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研究一类多时滞非线性大系统的鲁棒镇定问题。利用大系统的分解法将多时滞非线性大系统分解后,首先讨论了无时间滞后情形关联子系统指数镇定的条件，然后考虑多时滞情形，最终给出了多时滞非线性大系统的指数镇定的充分条件；给出了区间长度范围的计算公式和时间滞后的估计公式；通过对比看出。对参数选取加权的方法是有意义的。 相似文献
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研究了一类线性关联滞后广义大系统的变结构控制综合问题.首先根据系统的结构和控制输入的特定形式,引入了1种新的受限系统等价分解形式,把每个子系统分解成2个低维的动态子系统：1个是不带控制项的线性关联微分差分系统,另1个是带有控制项的线性关联差分系统.然后设计了带有积分动态补偿器的切换函数, 给出了滑动模渐近稳定的充分条件.最后设计了可以保证系统的解的轨迹到达切换流形的多层分散变结构控制.这种控制对物理上分散等类型的线性关联滞后广义系统是合理的有效的. 相似文献
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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
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详细地论述了时间滞后变结构控制系统的有关概念、特点和研究历史,研究历史从初级阶段、中级阶段、高级阶段、崭新阶段进行了描述;总结了到目前为止对该系统的若干研究进展;指出了有关时间滞后变结构控制系统的几个新的研究方向。 相似文献
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在南海北部,与中尺度涡相关的季节内变异特征十分显著,通过比较不同时期流场的季节内变异特征,有助于揭示不同动力不稳定中尺度涡对季节内活动的影响。本文以南海北部2009年春季和2020年春季为例,分析了两个时期中尺度涡的动力不稳定性,从而探究季节内变异特征。基于潜标实测流速数据,本文进行了动能谱分析,结果显示这两个时期的流场季节内变异具有相似特征,显著周期分别为10～60 d和30～90 d。季节内信号主要出现在200 m以上的上表层水域,其中30～90 d的季节内流是对应观测期间的主要季节内成分。滞后回归分析和动力不稳定性的计算表明,2009年春季的季节内变异受移动快但强度弱的表层中尺度涡影响,动力不稳定性由斜压不稳定和正压不稳定共同调制;而2020年春季的季节内变异是受强斜压性的中尺度涡影响,通过流速垂向切变增强,从而较快地触发流场季节内变异的发生。本文研究结果有助于深入了解中尺度涡对南海北部季节内活动的影响机制,为海洋动力学和气候研究提供了重要的参考和理论基础。 相似文献
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研究状态变量及控制变量均带滞后的一阶线性系统的预测镇定问题。通过按无滞后系统设计控制规律,预测物理上不可实现的超前状态变量的方法,得到了预测镇定控制规律。该控制规律可保证闭环系统的无穷个极点都位于根平面上希望极点的左边。 相似文献
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滨海休闲旅游资源作为一类具有海洋属性的公共资源,其价值评估具有多样性和复杂性,需要一个全面系统的价值评估方法体系才能实现对其价值的科学评估。由于滨海休闲旅游资源所处的海岸带生态系统的脆弱性和不稳定性,造成滨海休闲旅游资源开发的风险性大为增加,使得滨海休闲旅游资源的管理不仅要实现资源价值最大化,也要使风险最小化,这就对滨海休闲旅游资源的开发管理提出了挑战。采取预防性管理措施,建立系统的滨海休闲旅游资源价值评估体系,理顺资源的产权关系,通过资源价值评估过程来推动滨海休闲旅游资源价值管理准市场机制的建立,最终建立滨海休闲旅游资源账户体系。 相似文献
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应用Lyapunov等价法讨论了多滞后中立型非线性定常控制系统与不带滞后的线性定常控制系统的镇定问题.应用Lyapunov稳定性理论与Krosovskii最大最小特征值定理,得到了多滞后中立型非线性定常控制系统渐近稳定的结论,该结论是对前人结果的进一步扩展,并在非线性项的限制下给出了时滞的界限.最后,将上述结论推广到了多滞后中立型非线性时变控制系统. 相似文献
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传统的滞后-超前补偿器由1对实零点和1对实极点组成,校正效果往往不理想。本文先设计了1种由2对实零点和2对实极点组成的双重滞后-超前补偿器,随后在双重滞后-超前补偿器的基础上又设计了1种由2对共轭零点和2对共轭极点组成的复滞后-超前补偿器。同时给出了这3种补偿器模型之间的关系以及零极点之间的关系。理论研究及实际应用均表明本文设计的这2种补偿器较传统的补偿器在提高系统稳定性,增强系统抗干扰能力等方面有着各自的优势,而后者可以为模型设计提供更高的自由度。 相似文献
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地形斜坡对东海黑潮陆架坡折锋稳定性影响研究 总被引：1，自引：1，他引：0
为了研究地形斜坡对东海黑潮陆架坡折锋稳定性的影响,利用简化的线性原始方程,在一定背景流的情况下,主要从增长率、相速度、空间结构和能量方面分析海底地形斜坡变化对坡折锋稳定性的影响。模式结果表明,平底地形时,扰动的强度大且扰动区域广,但有地形斜坡时,扰动区域变窄,强度变弱,地形对坡折锋起稳定性作用。通过能量分析得出东海黑潮陆架坡折锋是正压和斜压的混合不稳定,其中斜压不稳定占主导地位。实验分析得出,地形对东海黑潮陆架坡折锋起稳定作用,斜坡增大,斜压不稳定和正压不稳定均减弱,斜压不稳定减弱更明显。 相似文献
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In the present study, a methodology for reliability assessment of slack and taut mooring systems against instability has been presented. For this purpose, first, stability analysis of slack and taut mooring systems has been carried out and instable regions are obtained using procedure available in the literature. Having known the instable region(s), methodology for reliability assessment has been proposed which is based on Monte Carlo Simulation technique. After using the proposed methodology, probabilities of failure and reliability indices has been obtained for the above systems. Some parametric studies, such as, effect of lower and upper limits of instability and effect of frequency range of generations are also included to obtain the results of practical interest. 相似文献
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采用海洋再分析结果,研究了海洋涡旋和锋面波动对台湾以东黑潮锋的影响,结果表明,Rossby波第一斜压模态形成的冷涡(暖涡),减弱(增强)台湾以东黑潮温度锋强度,减小(加大)锋的宽度.在再分析结果中,捕获到1991年1-2月台湾以东的一次黑潮锋面波动.锋面波动的波槽(波脊)到达时,该温度锋强度减弱(增强),宽度和厚度减小... 相似文献
