Controller design for nonlinear systems using the Contoured Robust Controller Bode plot

In this paper, we develop the Contoured Robust Controller Bode (CRCBode) plot and demonstrate its use in the design of robust controllers for nonlinear single‐input single‐output (SISO) systems. The CRCBode plot shows contours (level sets) of a robust performance quantity on the Bode magnitude and phase plots of the controller. An iterative frequency domain loop‐shaping design approach is employed to eliminate all intersections of the controller frequency response with certain ‘forbidden regions,’ indicating that a standard SISO robust stability and performance criterion is satisfied. Nonlinearities are accounted for by avoiding the maximum forbidden regions over a structured uncertainty set consisting of linearizations of the system dynamics about several operating points. We demonstrate this technique by designing and experimentally verifying a flow‐rate controller for a butterfly‐valve based liquid cooling system, which is robust to valve nonlinearities and flow disturbances. Finally, we compare this compensator with one generated using an automated H _∞ synthesis algorithm and discuss the advantages of the CRCBode approach. Copyright © 2013 John Wiley & Sons, Ltd.     

Fundamental Optical Absorption Edge of Sputter-Deposited Zirconia and Yttria

Zirconia and yttria films were sputter deposited onto unheated fused silica substrates using a metal target and rare gas-oxygen discharges. Double-beam spectrophotometry was used to measure the transmission and reflection as a function of incident photon energy, E , from which the absorption coefficient, α( E ), was calculated. An indirect interband transition at E _i= 4.70 eV and two direct interband transitions at E _g1= 5.17 eV and E _g2= 5.93 eV occur in monoclinic zirconia. Two direct interband transitions at E _g1= 5.07 eV and E _g2= 5.73 eV occur in cubic yttria. The absorption edge structure is modified when unusual phases, such as tetragonal zirconia, and zirconia and yttria with no longrange crystallographic order, are present.     

Synthesis and properties of an alkoxysilane dye containing three electronic donor groups for nonlinear optical applications

In order to obtain an efficient hybrid inorganic–organic nonlinear optical (NLO) materials, an azo-dye containing three electronic donor groups 2,5-dimethyl-4-(4′-nitrophenylazo)phenol (DMNPAP) was synthesized and reacted with 3-isocyanatopropyl triethoxysilane (ICTES) to give an alkoxysilane dye (ICTES–DMNPAP). Molecular structural characterizations for DMNPAP and ICTES–DMNPAP were investigated by elemental analysis, ¹H NMR, FTIR, UV–visible spectra and differential scanning calorimetry (DSC). The alkoxysilane dye could be hydrolyzed and polymerized in the presence of water, and then transparent hybrid films could be fabricated by spin coating on the indium–tin-oxide (ITO) glass substrates. Compared with the dye 4-nitro-4′-hydroxy-azobenzene (NHA) containing only one hydroxyl as donor group, DMNPAP exhibited larger β_CTμ_g value measured by solvatochromic method, and second harmonic generation (SHG) measurement of the hybrid films was in agreement with the result.     

PROBING HIDDEN POLYMERIC INTERFACES USINGIR-VISIBLE SUM-FREQUENCY GENERATION SPECTROSCOPY

Understanding the molecular-level processes underlying interfacial phenomena is important in the area of adhesion. We briefly introduce IR-visible sum-frequency generation spectroscopy (SFG) using a total-internal-reflection geometry for the study of polymer-air, polymer-solid, and polymer-polymer interfaces. The following examples, predominantly of work done in our lab, illustrating differences in molecular structure and dynamic properties at interfaces are presented: the air- and solid-interface structure of an amorphous polystyrene (PS) and a semicrystalline polymer with side-chain crystallinity, poly(octadecyl acrylate) (PA-18); structure of a polymer-polymer interface between thin films of a semicrystalline polymer with side-chain crystallinity, poly(vinyl-N-octadecylcarbamate- co-vinyl acetate), and an amorphous PS; thermal order-to-disorder transitions of the air and solid interface of PA-18, and the interface of this polymer with PS; and dynamic surface-relaxation studies of a rubbed PS film.     

