精密转台系统非线性动态自适应控制器设计

提出了一种用于精密转台平滑鲁棒自适应控制器。通过基于σ改进方案的自适应律估计得到未知摩擦参数和非线性项的常值上界,并且利用一种平滑预测算法来改进用于估计不可测摩擦状态的双观测器。为了抑制不确定非线性项,加入了无抖振滑模控制项。通过Lyapunov方法证明了系统的位置跟踪误差是一致最终有界的。仿真研究表明了该控制方案的有效性。     

气体动压轴承-转子动力系统稳定性及分岔

基于非线性动力学理论, 研究了普通圆柱型径向气体动压轴承支承的转子动力系统的运动稳定性和分岔.建立了气体动压轴承-Jeffcott转子系统的力学模型, 并采用有限元方法逼近非定常气体雷诺方程, 得到任意时刻的气膜力;数值模拟该非线性动力系统的长期行为, 得到了轴颈中心的运动轨迹;并采用轨迹图、相图、分岔图以及功率谱等, 研究了系统的非线性行为以及不平衡响应的稳定性.研究结果表明:该方法对气体轴承中存在的气膜涡动问题能够给予合理的解释.      

复合材料层合锥壳非线性稳定性的有限元分析

本文根据稳定性分析的前屈曲完全理论和修正型的Ｈａｈｎ－Ｔｓａｉ非线性本构关系，采用有限元法分析了复合材料层合回转壳的非线性稳定性，讨论了屈曲产壳体法向与面内支承条件和复合材料的横向和剪切非线性性能对壳体结构总体稳定性的影响，为工程结构设计者们提供了一些有益的参考意见。     

Nonlinear Aeroelastic Response of High-aspect-ratio Flexible Wings

The aeroelastic analysis of high-altitude, long-endurance (HALE) aircraft that features high-aspect-ratio flexible wings needs take into account structural geometrical nonlinearities and dynamic stall. For a generic nonlinear aeroelastic system, besides the stability boundary, the characteristics of the limit-cycle oscillation (LCO) should also be accurately predicted. In order to conduct nonlinear aeroelastic analysis of high-aspect-ratio flexible wings, a first-order, state-space model is developed by combining a geometrically exact, nonlinear anisotropic beam model with nonlinear ONERA (Edlin) dynamic stall model. The present investigations focus on the initiation and sustaining mechanism of the LCO and the effects of flight speed and drag on aeroelastic behaviors. Numerical results indicate that structural geometrical nonlinearities could lead to the LCO without stall occurring. As flight speed increases, dynamic stall becomes dominant and the LCO increasingly complicated. Drag could be negligible for LCO type, but should be considered to exactly predict the onset speed of flutter or LCO of high-aspect-ratio flexible wings.     

Fuzzy robust nonlinear control approach for electro-hydraulic flight motion simulator

A fuzzy robust nonlinear controller for hydraulic rotary actuators in flight motion simulators is proposed. Compared with other three-order models of hydraulic rotary actuators, the proposed controller based on first-order nonlinear model is more easily applied in practice, whose control law is relatively simple. It not only does not need high-order derivative of desired command,but also does not require the feedback signals of velocity, acceleration and jerk of hydraulic rotary actuators. Another advantage is that it does not rely on any information of friction, inertia force and external disturbing force/torque, which are always difficult to resolve in flight motion simulators. Due to the special composite vane seals of rectangular cross-section and goalpost shape used in hydraulic rotary actuators, the leakage model is more complicated than that of traditional linear hydraulic cylinders. Adaptive multi-input single-output(MISO) fuzzy compensators are introduced to estimate nonlinear uncertain functions about leakage and bulk modulus. Meanwhile, the decomposition of the uncertainties is used to reduce the total number of fuzzy rules. Different from other adaptive fuzzy compensators, a discontinuous projection mapping is employed to guarantee the estimation process to be bounded. Furthermore, with a sufficient number of fuzzy rules, the controller theoretically can guarantee asymptotic tracking performance in the presence of the above uncertainties, which is very important for high-accuracy tracking control of flight motion simulators.Comparative experimental results demonstrate the effectiveness of the proposed algorithm, which can guarantee transient performance and better final accurate tracking in the presence of uncertain nonlinearities and parametric uncertainties.     

