的充分条件。应用本文的结果,得到了不确定离散时滞系统与时滞相关的鲁棒指数稳定的新判据,并用数值算例说明了本文结果的可行性与有效性。  相似文献   

7.
对于一类具有变时滞和控制器增益摄动的非线性系统,研究非脆弱保成本控制问题。在控制器参数存在加法摄动和乘法摄动2种情况下,设计1个无记忆状态反馈非脆弱保成本控制律,使闭环系统渐近稳定,并且闭环性能指标不超过某个确定的上界。利用线性矩阵不等式方法,给出时滞相关的非脆弱保成本控制律存在的条件和控制器的设计方法。  相似文献   

8.
文中讨论了一类线性中立型不确定时滞系统的鲁棒稳定性问题。在Lyapunov泛函的基础上,通过引入一些能够减少结论保守性的松弛矩阵,得到了1个基于线性矩阵不等式(LMI)的时滞相关稳定性的充分条件。最后用数值例子说明了本文结果的有效性。  相似文献   

9.
带乘性噪声系统由于其广泛的适用性,一直成为研究的热点。针对带乘性噪声系统的鲁棒状态估计算法进行研究,利用线性矩阵不等式的方法,讨论状态方程中含有范数有界不确定性参数的带乘性噪声系统的方差约束鲁棒状态估计器存在的条件,并针对此类带乘性噪声系统推导出1套方差约束鲁棒状态估计算法以及最优方差约束鲁棒状态估计算法。仿真结果验证算法的有效性。  相似文献   

10.
采用无滞后控制系统与滞后控制系统的等价性方法,研究了多组多滞后区间系数中立型非线性时变控制系统的鲁棒镇定问题,给出了区间长度及时滞的估计范围,进而得到了系统渐近稳定的判定条件。此判据包涵了有关文献的结果,结论更具有一般性。  相似文献   

11.
研究了一类非匹配不确定离散广义系统的准滑模控制问题。给出了带有扰动补偿的离散广义趋近律,消除了常规滑模控制中不确定项必须有界的限制,且不必满足匹配条件。所设计的滑模控制在有限时间内可达切换面,减小了准滑动模态带宽,有效地削弱了系统抖振,改善了系统动态品质。数值算例验证了该方法的可行性与有效性。  相似文献   

12.
This paper proposes a saturated tracking controller for underactuated autonomous marine surface vehicles with limited torque. First, a second-order open-loop error dynamic model is developed in the actuated degrees of freedom to simplify the design procedure. Then, a saturated tracking controller is designed by utilizing generalized saturation functions to reduce the risk of actuator saturation. This, in turn, improves the transient performance of the control system. A multi-layer neural network and adaptive robust control techniques are also employed to preserve the controller robustness against unmodeled dynamics and environmental disturbances induced by waves and ocean currents. A Lyapunov stability analysis shows that all signals of the closed-loop system are bounded and tracking errors are semi-globally uniformly ultimately bounded. Finally, simulation results are provided for a hovercraft vehicle to illustrate the effectiveness of the proposed controller as a qualified candidate for real implementations in offshore applications.  相似文献   

13.
A new control scheme for robust trajectory control based on direct estimation of system dynamics is proposed for underwater vehicles. The proposed controller can work satisfactorily under heavy uncertainty that is commonly encountered in the case of underwater vehicle control. The dynamics of the plant are approximately canceled through the feedback of delayed accelerations and control inputs. Knowledge of the bounds on uncertain terms is not required. It is shown that only the rigid body inertia matrix is sufficient to design the controller. The control law is conceptually simple and computationally easy to implement. The effectiveness of the controller is demonstrated through simulations and implementation issues are discussed.  相似文献   

14.
作者讨论矩阵方程 ATX+ XTA=B。该方程在 Hamilton力学研究中有用。首先利用L yapunov方程证明了极小 Frobenius范数解的存在性和惟一性。然后用奇异值分解给出了求解最小范数解的一种方法。最后讨论极小范数解的向前扰动分析和最佳向后扰动分析  相似文献   

15.
In the case of Autonomous Underwater Vehicle(AUV) navigating with low speed near water surface,a new method for design of roll motion controller is proposed in order to restrain wave disturbance effectively and improve roll stabilizing performance.Robust control is applied,which is based on uncertain nonlinear horizontal motion model of AUV and the principle of zero speed fin stabilizer.Feedback linearization approach is used to transform the complex nonlinear system into a comparatively simple linear system.For parameter uncertainty of motion model,the controller is designed with mixed-sensitivity method based on H-infinity robust control theory.Simulation results show better robustness improved by this control method for roll stabilizing of AUV navigating near water surface.  相似文献   

16.
We study the evolution of finite perturbations in the Lorenz '96 model, a meteorological toy model of the atmosphere. The initial perturbations are chosen to be aligned along different dynamic vectors: bred, Lyapunov, and singular vectors. Using a particular vector determines not only the amplification rate of the perturbation but also the spatial structure of the perturbation and its stability under the evolution of the flow. The evolution of perturbations is systematically studied by means of the so-called mean-variance of logarithms diagram that provides in a very compact way the basic information to analyse the spatial structure. We discuss the corresponding advantages of using those different vectors for preparing initial perturbations to be used in ensemble prediction systems, focusing on key properties: dynamic adaptation to the flow, robustness, equivalence between members of the ensemble, etc. Among all the vectors considered here, the so-called characteristic Lyapunov vectors are possibly optimal, in the sense that they are both perfectly adapted to the flow and extremely robust.  相似文献   

17.
This paper is concerned with the robust control synthesis of autonomous underwater vehicle(AUV) for general path following maneuvers.First,we present maneuvering kinematics and vehicle dynamics in a unified framework.Based on H∞ loop-shaping procedure,the 2-DOF autopilot controller has been presented to enhance stability and path tracking.By use of model reduction,the high-order control system is reduced to one with reasonable order,and further the scaled low-order controller has been analyzed in both the frequency and the time domains.Finally,it is shown that the autopilot control system provides robust performance and stability against prescribed levels of uncertainty.  相似文献   

18.
乘性区间线性系统鲁棒稳定性   总被引:1,自引:0,他引:1  
研究乘性区间线性系统的鲁棒稳定性分析问题.首先根据特征值判据,给出单乘性区间线性系统鲁棒稳定性的充分必要条件.对于多乘性区间线性系统,给出边界值矩阵的定义.然后利用Lyapunov稳定性理论,给出多乘性区间线性系统的鲁棒稳定性判据.最后,通过1个反例说明文中方法的有效性.  相似文献   

19.
In this paper, a novel robust impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the theory of impulsive functional differential equations and a new differential inequality, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined region. Finally, some numerical simulations for the Lorenz system and Chen system are given to demonstrate the effectiveness and feasibility of the proposed method. Compared with the existing results based on so-called dual-stage impulsive control, the derived results reduce the complexity of impulsive controller, moreover, a larger stable region can be obtained under the same parameters, which can be shown in the numerical simulations finally.  相似文献   

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