Dynamic output feedback control of a flexible air-breathing hypersonic vehicle via T–S fuzzy approach

By utilising Takagi–Sugeno (T–S) fuzzy set approach, this paper addresses the robust H_∞ dynamic output feedback control for the non-linear longitudinal model of flexible air-breathing hypersonic vehicles (FAHVs). The flight control of FAHVs is highly challenging due to the unique dynamic characteristics, and the intricate couplings between the engine and fight dynamics and external disturbance. Because of the dynamics’ enormous complexity, currently, only the longitudinal dynamics models of FAHVs have been used for controller design. In this work, T–S fuzzy modelling technique is utilised to approach the non-linear dynamics of FAHVs, then a fuzzy model is developed for the output tracking problem of FAHVs. The fuzzy model contains parameter uncertainties and disturbance, which can approach the non-linear dynamics of FAHVs more exactly. The flexible models of FAHVs are difficult to measure because of the complex dynamics and the strong couplings, thus a full-order dynamic output feedback controller is designed for the fuzzy model. A robust H_∞ controller is designed for the obtained closed-loop system. By utilising the Lyapunov functional approach, sufficient solvability conditions for such controllers are established in terms of linear matrix inequalities. Finally, the effectiveness of the proposed T–S fuzzy dynamic output feedback control method is demonstrated by numerical simulations.     

Feedback nonlinear discrete-time systems

In this paper, we design an adaptive iterative learning control method for a class of high-order nonlinear output feedback discrete-time systems with random initial conditions and iteration-varying desired trajectories. An n-step ahead predictor approach is employed to estimate future outputs. The discrete Nussbaum gain method is incorporated into the control design to deal with unknown control directions. The proposed control algorithm ensures that the tracking error converges to zero asymptotically along the iterative learning axis except for the beginning outputs affected by random initial conditions. A numerical simulation is carried out to demonstrate the efficacy of the presented control laws.     

Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term

We study a semilinear mildly damped wave equation that contains the telegraph equation as a special case. We consider Neumann velocity boundary feedback and prove the exponential stability of the closed loop system. We show that for vanishing damping term in the partial differential equation, the decay rate of the system approaches the rate for the system governed by the wave equation without damping term. In particular, this implies that arbitrarily large decay rates can occur if the velocity damping in the partial differential equation is sufficiently small.     

UV photo‐stabilization of tetrabutyl titanate for aramid fibers via sol–gel surface modification

Tetrabutyl titanate was used as sol–gel precursor of a nanosized TiO₂ coating to improve the photo‐stability of aramid fibers. The nanosized TiO₂ coating was characterized by XRD and XPS. The influence of the TiO₂ coating on photo‐stability of aramid fibers was investigated by an accelerated photo‐ageing method. The photo‐stability of aramid fiber showed obvious improvement after coating. After 156 h of UV exposure, the coated fibers showed less deterioration in mechanical properties with the retained tensile strength and elongation at break greater than 36 and 50% of the original values, respectively, whereas the uncoated fibers degraded completely and became powdery. SEM analysis showed no significant surface morphological change on the coated fiber after the exposure, while some latitudinal crack fractures appeared on the uncoated aramid fiber. The effect of the nanosized TiO₂ coating was also well demonstrated by examining the difference of distributions of C1s in XPS deconvolution analysis on the surface of uncoated/coated fibers with increasing UV exposure time. © 2006 Wiley Periodicals, Inc. J Appl Polym Sci 103: 3113–3119, 2007     

Hydrolytic aging of polypropylene studied by X‐ray photoelectron spectroscopy

X‐ray photoelectron spectroscopy (XPS) was used to study the hydrolytic aging of polypropylene according to the pHs of degrading buffer solutions and the time of aging. The study was concentrated over periods of 3, 6, and 9 months for values of pH close to the real environments of use of the material (pH of 6, 7, and 8). The polypropylene underwent an oxidation of its polymeric matrix, independently of the range of pH values, by the production of C? OH, C?O, and O?C? O groups. These chemical functions were observed in high resolution XPS spectra around C1s and O1s peaks. Beginning with these results and from mechanisms of (photochemical, thermal, and others) aging proposed in the literature, it was then possible to propose mechanisms of hydrolytic ageing of polypropylene. © 2004 Wiley Periodicals, Inc. J Appl Polym Sci 92: 3830–3838, 2004     

移动平台三维花卉植物触摸反馈可视化模拟

虚拟现实领域中,人们对三维花卉植物可视化及交互感的需求越来越强烈,而触摸力度引起的植物受力形变过程又无法采用现有的植物运动形变方法进行模拟,因为现有方法造成了模拟失真,交互感差。根据植物整株交互需求或单一叶片受力情况,分析不同方式的运动反馈模拟方法,先判断受力情况,根据动力学原理模拟整株受力,根据触摸屏获取数据,结合叶脉骨架旋转模型算法计算出单一叶片因受力而发生的形变,不需手动输入参数,就能模拟不同力度触摸造成的叶片形变。本方法应用在移动平台后,真实感和帧速率情况良好,可视化和交互感大大提升,并可推广到同类结构的物体模拟。     

巯基吡啶氧化锌去屑洗发水稳定性的研究

以ZPT(巯基吡啶氧化锌)为去屑剂对洗发水进行稳定性的研究，筛选了几种稳定剂，对含ZPT洗发水的稳定性进行比较分析，提出了各种稳定剂在洗发水配制过程中应注意的问题。     

双足机器人稳定步行模式预测控制实现方法的研究

针对现有的预测控制生成步行模式方法中忽略了参数间关系和参数取值范围的问题进行探讨.预测控制通过控制质心运动生成步行模式以实现ZMP目标轨迹跟踪,根据预测控制器模型研究参数间的关系,并通过极点分析讨论其取值范围,提出关键参数在容许取值范围内,可以保证系统的稳定性,并生成满足稳定步行的质心运动.通过仿真实验分析了在存在扰动情况下,关键参数取适当值,能够生成稳定的步行模式.