共查询到18条相似文献，搜索用时 281 毫秒
1.
研究了一类不确定时滞非线性系统的鲁棒镇定问题.不确定参数是时变未知有界的,但不一定满足所谓的匹配条件.利用线性矩阵不等式,一些充分条件被获得,保证了相应闭环系统的鲁棒稳定性,并在此基础上得出了相应的状态反馈控制器.最后,通过一个数值例子说明了该方法的有效性. 相似文献
2.
研究了一类时变不确定系数多离散时滞中立型系统的时滞相关鲁棒稳定性问题.利用线性矩阵不等式技术,提出了一种计算该系统自由权矩阵和时滞上界的简化方法,并在系统中考虑了中立项时滞和离散时滞,得到了上述系统为稳定与鲁棒稳定的一些充分条件.最后,用数值例子说明了该方法的有效性和较小的保守性. 相似文献
3.
通过类Lyapunov方法,结合线性矩阵不等式(LMI)技术,给出了具有时滞的Lipschitz非线性离散系统全维观测器存在的充分条件.在此基础上,设计了具有扰动的时滞Lipschitz非线性离散系统的鲁棒观测器,提出了该鲁棒观测器存在的一个充分条件,并用具体例子说明了其可行性与有效性. 相似文献
4.
针对一类参数不确定时变时滞线性系统,研究了鲁棒最优Ｈ∞ 控制器的设计问题．首先利用积分不等式和引入自由权矩阵的方法,得到了系统稳定及Ｈ∞ 反馈控制器存在的充分条件;然后将其转化为线性矩阵不等式（ＬＭＩ）表示,通过线性矩阵不等式的可行解构造控制器,
保证了闭环系统渐近稳定且满足一定的Ｈ∞干扰抑制水平,得到的稳定化条件是依赖时滞大小且不要求时滞函数的导数信息,即适用于时滞快速变化的系统．算例表明了该方法的可行性． 相似文献
5.
王博辉 《南京气象学院学报》2020,12(3):289-297
针对空间异构环境下易产生非线性和不确定性影响,多个异构航天器进行姿态控制存在执行器输入饱和约束,对有限的资源进行协作调度难度大等问题,提出了异构航天器包含饱和输入和不确定性动态的鲁棒一致性追踪控制策略.在该控制策略中,参考系统的动态权重矩阵被允许是完全未知的,因此现有的方法并没有可行解.通过引入有向生成树假设,一种新的权重平均方法被提出来构造分布式观测器动态.通过综合分布式观测和非线性动态,一类新的鲁棒一致性追踪控制器被设计.仿真结果表明：当同步行为和分布式观测动态能够被同时获得并且达到领导者状态,异构系统的鲁棒一致性问题将被解决.同时,通过利用多个航天器的动态模型,设计了不同性能指标的参数条件,验证和分析了提出方法的有效性. 相似文献
6.
毛学荣 《南京气象学院学报》2017,9(3):246-261
本文对混杂随机时滞微分方程的当前发展及最新的研究成果进行了概述.主要回顾了混杂随机微分方程解的存在唯一性定理、稳定性、鲁棒有界性以及离散时间反馈镇定性等部分对混杂随机微分方程的研究起到关键推动作用的成果. 相似文献
7.
针对遥机器人系统中存在执行器退化、控制输入量化,且编、解码端的量化灵敏度参数不匹配的问题,设计了遥机器人系统的鲁棒量化反馈容错控制系统.控制器结构的线性部分由线性矩阵不等式给出,旨在解决系统指标性能问题,非线性部分则用于处理量化参数不匹配问题.经稳定性理论证明,提出的鲁棒量化反馈容错控制方法能消除执行器退化及量化参数不匹配等的影响,并确保从机器人能渐近跟踪主机器人.最后,算例仿真验证了方法的有效性. 相似文献
8.
主要研究一类具有不确定项和外部扰动的离散时滞系统的鲁棒自适应控制,假设扰动和不确定项是有界的,而扰动和关于状态的不确定项的边界是不必知道的.设计了自适应控制器以保证系统能在有限时间内到达切换面,并且收敛到包含原点的一定的有界区域内.仿真的结果说明了该方法的有效性. 相似文献
9.
