基于局域共振声子晶体结构的低频振动能量回收研究

通过对局域共振型声子晶体的带隙机理及其对能量的局域化作用的分析,提出了一种用于回收环境低频振动能量的新型局域共振结构,并结合有限元方法对此新型结构的振动特性和能量回收能力进行了分析和研究.根据结构的共振模态和“质量-弹簧”系统简化模型,改变结构的材料和几何尺寸可以使结构的前7阶共振频率降到50-250 Hz的低频范围.在此基础上发展了一种低频宽带多核结构,在250 Hz以下拥有几十甚至更多的共振频率,最低频率低至20 Hz,进一步优化了结构的低频宽带共振特性.利用有限元软件对有限结构的频率响应和压电特性进行分析,证实了新型局域共振结构的对环境中低频振动能量的回收能力,并满足了环境振动能量回收的宽带要求.该结构可以应用于各种便携式设备、无线传感器和微机电等自供电系统中,从低频振动环境中的获取能量为自身供电.     

基于FPGA的高精度硅微谐振加速度计数据采集与参数补偿系统设计与实现

硅微谐振加速度计因具有小体积优势和高精度潜力,成为硅微惯性传感器研制的热点之一。频率信号的高精度采集和系统参数补偿是提高硅微谐振加速度计性能的重要手段之一。在分析硅微谐振加速度计工作机理的基础上,从双路差动频率信号的精确采集和系统误差参数补偿角度出发,分析了数据采集的原理,提出了一种高精度硅微谐振加速度计用数据采集与参数补偿方法。给出了设计思路和电路实现方法,讨论了误差来源与改进方法。所设计的数据采集系统针对中心频率18 k Hz.,标度因数400 Hz/g,量程±20g的加速度计,数据更新周期200 ms下频率分辨率为0.0005 Hz,等效加速度分辨率达到1.25μg。测试表明,补偿后的硅微谐振加速度计,在全温(-40~+70℃)内,K0温度系数从262μg/℃降低到29.9μg/℃,K1变化量从4.18%降低到2.04‰,全量程非线性从7.16‰降低到0.128‰,系统参数满足设计指标。     

Bayesian analysis of loss reserving using dynamic models with generalized beta distribution

A Bayesian approach is presented in order to model long tail loss reserving data using the generalized beta distribution of the second kind (GB2) with dynamic mean functions and mixture model representation. The proposed GB2 distribution provides a flexible probability density function, which nests various distributions with light and heavy tails, to facilitate accurate loss reserving in insurance applications. Extending the mean functions to include the state space and threshold models provides a dynamic approach to allow for irregular claims behaviors and legislative change which may occur during the claims settlement period. The mixture of GB2 distributions is proposed as a mean of modeling the unobserved heterogeneity which arises from the incidence of very large claims in the loss reserving data. It is shown through both simulation study and forecasting that model parameters are estimated with high accuracy.     

Positive Periodic Solution of a Periodic Cooperative Model with State Dependent Delays

By using the continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solution for the periodic cooperative system with state dependent delays where r i , a i , c i , i = 1, 2 are positive continuous y -periodic functions, b i , i = 1, 2 are nonnegative continuous y -periodic functions, and ij , i = 1, 2; j = 1, 2, 3 are nonnegative continuous functions and y -periodic with respect to their first argument.     

The Isoenergetic KAM-Type Theorem at Resonant Case for Nearly Integrable Hamiltonian Systems

In this paper, we study the persistence of resonant invariant tori on energy surfaces for nearly integrable Hamiltonian systems under the usual R$\ddot{u}$ssmann nondegenerate condition. By a quasilinear iterative scheme, we prove the following things: (1) The majority of resonant tori on a given energy surface will be persisted under R$\ddot{u}$ssmann nondegenerate condition. (2) The maximal number about the preserved frequency components on a perturbed torus is characterized by the smaller of the maximal rank of the Hessian matrices of the unperturbed system and the nondegeneracy of resonance. (3) If unperturbed systems admit subisoenergetic nondegeneracy on an energy surface, then the majority of the unperturbed resonant tori on the energy surface will be persisted and give rise to a family of perturbed tori with the same energy, whose frequency ratios among respective ''nondegenerate'' components are preserved.     

D-admissible hybrid control of a class of singular systems

This paper mainly studies the problem of designing a hybrid state feedback D-admissible controller for a class of linear and nonlinear singular systems. Based on the relationship between singular discrete systems and singular delta operator systems, several necessary and sufficient conditions for a linear singular delta operator system to be D-admissible (i.e. regular, causal and all finite poles lie in a prescribed circular region) with different representations are derived. Then, the existence conditions and explicit expressions of a desirable D-admissible controller are given by means of matrix inequalities and strict linear matrix inequalities, respectively. We further extend the obtained results to singular delta operator systems with Lipschitz nonlinear perturbations, and the design methods of hybrid controller are presented for the nonlinear case as well. Finally, numerical examples as well as simulations are provided to illustrate the effectiveness of the theoretical outcomes obtained in the paper.     

Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips

The paper studies a codimension-4 resonant homoclinic bifurcation with one orbit flip and two inclination flips, where the resonance takes place in the tangent direction of homoclinic orbit.Local active coordinate system is introduced to construct the Poincar′e returning map, and also the associated successor functions. We prove the existence of the saddle-node bifurcation, the perioddoubling bifurcation and the homoclinic-doubling bifurcation, and also locate the corresponding 1-periodic orbit, 1-homoclinic orbit, double periodic orbits and some 2n-homoclinic orbits.     

A partially linearized sigma point filter for latent state estimation in nonlinear time series models

A new technique for the latent state estimation of a wide class of nonlinear time series models is proposed. In particular, we develop a partially linearized sigma point filter in which random samples of possible state values are generated at the prediction step using an exact moment-matching algorithm and then a linear programming based procedure is used in the update step of the state estimation. The effectiveness of the new filtering procedure is assessed via a simulation example that deals with a highly nonlinear, multivariate time series representing an interest rate process.     

Optimal control of semilinear parabolic systems with state constraint

The aim of this work is to obtain the existence of optimal solution and maximum principle for optimal control problem with pointwise type state constraint governed by semilinear parabolic systems with certain polynomial-like nonlinearity. Application to optimal control problems of the phase transition system is given.