基于Lyapunov方法的空间飞行器大角度姿态机动控制

本文研究空间飞行器大角度资态机动的控制问题，为了克服大角度机动时使用欧拉角可能产生的奇异问题，文中使用四元参形式的微分方程来描述飞行器的运动，飞行器的动力学方程具有不确定性和非线性。本文应用Lyapunov方法设计在大角度姿态机动控制器，这个控制器具有按指数规律变化的增益，它大大减小了对初始力矩的要求，最后，本文给出一个例子来说明所导出的控制器的优点。     

基于Lyapunov函数的永磁同步电机速度控制器设计

传统的PI 速度控制器具有速度超调、动态时间长、跟踪精度低、抗负载转矩扰动能力和恢复能力差等缺点。提出了利用永磁同步电机(PMSM)的运动方程和转矩方程推导出控制系统q轴电流给定量,基于Lyapunov稳定性条件设计出的一种PMSM速度控制器。相比于传统的PI速度控制器,该控制器没有速度超调量、动态时间短、跟踪精度高,抗负载扰动能力和恢复能力有一定的提高。利用 MATLAB/Simulink仿真软件,搭建控制系统模型并进行仿真分析。仿真验证了提出的PMSM速度控制器的有效性,获得了很好的速度控制性能。     

Cascade-type guidance law design for multiple-UAV formation keeping

A procedure to compute guidance commands for controlling the relative geometry of multiple unmanned aerial vehicles (UAVs) in formation flight is proposed. The concepts of branch, global leader, and local leader/follower are used to represent the whole formation geometry. A positive-definite function defined in terms of the formation error is then introduced and the Lyapunov stability theorem is used to obtain the cascade type guidance law. This scheme leads to the synchronized flight of all UAVs while maintaining formation geometry. The results of a high fidelity nonlinear simulation of a reconnaissance and surveillance mission example are presented to show the effectiveness of the proposed guidance law.     

Robust control for an unmanned helicopter with constrained flapping dynamics

In this paper, a neural network based adaptive prescribed performance control scheme is proposed for the altitude and attitude tracking system of the unmanned helicopter in the presence of state and output constraints. For handling the state constraints, the barrier Lyapunov function and the saturation function are employed. And, the prescribed performance method is used to deal with the flapping angle constraints for the unmanned helicopter. It is proved that the proposed control approach can ensure that all the signals of the resulting closed-loop system are bounded, and the tracking errors are within the prescribed performance bounds for all time. The numerical simulation is given to illustrate the performance of the proposed scheme.     

基于Lyapunov最小-最大方法的卫星编队飞行队形保持

提出一种卫星编队飞行队形保持的鲁棒控制方法.将环境摄动、推力误差等因素作为干扰项加到相对动力学方程中.然后对于该不确定系统,采用Lyapunov最小一最大方法设计相应的控制律,在存在干扰的情况下,采用该控制律仍然能保证系统渐近稳定.同时针对经典的Lyapunov最小一最大方法导致的控制颤振问题,进行了改进,证明了改进后的控制律能够实现系统的一致终极有界,同时消除颤振.通过仿真,验证了采用Lyapunov最小-最大方法在系统存在干扰的情况下,比一般控制方法具有更强的鲁棒性.     

时滞Hopfield神经网络稳定性测试方法研究

利用Lyapunov泛函方法，研究了具有时滞的Hopfield神经网络稳定性的测试问题，得到了网络全局渐近稳定性与滞量无关的测试方法，这对于时滞神经网络的设计与检验具有普遍应用的意义。     

Fuzzy adaptive tracking control within the full envelope for an unmanned aerial vehicle

Motivated by the autopilot of an unmanned aerial vehicle（UAV） with a wide flight envelope span experiencing large parametric variations in the presence of uncertainties, a fuzzy adaptive tracking controller（FATC） is proposed. The controller consists of a fuzzy baseline controller and an adaptive increment, and the main highlight is that the fuzzy baseline controller and adaptation laws are both based on the fuzzy multiple Lyapunov function approach, which helps to reduce the conservatism for the large envelope and guarantees satisfactory tracking performances with strong robustness simultaneously within the whole envelope. The constraint condition of the fuzzy baseline controller is provided in the form of linear matrix inequality（LMI）, and it specifies the satisfactory tracking performances in the absence of uncertainties. The adaptive increment ensures the uniformly ultimately bounded（UUB） predication errors to recover satisfactory responses in the presence of uncertainties. Simulation results show that the proposed controller helps to achieve high-accuracy tracking of airspeed and altitude desirable commands with strong robustness to uncertainties throughout the entire flight envelope.     

考虑控制饱和的编队飞行卫星姿态协同控制

研究了考虑控制输入饱和的编队飞行卫星姿态协同控制问题,提出了一种非线性饱和协同控制器.与单颗卫星输入受限控制中通常选用双曲正切函数不同,引入了一个新的连续可微的非线性饱和函数向量,以保证连续控制输入的有界性,并便于姿态协同系统的稳定性分析.基于闭环姿态协同系统在期望跟踪角速度不同取值情况下属于自主或非自主系统的特点,分别采用LaSalle不变原理和Barbalat引理对不同情况下的协同控制系统的稳定性进行了分析,得出了系统渐近稳定的结论.仿真结果表明,这种非线性协同控制器,既能实现编队卫星的姿态协同,又能确保控制输入的有界性.     

天线罩误差下基于ADP的机动目标拦截制导策略

针对导弹导引头存在的天线罩误差,提出了一种基于自适应动态规划(ADP)的制导策略。不同于传统处理天线罩误差的估计与补偿方式,避免了估计过程中产生的误差影响。在导弹拦截机动目标的场景下,将拦截问题转化为鲁棒最优控制问题。设计了一种既可以消除天线罩误差和目标机动影响,又可以保证控制能量最小的代价函数。通过构造评价网络,利用自适应动态规划来求解近似鲁棒最优制导策略,并附加鲁棒控制项得到最终的机动目标拦截制导策略。采用李雅普诺夫稳定性理论证明了权值误差的一致最终有界和闭环系统的渐近稳定。仿真结果验证了所提出制导策略对天线罩误差下拦截机动目标的有效性。     

广义系统静态输出反馈镇定的一个充要条件

研究广义系统静态输出反馈镇定的问题．基于广义李雅普诺夫方程,给出广义系统通过输出反馈镇定的一个充要条件,该结果是正常系统输出反馈镇定相应结果的推广。另外给出了求取镇定控制器参数的一个算法,并通过数字算例说明该算法是有效的。