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In this study, we investigate modulational instability in the presence of wind flow in a situation where sea states crossed over water with a finite depth. It is assumed that the wind flows in a specific direction to produce angles with two directions of propagation by two wave systems with the same carrier wave number and same frequency. The evolution equations considered in this study represent a balance among the effects of wind forcing, dispersion, and nonlinearity at the lowest order. These evolution equations are used to study the stability of the uniform wave solution in crossing seas. We show that in the presence of wind flow, the uniform waves grow super-exponentially. We also demonstrate that the region of asymptotic instability in the perturbed wave number plane is larger than that in the absence of wind flow. 相似文献
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The evolution of beaches in response to the incident wave conditions has long attracted the attention of researchers and engineers. A popular mathematical model describing the change in the position of a single height contour on the coastline assumes that the beach profile is stable and the plan shape evolves due to wave-driven long-shore transport. Extensions of this model include more contours and allow for beach profile alteration through cross-shore transport of sediment. Despite this advantage, models with multiple contours remain relatively underused. In this paper we examine the stability of this class of model for the cases of one to three contours. Unstable modes may exist when there is more than one contour. These include short waves whose growth rate is strongly dependent upon wavenumber. For the case of three contours an additional long wave instability is possible. A necessary, but not sufficient, condition for instability is found. It requires a reversal of transport direction amongst the contours. The existence of these instabilities provides a possible explanation for the difficulties found in implementing computational multi-line models, particularly where structures alter the natural longshore transport rates so they satisfy, locally, the condition for instability. 相似文献
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Cascading of cold Antarctic shelf water (ASW) initiates compensatory isopycnic upwelling of the warm Circumpolar Deep Water (CDW). The baroclinic/thermoclinic Antarctic slope front (ASF) is formed, and a mesoscale intrusive structure develops on the shelf edge and slope. Mesoscale processes when the ASF peaks are periodically accompanied by local baroclinic instability, which forms a smaller-scale intrusive structure. Therefore, the ASF is naturally subdivided into two layers according to the intrusion scales (vertical δН and horizontal L) and the horizontal parameters of the front (thermoclinity (TL)ρ and baroclinity γρ). Analysis of ASF intrusive layering due to the baroclinic factor supports the following conclusion: the higher the (TL)ρ of the ASF, the greater the intrusion intensity |δθ| (temperature anomaly amplitude), while an increase in γρ of the ASF leads to a decrease in intrusion scales δН and L. Frontal intrusions can be distinguished by a development degree. Regardless of the degree of development, all warm intrusions are characterized by vertical density stratification, while cold intrusions are characterized by density quasihomogeneity. According to field data, the ASF instability process is subdivided into four stages. When theASF is baroclinically unstable, the local baroclinic deformation radius RdL of the front is close in magnitude to the horizontal scale L of the intrusions that form, and their characteristic vertical scale δH is close to the typical vertical scale of front instability. 相似文献
