Switching adaptive controllers to control fractional‐order complex systems with unknown structure and input nonlinearities

This article investigates the chaos control problem for the fractional‐order chaotic systems containing unknown structure and input nonlinearities. Two types of nonlinearity in the control input are considered. In the first case, a general continuous nonlinearity input is supposed in the controller, and in the second case, the unknown dead‐zone input is included. In each case, a proper switching adaptive controller is introduced to stabilize the fractional‐order chaotic system in the presence of unknown parameters and uncertainties. The control methods are designed based on the boundedness property of the chaotic system's states, where, in the proposed methods the nonlinear/linear dynamic terms of the fractional‐order chaotic systems are assumed to be fully unknown. The analytical results of the mentioned techniques are proved by the stability analysis theorem of fractional‐order systems and the adaptive control method. In addition, as an application of the proposed methods, single input adaptive controllers are adopted for control of a class of three‐dimensional nonlinear fractional‐order chaotic systems. And finally, some numerical examples illustrate the correctness of the analytical results. © 2014 Wiley Periodicals, Inc. Complexity 21: 211–223, 2015     

Recent Developments on Five-Component Reactions

Multicomponent reactions (MCRs) have inherent advantages in pot, atom, and step economy (PASE). This important green synthetic approach has gained increasing attention due to high efficiency, minimal waste, saving resources, and straightforward procedures. Presented in this review article are the recent development on 5-compoment reactions (5CRs) of the following six types: (I) five different molecules A + B + C + D + E; pseudo-5CRs including (II) 2A + B + C + D, (III) 2A + 2B + C, (IV) 3A + B + C, (V) 3A + 2B, and (VI) 4A + B. 5CRs with more than five-reaction centers are also included.     

轨道对称性匹配:MXene基体上的单原子催化以实现优异的氮还原反应

氨作为一种可被植物直接吸收用以合成其他有机物的重要成分,在化学化工及含氮化合物的生产当中起着至关重要的作用.传统工业生产氨气采用Haber-Bosch工艺,将空气中丰富的氮气转化为氨气,但该工艺需要较高的压强和温度来促进氮气分解,因此会消耗大量能源.近年来,电催化反应发展迅速.在电催化工艺中,通过控制操作电位及电解质便可提高生产效率,降低能源消耗.基于这种策略,各种针对能源环境的催化研究应运而生,如二氧化碳还原、水分解反应等.其中,对于氮还原的催化研究尤其是电催化设计领域研究相对较少.研究发现,在电催化剂中,异构掺杂及原子尺度的调控可以极大地影响催化剂的催化活性.其中,单原子催化(SAC)因其在催化活性和催化选择性上的优势受到广泛关注.MXene是一种二维过渡金属碳化物或氮化物,其优异的化学性能和稳定的表面构型可以对单原子起到良好的锚定与支撑作用,是一种更具潜力的单原子催化基体.本文基于上述思想,利用密度泛函第一性原理等模拟软件,设计并研究了以MXene为基体的28种过渡金属单原子催化体系,计算并分析了各SAC@MXene体系对氮还原反应的催化效果,从限制电势、催化路径、反应机制等方面探索了其催化性能.并对体系进行了态密度、晶体轨道哈密顿量、差分电荷密度等电子结构分析,找到了适用于MXene体系的单原子催化设计原则.通过对限制电势的计算表明,Ni@MXene和Co@MXene体系具有很低的限制电势(-0.13和-0.17 V),说明这些体系在较低的启动电压下即可发生氮还原反应.研究发现了一种新型适用于SAC@MXene氮催化体系的酶促-远端反应机制.电子结构分析得到SAC原子与MXene基体的Ti原子在催化过程中存在一种协同作用.态密度及晶体轨道哈密顿量也显示出SAC原子与MXene基体Ti之间的一种轨道对称性匹配关系,揭示了这种协同作用对催化反应的积极作用.计算的氢析出反应(HER)结果也显示,在相同化学环境下,SAC@MXene体系氮还原反应相对于氢析出反应更易发生.     

基于自适应模糊控制的节能装置研究

针对凹版印刷干燥设备,设计节能装置,该装置利用压缩机换热原理,对余热进行再循环利用。设计自适应模糊PID节能控制系统,完成对压缩机,调功器,变频器的实时控制。利用组态软件完成系统界面设计,人机交互简洁,操作方便。控制算法采用自适应模糊PID控制,依靠数据信息来调整模糊逻辑系统的参数,通过在线计算得到最佳控制器参数,抑制不确定性对系统的影响。将节能装置应用到凹版印刷机,实验数据显示,系统耗能减少,效率得到提高,达到节能目的,证明了节能系统的有效性,具有较强的应用价值。     

