一种非线性末制导系统模型的精确线性化

针对未来高机动目标的拦截 ,运用非线性系统几何理论中的精确线性化方法 ,设计了一种空空导弹非线性末制导系统加速度指令。假设目标做逃逸机动 ,弹体 -自动驾驶仪响应用一个二阶环节描述 ,建立了导弹目标三维相对运动方程。根据终端约束直接选取系统输出阵 ,经动态反馈线性化 ,将非线性系统模型转化为线性方程 ,求得了目标任意机动时的非线性末制导系统的加速度指令。以纵向平面为例进行了仿真计算 ,结果表明该方法是行之有效的 ,得到的解可以用来改进导弹大离轴发射角时的进攻能力。     

重复使用运载器基于轨迹线性化的俯仰角控制

为了改善重复使用运载器末端区域能量管理段的控制系统性能,提出了一种基于轨迹线性化的俯仰角控制回路结构,该结构由伪逆模型前馈和反馈控制组成.根据瞬时平衡的定义,沿轨迹剖面线性化,获得了伪逆模型的设计方法,形成俯仰控制结构.以高空超声速飞行为例,进行了俯仰角控制设计,并与常规反馈控制相比较.结果表明,基于轨迹线性化的俯仰角控制,可以改善控制系统的动态性能,减小反馈回路的负担,降低积分饱和的可能性.      

基于滑模变结构的永磁同步电机精确线性化控制

 永磁同步电机是一个多变量、非线性、强耦合系统,从非线性动态数学模型出发,应用精确线性化理论,实现了永磁同步电机系统的输入-输出线性化与解耦。通过线性化模型设计速度跟踪控制律,用指数滑模变结构控制器来设计电流调节器,算法简单实用,提高了速度跟踪的快速性和精确性。仿真和实验结果表明,该控制策略具有理想的动态性能和良好的鲁棒性。     

对称分段线性系统主共振的分叉

由ＫＢＭ法推出的分段线性系统主共振的一次近似解，导出了分叉方程，然后应用奇异性理论对主共振的分叉类型进行了系统的分析，并用计算稳态周期运动的参数延续数值方法结果与其中感兴趣的部分进行了对比，发现基于弱非线性分析的主共振一次近似解在较强的非线性情况下仍具有一定的精度。     

三容实验系统的变结构PID控制

基于非线性系统的反馈线性化,介绍了一种变结构PID控制方法．该方法能够有效地改善有控制量约束系统的控制性能．以某试验系统为被控对象,在对其进行反馈线性化同时实现静态解耦的基础上,给出了变结构PID控制的实验结果,并与常规PID控制进行了比较．结果表明了变结构PID控制的优越性．     

Adaptive neural network control of nonlinear systems with unknown dynamics

In this study, an adaptive neural network control approach is proposed to achieve accurate and robust control of nonlinear systems with unknown dynamics, wherein the neural network is innovatively used to learn the inverse problem of system dynamics with guaranteed convergence. This study focuses on the following three contributions. First, the considered system is transformed into a multi-integrator system using an input–output linearization technique, and an extended state observation technique is used to identify the transformed states. Second, an iterative control learning algorithm is proposed to achieve the neural network training, and stability analysis is given to prove that the network’s predictions converge to ideal control inputs with guaranteed convergence. Third, an adaptive neural network controller is developed by combining the trained network and a proportional-integral controller, and the long-standing challenge of model-based methods for control determination of unknown dynamics is resolved. Simulation results of a virtual control mission and an aerospace altitude tracking mission are provided to substantiate the effectiveness of the proposed techniques and illustrate the adaptability and robustness of the proposed controller.     

Modeling and control of a novel electro-hydrostatic actuator with adaptive pump displacement

The variable pump displacement and variable motor speed electro-hydrostatic actuator (EHA), one of the three types of EHAs, has advantages such as short response time, flexible speed regulation, and high efficiency. However, the nonlinearity of its double-input single-output system poses a great challenge for system control. This study proposes a novel EHA with adaptive pump displacement and variable motor speed (EHA-APVM). A closed-loop position is realized using a servomotor. Moreover, the displacement varies with the system pressure; thus, the EHA-APVM is a single-input and single-output system. Firstly, the working principles of the EHA-APVM and the pump used in the system are introduced. Secondly, a nonlinear mathematical model of the proposed EHA-APVM control system is established, and a feedback back-stepping (FBBS) control algorithm is introduced to transform the complex nonlinear system into a linear system on the basis of the back-stepping control theory. Finally, simulation results prove that the EHA-APVM has a quick response and high robustness to variations of the load and the pump displacement. In this work, the size and weight of the motor are significantly reduced because the maximum power requirement is reduced, which is very beneficial for using the actuator in airborne equipment.     

氨—空气混合物高浓度气体吸收中的数据回归

本文论述了回归分析在数据处理中的应用，通过氨－空气混合物高浓度气体吸收中的数据处理这一实例，介绍如何将非线性问题转化为线性问题的处理过程，给出建立经验公式为检验所建公式可用性的方法。     

具有多输入和扰动作用的非线性系统的前馈/反馈线性化

 研究了具有多输入和扰动作用的非线性系统的线性化问题。对这类非线性系统,利用非线性前馈和反馈的方法,对状态空间坐标和控制输入空间坐标的变换,从而获得与之等价的可控准线性系统:z=Az+Bv+ρ(z)d。讨论了这类非线性系统前馈/反馈线性化的具体步骤,并给出了一个算例。     

综合飞行轨迹指令跟踪控制器设计

运用多重尺度奇异摄动理论，结合动态逆解耦理论和动态平衡点邻区域优化线性化系统的优化解耦控制律理论，研究了战术任务综合飞行管理系统的综合飞行轨迹指令跟踪控制器系统化设计方法。对Ｆ－１５飞机，设计了综合飞行轨迹跟踪控制器。数字仿真结果表明，设计的跟踪控制器能够控制飞机精确跟踪不同时标集的飞行指令。