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The satellite altimeter data reveal that intraseasonal long Rossby wave is amplified in the western part of subtropical ocean. Based on a two and half layer ocean model we infer that the intraseasonal long Rossby wave may be amplified by the baroclinic instability. According to the baroclinic instability criterion derived from the two and half layer model, we calculate the baroclinic instability area of the Subtropical North Pacific Ocean based on Levitus98 data. The baroclinic instability area is well in accord with the amplification area of the intraseasonal long Rossby wave, and this also proves that the baroclinic instability is the main amplification mechanism of the intraseasonal long Rossby wave in the subtropical ocean. The consistency between the baroclinic instability area and potential vorticity (PV) pool is further proved in this paper, therefore, we have confidence that the intraseasonal long Rossby wave is amplified in the PV pool. Due to the relatively large ocean basin and weak ventilation, the PV pool is much larger in the North Pacific Ocean than in the North Atlantic Ocean, and this is the reason for the difference of wave amplification areas of these two Oceans. 相似文献
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The nonlinear dynamic analysis of a multipoint slack moored buoy is performed under the action of first and second order wave forces. The nonlinearity of the system is caused by the geometric nonlinearity of the mooring lines. The resulting nonlinear equation of motion is solved by an incremental time marching scheme. The nonlinear responses of the system are analysed to investigate different kinds of dynamic instability phenomena that may arise due to the nonlinearity of the system. As an illustrative example, a hollow cylindrical buoy anchored to the sea bed by means of six slack mooring lines is considered. The responses of the system are obtained and analysed for three regular waves namely, 5 m/5 s, 12 m/10 s and 18 m/15 s. The results of the study show that different kinds of instability phenomena like nT subharmonic oscillations, symmetry breaking bifurcation and aperiodic responses may occur in slack mooring systems. Further, a second order wave force may considerably influence the dynamic stability of such systems. 相似文献
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A numerical study of the decay of an alongshore baroclinic jet (ABJ) formed by transient wind stress favorable for upwelling and downwelling is carried out. The study is based on the Princeton Ocean Model (POM) applied to a circular stratified basin with a constant depth. In the case of a fully developed upwelling (downwelling), the alongshore jet is subjected to baroclinic instability, and its decay is predominantly accompanied by selective formation of cyclonic (anticyclonic) mesoscale eddies. If the upwelling or downwelling is not fully developed, the necessary condition for the baroclinic instability of the ABJ in a basin with a constant depth is the presence of the β-effect. The β-effect causes separation of the ABJ from the shoreline in the eastern part of the basin and thereby stimulates baroclinic instability. As a result, mesoscale meanders and eddies can be generated in the eastern part of the basin only if the diameter of the basin D is large enough to satisfy the inequality D > $\sqrt {{{R_I f} \mathord{\left/ {\vphantom {{R_I f} \beta }} \right. \kern-0em} \beta }} $ , where R I is the baroclinic Rossby radius, f is the Coriolis parameter, and β = df/dy. 相似文献