涡扇发动机早期退化性能的线性变参数估计

针对涡扇发动机线性变参数(Linear parameter varying,LPV)模型,给出了一种新的早期退化航空发动机部件性能LPV滤波器设计方法.该方法采用仿射依赖于参数的二次Lyapunov函数,在仿射二次稳定性的基础上,引入多凸性引理将滤波器求解问题转化为线性矩阵不等式(Linear matrix inequalities,LMI)约束下的凸优化问题,避免了求解参数化线性矩阵不等式(Parameterized linear matrix inequalities,PLMI)约束下的优化问题.针对某型早期退化涡扇发动机的仿真表明,该方法能以较高精度估计性能退化参数,且鲁棒性强,增益调度简单,具有一定的工程意义.      

基于广义系统表达式的模糊系统稳定性分析

研究不确定T-S模糊系统的稳定性问题,并基于模糊广义系统表达式,给出了系统稳定的充分条件。在此基础上,转化为求解线性矩阵不等式的问题。与以往结果相比,减少了求解过程的计算量。同时,为了得到更为松弛的线性矩阵不等式条件,提出一种新的模糊控制器设计及模糊Lyapunov函数。算例说明所提方法有效和可行。     

基于Lyapunov方法的双臂空间机器人避障碍分级非完整运动规划

以Lyapunov方法为基础,讨论了载体姿态与位置均不受控制的双臂空间机器人系统的避障碍分级非完整运动规划问题.该方法充分利用系统的非完整动力学性质,以系统动量矩守恒关系及运动Jacobi关系为基础,建立控制设计所需的系统状态方程及控制输出方程;并在Lyapunov函数的选取上采用两级采取方式,即初级Lyapunov函数确保双臂空间机器人的两个末端抓手从初始位置运动到指定的终点位置,次级Lyapunov函数则确保两个末端抓手避开工作空间中的障碍区域;两级合成则使双臂空间机器人的两个末端抓手既实现了指定的位置移动又避开了障碍区域.系统数值仿真,证明了方法的有效性.      

基于B参数的轴流压气机过失速稳定性分析

基于2阶Greitzer模型,按照B参数的变化,通过对系统方程进行局部线性化,把从失速到喘振的过失速过程划分为4个阶段进行非线性分析,不仅观察到了临界点附近的系统变化规律,而且可以准确判定临界点的位置。在B参数大于临界点时的情况下,引入了Lyapunov稳定性理论和局部不变集定理对系统进行全局稳定性分析,结合仿真结果,表明系统轨迹趋近于稳定的喘振极限环。      

目标机动条件下的定点伴飞控制方法研究

对目标机动条件下的定点伴飞控制进行了研究。根据相对运动关系,建立适于伴飞模式的相对运动方程,将目标机动大小作为未知量加入相对运动方程,构建不确定系统。用LQR和Lyapunov法结合的方式设计相应定点伴飞控制律。理论证明了在目标机动时该控制律仍能实现系统的渐近稳定。仿真结果验证了该控制律的有效性。     

近距离星间相对姿轨耦合动力学建模与控制

针对在轨服务过程中近距离星间相对位置以及相对姿态精确控制的问题,考虑相对姿态与相对轨道之间的耦合作用,建立星间相对姿轨耦合动力学模型.提出编队星相对基准星进行接近绕飞的任务需求,给出相对姿态以及相对轨道的期望状态.设计相对姿态轨道联合控制算法对相对姿态和轨道进行联合控制.仿真结果表明,所设计的控制算法能够很好地抑制相对姿态与相对轨道的相互影响作用,最终实现编队星对基准星的精确指向绕飞运动.     

Kinematics-based four-state trajectory tracking control of a spherical mobile robot driven by a 2-DOF pendulum

Spherical mobile robot has compact structure, remarkable stability, and flexible motion,which make it have many advantages over traditional mobile robots when applied in those unmanned environments, such as outer planets. However, spherical mobile robot is a special highly under-actuated nonholonomic system, which cannot be transformed to the classic chained form. At present, there has not been a kinematics-based trajectory tracking controller which could track both the position states and the attitude states of a spherical mobile robot. In this paper, the four-state(two position states and two attitude states) trajectory tracking control of a type of spherical mobile robot driven by a 2-DOF pendulum was studied. A controller based on the shunting model of neurodynamics and the kinematic model was deduced, and its stability was demonstrated with Lyapunov's direct method. The control priorities of the four states were allocated according to the magnification of each state tracking error in order to firstly ensure the correct tracking of the position states. The outputs(motor speeds) of the controller were regulated according to the maximum speeds and the maximum accelerations of the actuation motors in order to solve the speed jump problem caused by initial state errors, and continuous and bounded outputs were obtained. The effectiveness including the anti-interference ability of the proposed trajectory tracking controller was verified through MATLAB simulations.     

关联大系统的中性化分散控制与稳定性

本文提出了一种新的关联大系统中性化分散控制方法,可以使大系统处于非中性关联时的性能等同于子系统全解耦时的性能,确保各子系统有完全的自主性,避免了大系统的参数阵出现摄动,从而改进了关联大系统的整体性能。文中根据向量李亚普诺夫函数,在解耦分散控制子系统渐近稳定的条件下,提出了一种根据中性化关联矩阵判断关联大系统稳定性的方法。     

Decentralized attitude synchronization tracking control for multiple spacecraft under directed communication topology

This paper studies the attitude synchronization tracking control of spacecraft formation flying with a directed communication topology and presents three different controllers. By introducing a novel error variable associated with rotation matrix, a decentralized attitude synchronization controller, which could obtain almost global asymptotical stability of the closed-loop system, is developed. Then, considering model uncertainties and unknown external disturbances, we propose a robust adaptive attitude synchronization controller by designing adaptive laws to estimate the unknown parameters. After that, the third controller is proposed by extending this method to the case of time-varying communication delays via Lyapunov–Krasovskii analysis. The distinctive feature of this work is to address attitude coordinated control with model uncertainties, unknown disturbances and time-varying delays in a decentralized framework, with a strongly connected directed information flow. It is shown that tracking and synchronization of an arbitrary desired attitude can be achieved when the stability condition is satisfied. Simulation results are provided to demonstrate the effectiveness of the proposed control schemes.     

空间飞行器大角度机动递阶饱和控制律设计

针对以飞轮为执行机构的空间飞行器进行姿态大角度机动递阶饱和控制。在初始状念任意，反作用轮输出力矩受限、速率饱和约束条件下，提出递阶饱和的变结构机动策略，即针对飞行器的运动学模型，利用飞行器的误差四元数和角速度，通过绕瞬时欧拉轴旋转，引入误差凹元数限幅器，对姿态偏差进行逐次消除，提出了不需事先规划轨迹的绕欧拉轴逐次逼近控制算法。并且引入模糊推理规则来改进递阶饱和变结构控制设计，使得系统轨迹既能快速趋近滑动面又能降低抖振，有效减弱了一般变结构控制律中抖振问题，从而提高了变结构控制律的品质。