Fully distributed time-varying formation tracking control for multiple quadrotor vehicles via finite-time convergent extended state observer

This paper investigates a time-varying anti-disturbance formation problem for a group of quadrotor aircrafts with time-varying uncertainties and a directed interaction topology. A novel Finite-Time Convergent Extended State Observer (FTCESO) based fully-distributed formation control scheme is proposed to enhance the disturbance rejection and the formation tracking performances for networked quadrotors. By adopting the hierarchical control strategy, the multi-quadrotor system is separated into two subsystems: the outer-loop cooperative subsystem and the inner-loop attitude subsystem. In the outer-loop subsystem, with the estimation of disturbing forces and uncertain dynamics from FTCESOs, an adaptive consensus theory based cooperative controller is exploited to ensure the multiple quadrotors form and maintain a time-varying pattern relying only on the positions of the neighboring aircrafts. In the inner-loop subsystem, the desired attitude generated by the cooperative control law is stably tracked under a FTCESO-based attitude controller in a finite time. Based on a detailed algorithm to specify the cooperative control protocol, the feasibility condition to achieve the time-varying anti-disturbance formation tracking is derived and the rigorous analysis of the whole closed-loop multi-quadrotor system is given. Some numerical examples are conducted to intuitively demonstrate the effectiveness and the improvements of the proposed control framework.     

航天器姿态大角度机动有限时间控制

针对航天器姿态大角度机动控制问题，在存在外部扰动的情况下，基于航天器姿态跟踪系统的标准级联特性，利用反步法和自适应控制设计有限时间控制器。提出的控制方法可以严格保证姿态大角度机动系统是全局有限时间稳定的。李雅普诺夫理论推导和仿真结果表明，系统在控制器的作用下可以快速机动到平衡点并保持稳定，全物理仿真试验进一步表明了所提出的控制方法的有效性和优越性。     

Novel finite-time attitude control of postcapture spacecraft with input faults and quantization

This paper investigates a novel finite-time attitude control method for the postcapture spacecraft with an unknown captured space target in the presence of input faults and quantization. First, a quasi fixed-time convergent performance function is developed to quantitatively characterize the attitude tracking performance. Then, a backstepping prescribed performance attitude controller is devised via using integral barrier Lyapunov function. Compared with the existing works, the fractional state feedback and discontinuous controller is directly avoided to achieve the fixed-time convergence rate. Namely, the proposed fixed-time controller is easily achieved online. Finally, two groups of illustrative examples are organized to validate the effectiveness and robustness of the proposed control method.     

基于拉格朗日方法的通气云状空泡三维非定常脱落特性研究

采用均相流模型并结合FBM湍流模型,对绕轴对称回转体通气云状空泡流动特性进行了三维数值模拟,基于实验结果对数值方法进行验证,同时利用基于拉格朗日体系的有限时间李雅普诺夫指数(FTLE)、拉格朗日拟序结构(LCS)和粒子追踪方法分析了其三维非定常脱落特性。研究结果表明:纵截面上空泡覆盖区域的拉格朗日拟序结构整体呈椭球状分布,内部为不规律的复杂拟序结构;不同横截面上拟序结构分布存在很大差异。空泡内部的非对称流动结构和周向流动导致空泡呈现很强的三维运动特性。反向射流在周向上推进的不同步性,是造成空泡呈现不规则断裂和大尺度U型空泡团脱落的主要原因。     

航天器连续非光滑姿态控制律设计

为了提高航天器姿态控制系统的鲁棒性和动态特性,应用非光滑控制方法设计了连续的姿态控制律,使闭环姿态控制系统具有齐次性,且齐次度为负,实现了姿态控制系统的有限时间稳定,以保证系统状态的动态特性。分别针对标称系统、参数不确定性和外部扰动等情形进行了仿真验证,仿真结果表明所设计的控制律在保证标称系统有限时间稳定性的同时,针对系统的不确定性和扰动具有鲁棒性。     

临近空间拦截弹的非奇异终端滑模控制

针对临近空间直接力/气动力复合控制拦截弹的抗干扰控制问题,提出了一种基于有限时间干扰观测器(FTDO)的非奇异终端滑模(NTSM)复合跟踪控制策略。首先,设计FTDO估计系统的不匹配干扰;在此基础上,设计基于FTDO的NTSM复合控制律,获取期望的控制力矩。接着,考虑到作为执行机构的气动舵和反作用喷气装置存在冗余性,进一步提出了一种动态控制分配算法实现期望控制指令到执行机构的分配,获得良好的控制分配精度和较小的执行机构能耗。最后,仿真结果验证了所设计复合控制系统的有效性。     

基于有限时间H2性能指标的导弹机动突防策略设计

针对导弹机动突防策略设计中存在的对主要性能指标缺乏综合评价手段的问题,基于有限时间H2性能指标,给出系统性能分析与设计的准则,综合考虑脱靶量和机动消耗的能量,设计了脱靶量/能量最优的机动形式。考虑拦截器制导律信息存在不确定性,提出了有限时间鲁棒H2性能分析方法与有限时间鲁棒H2保性能控制准则,设计了在拦截器制导律信息存在不确定性时的保性能机动。结果表明,突防导弹在拦截末段的大幅度机动最为有效,能够以较小的能量代价换取较大的拦截脱靶量。
     

六自由度气浮台及其姿态平台自动平衡系统设计

针对卫星交会对接中相对姿态和位置的控制问题,设计一种6自由度（DOF）气浮台,并推导出描述两个气浮台模拟卫星交会对接运动的耦合6自由度(DOF)动力学模型。为解决气浮台模拟空间失重环境中的重力力矩干扰问题,设计一种基于应用新颖的快速非奇异终端滑模面的自适应有限时间控制器的自动平衡系统,估计出质心位置,通过控制三个平衡质量块补偿姿态平台质心与旋转中心之间的位置偏差。李雅普诺夫理论推导和仿真结果表明,该方法可以快速完成对姿态平台质心位置的准确估计,实现质心与旋转中心的高度重合。     

航天器避障交会有限时间滑模控制

针对航天器安全交会过程中的避障问题,提出一种基于有限时间滑模变结构控制与人工势函数相结合的控制方法。首先,对斥力势进行修正使得势函数在期望状态的值为零。其次,基于速度偏差和引力梯度设计滑模面,并考虑障碍物的速度设计控制律。利用Lyapunov稳定性定理分析证明在存在外部干扰情况下,系统能够在有限时间内收敛到期望状态并保持渐近稳定。最后,利用数值仿真来验证所设计的控制律的正确性和有效性。仿真结果表明,该方法能够有效实现规避动态障碍物,满足安全交会的要求。     

Finite-time composite guidance law with input constraint and dynamics compensation

Guidance laws are proposed for a near space interceptor with on–off type thrust as output. The target-interceptor engagement kinematics is integrated with the first-order dynamics of thruster to design guidance laws. The bang-bang type guidance law with linear sliding mode is proposed to deal with thruster dynamics, and the sufficient condition for finite time convergence is rigorously proved based on the finite-time convergence theory. According to the sufficient condition, a sliding mode guidance law with hysteresis-band switching is introduced to reduce the switching frequency of thruster. Then two guidance laws are combined into a composite guidance law to improve the guidance performance. Simulation results show that the line-of-sight angular rate can converge to a neighborhood of the equilibrium point before the final time of the guidance process, and the composite guidance law has better performance than typical guidance laws.