《高原气象》2017,(4)
在集合卡尔曼滤波方法中,根据预报集合的统计特性提供的预报误差协方差矩阵对资料同化起决定性作用。但协方差矩阵低估会引起资料同化滤波发散问题。通过将集合转换卡尔曼滤波方法和时间局地化的H_∞滤波方法相结合,提出一种基于鲁棒集合滤波思想的资料同化方法,放大转移矩阵的特征值,改善估计效果。主要思路是在集合滤波的框架下,按照鲁棒滤波的最小最大准则,实现同化系统性能的改进。利用非线性Lorenz-96混沌系统,考察集合时间局地化的H_∞滤波在系统参数变化时,对同化系统鲁棒性的影响。结果表明:集合时间局地化的H_∞滤波对系统参数变化具有很好的鲁棒性;与传统的滤波方法相比,鲁棒滤波方法提高了同化的效果。 相似文献
10.
为了设计出全阶的滤波器,同时使得滤波误差动态系统是正则的、无脉冲的,并且满足一定的H∞性能指标,研究了连续奇异系统的全阶H∞滤波器的设计问题.利用Lyapunov-Krasovskii泛函及二次型的积分不等式方法获得了滤波误差动态系统的H∞性能时滞相关的判据,给出了奇异系统的鲁棒H∞滤波器存在的时滞依赖的充分条件.最后的数值例子说明了该方法的有效性. 相似文献
11.
Due to uncertainties in initial conditions and parameters,the stability and uncertainty of grassland ecosystem simulations using ecosystem models are issues of concern.Our objective is to determine the types and patterns of initial and parameter perturbations that yield the greatest instability and uncertainty in simulated grassland ecosystems using theoretical models.We used a nonlinear optimization approach,i.e.,a conditional nonlinear optimal perturbation related to initial and parameter perturbations (CNOP) approach,in our work.Numerical results indicated that the CNOP showed a special and nonlinear optimal pattern when the initial state variables and multiple parameters were considered simultaneously.A visibly different complex optimal pattern characterizing the CNOPs was obtained by choosing different combinations of initial state variables and multiple parameters in different physical processes.We propose that the grassland modeled ecosystem caused by the CNOP-type perturbation is unstable and exhibits two aspects:abrupt change and the time needed for the abrupt change from a grassland equilibrium state to a desert equilibrium state when the initial state variables and multiple parameters are considered simultaneously.We compared these findings with results affected by the CNOPs obtained by considering only uncertainties in initial state variables and in a single parameter.The numerical results imply that the nonlinear optimal pattern of initial perturbations and parameter perturbations,especially for more parameters or when special parameters are involved,plays a key role in determining stabilities and uncertainties associated with a simulated or predicted grassland ecosystem. 相似文献
12.
The stability question of large-scale horizontal motion in the atmosphere under the effect of Rossby parameter is discussed in this paper by using the qualitative analysis theory of ordinary differential equations. The following as-pects are reviewed: The stability of large-scale horizontal motion in the atmosphere accords with the common inertial stability criterion when the effect of Rossby parameter is not considered (Yang, 1983), and that, on the other hand, the motion will bifurcate two times with the variation of absolute vorticity of basic Zephyr flow at the initial position under the effect of Rossby parameter. Furthermore, in the inertial stable region, if the effect of geostrophic deviation at the initial position is considered, the motion will not only bifurcate but also generate a catastrophe. 相似文献
13.
The impact of nonlinear stability and instability on the validity of the tangent linear model 总被引：10，自引：0，他引：10
l.Intr0ducti0nTheequationsgoverningthemotionsoftheatmosphereandoceanaren0nlinear0nes.Itisdiffcultandcomplicatedtodealwiththenonlinearproblem.Sothetangentlinearmodel(TLM),whichisobtainedbylinearizingthenonlinearmodelinthevicinityofthebasicflow.iswidelyutilizedinthetheoreticalresearchandpracticalimplementationintheatmosphericandoceanicsciences.First-TLMcanbeusedtoestimatetheev0luti0nofsmallPerturbati0nsinaf0recastmodel.Second,itisadoptedinextendedKalmanfilterinthedataassimilation(Evensen,l99… 相似文献
14.