一类非线性组合系统新的稳定性条件

研究组合大系统存在非线性扰动和不确定性时的稳定性问题。通过对微分方程解的结构研究,应用矩阵相似变换和矩阵指数的特性,将原非线性组合系统的稳定性问题转化为线性系统的稳定性问题。根据线性系统渐近稳定的充分条件,导出了原系统渐近稳定新的判定准则。最后运用数值实例说明了该方法的有效性和可行性。     

极C-invex条件下多目标非线性规划问题的对称对偶性

提出了一个多目标非线性规划的对称对偶性问题,并利用弱有效性和真有效性的概念,证明了在极C-invex条件下与规划问题相关的弱对偶定理、强对偶定理、逆对偶定理和自对偶定理.     

新型有机非线性光学材料的制备及性能研究

合成了一种新型含呋喃共轭桥的有机二阶非线性光学生色团分子,用IR、1H-NMR和元素分析表征了其结构。热失重分析(TGA)结果表明,化合物的热分解温度为272℃。利用溶致变色法对材料的超极化率μβ值进行了测量,在1 064 nm激光波长下,材料的μgβ值达24 898×10-48esu。将材料作为客体掺杂于聚砜(PSU)中,用旋涂成膜法制成薄膜,对薄膜进行电晕极化后用二次谐波法(SHG)测量其二阶非线性光学系数d33,在激光基频波长为1 064 nm时,测得d33=70 pm/V。     

石英晶体最大双折射率色散特性的椭偏测量

为了测量石英晶体最大双折射率的色散特性,在椭偏光谱仪的水平透射测量模式下,通过对确定厚度的石英波片相位延迟量的精确测量,计算出了石英晶体的最大双折射率值,并进行了误差分析。结果表明:这种方法光路简单、操作方便,屏蔽了光源的不稳定性;双折射率测量精度达到了10-6,比连续偏光干涉法的测量精度提高了1个数量级;实现了对石英晶体的最大双折射率色散特性的连续光谱测量;此方法对其它双折射晶体材料的双折射率色散特性的研究也同样适用。     

梁端翼缘扩大型梁柱节点抗震性能和设计方法

为使钢框架梁柱节点满足强柱弱梁的抗震设计原则,并使梁上塑性铰远离梁柱节点区,对梁端翼缘扩大型(包括侧板加强型和翼缘端部放大型)钢框架梁柱节点进行了往复荷载下的试验研究,得到了节点类型和梁端翼缘扩大尺寸对节点滞回性能、延性和耗能能力等指标的影响规律.在使用非线性有限元程序对试验结果进行数值模拟的基础上,研究了梁端翼缘扩大段的长度及宽度等参数对节点性能的影响规律和有效取值范围,给出了实用设计方法.使用梁端翼缘扩大型钢框架节点可以有效实现梁端塑性铰外移,是一种在抗震设计中值得推广的具有良好延性和塑性转动能力的新型节点形式.     

基于组合单元的圆钢管混凝土结构非线性分析

基于圆钢管混凝土组合截面轴力-应变关系和轴力一弯矩一曲率关系实用计算方法,采用U.L列式单元增量平衡方程,引入平面梁单元非线性分析方法,建立了钢管混凝土结构组合单元法非线性有限元分析理论.编制了相应的非线性有限元程序,对已有钢管混凝土结构的面内受力,如钢管混凝土偏压柱、不等端弯矩钢管混凝土偏压柱、钢管混凝土压弯构件和钢管混凝土模型拱肋等进行双重非线性有限元分析,与基于钢管混凝土拉压数值本构模型的分层梁单元非线性分析理论比较.结果表明,两种分析方法的载荷一变形曲线和极限承载力都很接近试验结果,与分层法相比,组合单元法直接根据杆端力求解截面刚度,不用分层计算截面刚度,加快了计算速度.