二冷配水优化建模与混合自适应PSO算法求解

针对连铸二冷区生产环境复杂且存在着大量水雾干扰的情况,建立了连铸水量优化模型并提出了一种混合的自适应粒子群算法来求解连铸二冷水优化问题。依据冶金过程中的工艺要求建立了二冷水量优化模型,并在经典的PSO算法基础上提出了适合该问题求解了混合自适应PSO算法。由于连铸过程存在着偏微分方程约束,传统的优化方法容易陷入局部最优解,不能达到很好的动态优化效果。研究了粒子群算法,基于种群的多样性,不断的自适应的更新粒子群算法中参数,将禁忌搜索的方法和传统的粒子群算法结合,增强了算法的局部搜索能力和全局寻找全局最优的能力。将该算法应用到连铸二冷水动态优化中,实验结果表面该算法能够快速有效的求解该优化问题。该方法用于连铸二冷水优化是可行的、有效的。     

A posterior error estimates for the nonlinear grating problem with transparent boundary condition

The nonlinear grating problem is modeled by Maxwell's equations with transparent boundary conditions. The nonlocal boundary operators are truncated by taking sufficiently many terms in the corresponding expansions. A finite element method with the truncation operators is developed for solving the nonlinear grating problem. The two posterior error estimates are established. The a posterior error estimate consists of two parts: finite element discretization error and the truncation error of the nonlocal boundary operators. In particular, the truncation error caused by truncation operations is exponentially decayed when the parameter N is increased. Numerical experiment is included to illustrate the efficiency of the method. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1101–1118, 2015     

Effect of pH value on the growth morphology of KH2PO4 crystal grown in defined crystallographic direction

KH₂PO₄ single crystals were grown in aqueous solution at different pH values by using “point seeds” with a defined crystallographic direction at 59 degree to the Z axis. Atomic Force Microscope (AFM) was applied to observe the surface morphology of (100) face. It was found that at the same supersaturation, the larger steps appeared at the lower pH value before appearance of 2D nucleus. We found that 2D nucleus was occurred at σ ≤ 0.04 when pH value is <2.8. The occurrence of 2D nucleus was caused by the decreasing step‐edge free energy with the decreasing of pH value in the growth solution. In this paper, we observed the morphologies of (100) faces of KDP crystals which grew in solutions with different pH values. 2D nucleuses appeared on the terrace of growth steps when pH value down to 2.8 and 3.2 at supersaturation of 0.04, while pH value down to 2.4, only 2D nucleation control the growth. Therefore, the pH value can change the growth mechanism of KDP crystals.     

Accurate prediction of relative binding affinities of a series of HIV-1 protease inhibitors using semi-empirical quantum mechanical charge

A major challenge in computer-aided drug design is the accurate estimation of ligand binding affinity. Here, a new approach that combines the adaptive steered molecular dynamics (ASMD) and partial atomic charges calculated by semi-empirical quantum mechanics (SQMPC), namely ASMD-SQMPC, is suggested to predict the ligand binding affinities, with 24 HIV-1 protease inhibitors as testing examples. In the ASMD-SQMPC, the relative binding free energy (ΔG) is reflected by the average maximum potential of mean force (<PMF>_max) between bound and unbound states. The correlation coefficient (R²) between the <PMF>_max and experimentally determined ΔG is 0.86, showing a significant improvement compared with the conventional ASMD (R² = 0.52). Therefore, this study provides an efficient approach to predict the relative ΔG and reveals the significance of precise partial atomic charges in the theoretical simulations.     

Moving boundary truncated grid method: Multidimensional quantum dynamics

The moving boundary truncated grid (TG) method is used to study wave packet dynamics of multidimensional quantum systems. As time evolves, appropriate Eulerian grid points required for propagating a wave packet are activated and deactivated with no advance information about the dynamics. This method is applied to the Henon-Heiles potential and wave packet barrier scattering in two, three, and four dimensions. Computational results demonstrate that the TG method not only leads to a great reduction in the number of grid points needed to perform accurate calculations but also is computationally more efficient than the full grid calculations.     

简便的两步直接固相反应法制备N、Se共掺杂碳限域的NiSe纳米晶及其储钠性能

通过简便的两步直接固相反应,即在室温下的固相自组装反应制备Ni席夫碱配合物前驱体,然后通过高温固相热解碳化和硒化反应,原位制备了N,Se共掺杂碳限域的NiSe纳米晶复合物。采用X射线衍射(XRD)、扫描电镜(SEM)、透射电镜(TEM)、X射线光电子能谱(XPS)和热重分析(TGA)等表征技术分别对其物相、形貌结构、组分和含量等进行分析,并通过循环伏安、恒电流充放电和电化学阻抗谱等方法测试其电化学储钠性能。研究结果表明,复合物中NiSe粒子的平均尺寸为100 nm,被均匀限域在N,Se共掺杂的碳基体中;得益于该结构的优势,复合物作为钠离子电池负极材料时,在0.1 A·g~(-1)的电流密度下充放电循环100次后仍保持291 mAh·g~(-1)的可逆充电比容量,保持了首圈充电比容量的88%。同时,在5 A·g~(-1)的电流密度下,可逆充电比容量为197 mAh·g~(-1)。