在现实生活中,很多复杂的系统不是由单个网络来表示,而是由一组相互依赖的网络系统来表示的.本文研究了具有随机扰动和混合时滞的两层异质网络的对应节点的同步控制问题.基于随机微分时滞方程的LaSalle不变原理和Lyapunov稳定性理论,采用牵制控制方法,对部分节点实施控制,给出了实现同步的充分条件.为了降低反馈控制的增益,结合自适应控制的方法,进一步弱化了两层异质网络实现同步的条件.最后,通过数值仿真,验证了理论结果的有效性. 相似文献
15.
Nonlinear permanent form solutions have been found for the barotropic, quasi-geostrophic divergenceless vorticity equation describing large scale, rotating flows over zonal relief. In the linear limit these solutions are topographic Rossby waves. The analytical procedure is an expansion in two small dimensionless parameters, an amplitude parameter (the Rossby number) and the aspect ratio between North-South (cross-relief) and East-West length scales. Permanent form solutions exist when these two parameters, and the related effects of dispersion and nonlinearity, mutually balance. By the same expansion procedure, an analytical linearized stability theory has been formulated which proves the neutral stability of these solutions to infinitesimal, two-dimensional perturbations. 相似文献
16.
The paper aims at finding an RCM configuration that facilitates studies devoted to quantifying RCM response to parameter modification. When using short integration times, the response of the time-averaged variables to RCM modification tend to be blurred by the noise originating in the lack of predictability of the instantaneous atmospheric states. Two ways of enhancing the signal-to-noise ratio are studied in this work: spectral nudging and reduction of the computational domain size. The approach followed consists in the analysis of the sensitivity of RCM-simulated seasonal averages to perturbations of two parameters controlling deep convection and stratiform condensation, perturbed one at a time. Sensitivity is analyzed within different simulation configurations obtained by varying domain size and using the spectral nudging option. For each combination of these factors multiple members of identical simulations that differ exclusively in initial conditions are also generated to provide robust estimates of the sensitivities (the signal) and sample the noise. Results show that the noise magnitude is decreased both by reduction of domain size and the spectral nudging. However, the reduction of domain size alters some sensitivity signals. When spectral nudging is used significant alterations of the signal are not found. 相似文献
17.
Luo Zhexian 《Acta Meteorologica Sinica》1996,10(1):13-21
By using the linearized barotropic vorticity equation in polar coordinates the stability of perturbations on a large scale circular basic flow is transformed into a generalized eigenvalue problem,yielding the relationship between the growth rate of the amplitude of perturbations and the azimuthal wave number. Then, numerical experiments whose integration time is 60 model hours are performed in terms of a quasi-geostrophic barotropic model in Cartesian coordinates using the perturbation stream function field of unstable mode superimposed on a strong and weak circular basic flows as the initial fields. The experimental results reveal that the amplitudes of the initial perturbations in the model atmosphere grow with time. The amplitude of the perturbations superimposedon the strong circular basic flow grows quicker and forms a spiral-band-like structure. 相似文献
18.
基于ARPS模式和随机物理过程参数化扰动（stochastically perturbed parameterization）方法,通过10个2018年6—7月间的降水个例,讨论了针对BMJ积云降水参数化方案下不同参数化扰动方式对降水预报的影响。扰动方式包括扰动BMJ方案的温湿倾向和扰动BMJ方案的温湿参考廓线。试验的结果表明BMJ方案在华东区域的降水预报中存在湿偏差,即预报的降水事件多于相应的观测事件。这一偏差在系统性增加参考廓线湿度后仍然存在。BMJ方案对不同扰动方式的响应存在较大差异。扰动BMJ方案的温湿倾向对降水预报的影响较小,且集合离散度低。扰动BMJ方案的温湿参考廓线对降水预报影响显著,能够大幅增加集合离散度,其中对称的BMJ参考廓线扰动对预报技巧评分改进有限,原因是小雨的湿偏差有所增加,而非对称的BMJ参考廓线扰动（扰动均值大于1.0）能够有效提高预报技巧评分并降低湿偏差。此外,非对称扰动大幅改善了BMJ降水预报初期（0～3 h）的空间分布形态,并且改进了夜间降水预报的强度。非对称扰动评分较高的原因是减少了原BMJ方案在降水预报初期的的大范围虚假预报,避免了大气湿度的大范围下降,保障了预报后期的强降水预报能力。而BMJ方案温湿倾向量级较小则是造成倾向扰动方法效果不明显的重要原因。 相似文献