This paper addresses the observer design problem for a class of nonlinear descriptor systems whose nonlinear terms are slope-restricted. The full-order observer is formulated as a nonlinear descriptor system. A linear...This paper addresses the observer design problem for a class of nonlinear descriptor systems whose nonlinear terms are slope-restricted. The full-order observer is formulated as a nonlinear descriptor system. A linear matrix inequality （LMI） condition is derived to construct the full-order observer. The existence and uniqueness of the solution to the obtained observer system are guaranteed. Furthermore, under the same LMI condition and a common assumption, a reduced-order observer is designed. Finally, the design methods are reduced to a strict LMI problem and illustrated by a numerical example.展开更多
In this paper, the characteristics of different forms of mild slope equations for non-linear wave are analyzed, and new non-linear theoretic models for wave propagation are presented, with non-linear terms added to th...In this paper, the characteristics of different forms of mild slope equations for non-linear wave are analyzed, and new non-linear theoretic models for wave propagation are presented, with non-linear terms added to the mild slope equations for non-stationary linear waves and dissipative effects considered. Numerical simulation models are developed of non-linear wave propagation for waters of mildly varying topography with complicated boundary, and the effects are studied of different non-linear corrections on calculation results of extended mild slope equations. Systematical numerical simulation tests show that the present models can effectively reflect non-linear effects.展开更多
A joint probability density function (PDF) for surface slopes in two arbitrary directions is derived on the basis of Longuet Higgins's linear model for three-dimensionol (3-D) random wave field. and the correlatio...A joint probability density function (PDF) for surface slopes in two arbitrary directions is derived on the basis of Longuet Higgins's linear model for three-dimensionol (3-D) random wave field. and the correlation moments of surface slopes. as parameters in the PDF, are expressed in terms of directional spectrum of ocean waves. So long as the directional spectrum model is given, these parameters are determined. Since the directional spectrum models proposed so far are mostly parameterized by the wind speed and fetch, this allows for substituting these parameters with thc wind speed and fetch. As an example, the wind speed and fetch are taken to be 14 m ' s and 200 km, and the Hasselmann and Donclan directional spectra are, respectively, use to compute these parameters. Some novel results a reobtained. One of the increasing interesting results is that the variances of surface slope in downwind and cross-wind directions determined by the Donclan directional spectra are close to those measured by Cox and Munk (1954). Some discussions are made on these results.展开更多
粮食生产服务与土壤保持服务的供给矛盾是制约怒江流域可持续发展的一大阻碍。以流域中心的施甸县为例,使用均方根偏差(Root Mean Square Error, RMSE)方法评估了2000—2020年粮食生产和土壤保持服务权衡强度的空间特征变化。然后将202...粮食生产服务与土壤保持服务的供给矛盾是制约怒江流域可持续发展的一大阻碍。以流域中心的施甸县为例,使用均方根偏差(Root Mean Square Error, RMSE)方法评估了2000—2020年粮食生产和土壤保持服务权衡强度的空间特征变化。然后将2020年作为基准年,以坡耕地生态恢复作为决策变量,使用多目标线性规划提取了高生态恢复优先的区域,进而识别了权衡强度与恢复潜力的空间分布异同。研究结果表明,(1)两项生态系统服务权衡的空间分异明显,研究期间权衡强度呈增加趋势,RMSE平均值由2000年的0.466增加至2020年的0.499;高权衡强度区域主要集中在研究区的低海拔坝区,而低权衡强度区域分布零散,且高/低权衡强度区域在空间上都表现出聚集的特征。(2)根据线性规划绘制的效率前沿曲线,在土壤保持服务收益达到13.35×10^(6)t hm^(-2)a^(-1)时需要转出3388.51hm^(2)坡耕地,同时粮食生产服务损失达9.59×10^(6)kg,而继续提升会显著增加成本。(3)各权衡强度等级坡耕地的生态恢复潜力为:中权衡>低权衡>高权衡,其中权衡强度在0.4—0.5区间的坡耕地最适宜进行生态恢复。这一研究结果可以为山地区域坡耕地利用模式提供参考,推进可持续发展目标的实现。展开更多
基金supported by National Basic Research Program of China (973 Program) (No. 2009CB320601)National Natural Science Foundation of China (No. 60904009)Fundamental Research Funds for the Central Universities (No. 100406010, No. 090408001)
文摘This paper addresses the observer design problem for a class of nonlinear descriptor systems whose nonlinear terms are slope-restricted. The full-order observer is formulated as a nonlinear descriptor system. A linear matrix inequality （LMI） condition is derived to construct the full-order observer. The existence and uniqueness of the solution to the obtained observer system are guaranteed. Furthermore, under the same LMI condition and a common assumption, a reduced-order observer is designed. Finally, the design methods are reduced to a strict LMI problem and illustrated by a numerical example.
文摘In this paper, the characteristics of different forms of mild slope equations for non-linear wave are analyzed, and new non-linear theoretic models for wave propagation are presented, with non-linear terms added to the mild slope equations for non-stationary linear waves and dissipative effects considered. Numerical simulation models are developed of non-linear wave propagation for waters of mildly varying topography with complicated boundary, and the effects are studied of different non-linear corrections on calculation results of extended mild slope equations. Systematical numerical simulation tests show that the present models can effectively reflect non-linear effects.
基金This work is financially supported by the National Natural Science Foundation of China(No.49676277)863-818 Project(05-02)
文摘A joint probability density function (PDF) for surface slopes in two arbitrary directions is derived on the basis of Longuet Higgins's linear model for three-dimensionol (3-D) random wave field. and the correlation moments of surface slopes. as parameters in the PDF, are expressed in terms of directional spectrum of ocean waves. So long as the directional spectrum model is given, these parameters are determined. Since the directional spectrum models proposed so far are mostly parameterized by the wind speed and fetch, this allows for substituting these parameters with thc wind speed and fetch. As an example, the wind speed and fetch are taken to be 14 m ' s and 200 km, and the Hasselmann and Donclan directional spectra are, respectively, use to compute these parameters. Some novel results a reobtained. One of the increasing interesting results is that the variances of surface slope in downwind and cross-wind directions determined by the Donclan directional spectra are close to those measured by Cox and Munk (1954). Some discussions are made on these results.
