电路模拟中非线性方程的周期波形响应

用范数估计方法对非线性高阶微分方程的周期边值问题进行了讨论,通过对非线性二阶微分方程周期边值问题的详细讨论,给出了系统函数对某些变量偏导数的某种范数小于1时,非线性二阶微分方程的波形松弛算法产生的迭代序列收敛到该方程的周期解.用类似的方法给出了非线性高阶微分方程的波形松弛算法产生的迭代序列收敛到该方程周期解的充分性条件.     

通用突变控制方法及其在潜艇中的应用

运用非线性动力学和突变理论,研究了高维系统建立具有理想特性突变的控制方法.引入冲失滤波器保证系统平衡点不变,并利用隐式判据、中心流形定理以及规范形法确定控制增益.以潜艇空间运动为例,阐述计算的全过程.该控制方法简便、快捷,可广泛应用到实际控制系统的设计中.     

四叔丁基萘酞菁氧钒非线性及光限幅特性

为提高酞菁化合物的非线性光学性能,以1,8-二氮杂双环[5.4.0]十一碳烯-7(DBU)为催化剂,采用液相法合成了四叔丁基萘酞菁氧钒((t-Bu)4NcVO)化合物.利用元素分析、红外光谱、核磁共振氢谱方法,验证了化合物的分子结构.应用调Q倍频ns/ps Nd∶YAG脉冲激光系统,在波长为532nm下,研究了化合物的非线性和光限幅特性.测得化合物的非线性折射率n2和三阶非线性极化率χ(3)分别为2.51×10-11esu和8.54×10-12esu,通过计算得到分子极化率γ’为3.7×10-29esu.在透过率69%时限幅阈值为1608mJ/cm2,箝位值为585mJ/cm2,有效激发态与基态吸收截面比为3.66.     

Simulation and optimization of SOFC-BCHP system

As the prime motor of dispersed energy system, the high-temperature solid oxide fuel cells (SOFC) are high efficient with large heat recovery. This study presents a simulation of SOFC building-based cooling, heat and power (BCHP) system, which can meet basic requirements in power and heating (cooling) of the designated customers. The peak power load can be met by power grid, while the peak heating (cooling) load requirement can be met by backup equipments. In order to solve the economic dispatch problem of the energy system, a restricted nonlinear optimization model has been developed. The production costs can be minimized via both the equality constraints of customer’s heat and power demands, and other inequality constrains of equipments’ capacities. The sequential quadratic programming method has been used to search the solution. The study indicates that the model can be used to optimize the system’s capacities and run strategy. An office building case has been computed, and it is indicated that the model can be served in design and optimization of SOFC-BCHP system.     

HP nonlinear guidance law design based on smooth sliding mode control

To eliminate the perturbation of interceptor detection induced by aerodynamic heating,the head pursuit (HP) guidance law for three-dimensional interception was presented. The guidance law positioned the interceptor ahead of the target on its flight trajectory,and the speed of interceptor was required to be lower than that of the target. On the basis of a novel head pursuit three-dimensional guidance model,a nonlinear guidance law was developed based on smooth sliding mode control theory. At the same time,a special observer was designed to estimate the target acceleration,and a numerical example on maneuvering ballistic target interception verified the effectiveness of the presented guidance law.     

专家介绍

惠静教授,博士,2004年7月毕业于中国科学院数学与系统科学研究院,获理学博士学位,专业为非线性动力系统;2004年9月至2006年9月在华东师范大学数学系博士后流动站进行研究;     

基于扰动力矩观测器的电子节气门控制

通过介绍汽车电子节气门控制系统的工作原理及其组成,以及对系统的非线性因素分析,建立其数学模型,设计出数字PID控制器和扰动力矩补偿器,并在matlab/simulink中进行了仿真,对仿真结果分析得出:基于数字PID控制器的控制精度较差,并且容易产生超调;基于扰动力矩观测器的PID控制器具有较好的跟踪性,可以较好地满足控制要求.     

全非线性深水波的Green-Naghdi理论研究

全非线性深水波的数值模拟对于深海工程有着重要意义.应用二维深水G-N理论的控制方程,得到深水LevelⅢ G-N理论和Level Ⅳ G-N理论的线性解析解.采用深水Level Ⅲ和Level Ⅳ G-N理论对单色波进行数值模拟.提出适用于G-N理论的非线性造波边界条件,使用线性造波边界条件的结果与使用非线性边界条件的结果基本一致,因此可以使用线性造波边界叠加的方法来模拟不规则波.采用深水LevelⅢG-N理论模拟全非线性双色波和不规则波,并与线性解析解进行比较,结果表明使用深水LevelⅢG-N理论并配合线性造波边界条件来模拟全非线性深水不规则波是可行的.     

液相性质对泡沫流变特性的影响

采用同轴圆筒旋转粘度计，测定了泡沫流体的剪应力和剪切速率，并用回归分析方法求得流变特性参数。结果表明，泡沫流体本构方程可用Herschel-Bulckley模型表示。泡沫气含率和液相非牛顿特性对流变特性参数影响明显。     

Construction of highly nonlinear resilient Boolean functions satisfying strict avalanche criterion

Boolean functions with high nonlinearity, high resiliency and strict avalanche criterion （SAC） play an important role in the designs of conventional cryptographic systems. In this paper, a method is proposed to construct resilient Boolean functions on n variables （n even） satisfying SAC with nonlinearity 〉 2n-1 -2n/2. A large class of cryptographic Boolean functions that were not known earlier were obtained.