Constrained adaptive neural network control of an MIMO aeroelastic system with input nonlinearities

A constrained adaptive neural network control scheme is proposed for a multi-input and multi-output (MIMO) aeroelastic system in the presence of wind gust, system uncertainties, and input nonlinearities consisting of input saturation and dead-zone. In regard to the input nonlinear-ities, the right inverse function block of the dead-zone is added before the input nonlinearities, which simplifies the input nonlinearities into an equivalent input saturation. To deal with the equiv-alent input saturation, an auxiliary error system is designed to compensate for the impact of the input saturation. Meanwhile, uncertainties in pitch stiffness, plunge stiffness, and pitch damping are all considered, and radial basis function neural networks (RBFNNs) are applied to approximate the system uncertainties. In combination with the designed auxiliary error system and the backstep-ping control technique, a constrained adaptive neural network controller is designed, and it is pro-ven that all the signals in the closed-loop system are semi-globally uniformly bounded via the Lyapunov stability analysis method. Finally, extensive digital simulation results demonstrate the effectiveness of the proposed control scheme towards flutter suppression in spite of the integrated effects of wind gust, system uncertainties, and input nonlinearities.     

带有输入非线性的挠性航天器姿态机动变结构控制

针对挠性航天器反作用飞轮输入力矩受限情况下的姿态机动问题，提出了一种仅利用输出信息的变结构输出反馈控制方法。在基于非线性和低阶模态的动力学模型基础上，给出了滑模存在条件以及变结构输出反馈控制器设计的方法，并保证闭环系统渐近稳定；另外，为了避免确定不确定性和外干扰界函数上限的困难，又给出了一种自适应变结构输出反馈控制器的设计方法，并基于Lyapunov方法分析了滑动模态的存在性及稳定性。最后，将本文提出的两种控制方法应用于三轴稳定挠性航天器的姿态机动控制，并进行数值仿真研究。仿真结果表明：在反作用飞轮的控制受限条件下，完成姿态机动的同时，使得挠性附件的振动幅值远远小于0．001，有效地抑制挠性附件的振动。     

腐蚀电场平面问题边界元法研究

 研究腐蚀电场平面问题的边界元理论和分析方法。首先,详细论述腐蚀电场平面问题的边界元理论。其次,针对电极极化曲线的非线性特性,提出一个求解含非线性边界条件的边界元问题的迭代解法。最后,按本文所述理论和方法,具体计算了某些电偶腐蚀电场的电位与电流密度分布,并与有关实驻结果比较,发现二者相符甚好。     

压电陶瓷叠层作动器迟滞蠕变非线性自适应混合补偿控制方法

压电陶瓷叠层作动器的迟滞蠕变非线性特性严重影响了控制系统的稳定性及动态跟踪精度。针对其迟滞蠕变非线性补偿控制问题,提出了一种高精度动态补偿压电陶瓷叠层作动器非线性特性的自适应混合补偿控制方法,即迟滞蠕变前馈补偿与自适应滤波反馈补偿结合的前馈-反馈混合控制方法。采用改进的Prandtl-Ishlinskii（Modified Prandtl-Ishlinskii,MPI）模型对压电陶瓷叠层作动器迟滞蠕变非线性特性进行精细化建模,并得到其逆补偿模型进行前馈补偿。根据前馈补偿误差,采用自适应滤波反馈控制对输入信号进行实时调控,实现对压电陶瓷叠层作动器的迟滞非线性及lg（t）型蠕变特性的实时精确补偿控制。数值仿真与实验结果表明,相比于常规前馈迟滞蠕变补偿,所提出的自适应混合补偿控制方法可以有效降低压电陶瓷叠层作动器的迟滞补偿误差,极大提高了迟滞蠕变非线性动态跟踪精度以及自适应性。     

针对局部非线性问题的混合坐标模态综合法

非线性动力系统模型的计算效率问题是结构动力学领域中的重要研究课题。提出了一种针对局部非线性问题的混合坐标自由界面子结构模态综合方法。根据局部非线性系统的特点,将结构按照线性部分与非线性部分进行分割。线性部分子结构可以通过模态坐标转换到模态空间。在对线性部分进行减缩的过程中考虑了剩余柔度的影响,并通过构造一组与低阶模态关于系统矩阵加权正交的向量组,解决了子结构含有刚体模态时剩余柔度矩阵无法计算的问题。非线性部分子结构则保留原有的物理坐标。通过界面协调关系,采用自由界面方法得到系统混合坐标综合方程。最后,通过数值算例验证了所提出方法的有效性。