卫星编队飞行有限时间控制方法

针对卫星编队飞行相对位置控制问题,提出了一种有限时间控制方法.首先,建立了编队卫星相对运动的非线性动力学方程.其次,设计了有限时间快速收敛的滑模面,提出了一种有限时间控制方法,该方法能保证闭环控制系统的全局稳定性和快速收敛性,并给出了理论证明.最后,将提出的方法应用于卫星编队飞行维持控制.仿真结果表明该方法在收敛时间和控制精度方面均优于传统线性滑模控制和终端滑模控制.     

基于终端滑模控制的四旋翼无人机编队控制

本文以四旋翼无人机为研究对象,基于终端滑模控制技术,实现了四旋翼无人机系统的编队飞行控制。在构建四旋翼无人机数学模型的基础上,为每架四旋翼无人机设计了广义误差状态,基于广义误差状态提出编队控制目标。为实现编队控制目标,设计了基于终端滑模控制的编队控制器,最终所有四旋翼无人机的广义误差状态收敛到零时即实现期望的编队队形,进一步结合有限时间稳定性理论给出了上述编队控制器有限时间稳定性证明。最后用一个仿真实例验证了所提出算法的有效性,并将本文提出的控制器与基于线性滑模控制的控制器进行对比,实验证明所提出的控制算法具有更好的编队控制效果。     

航天器编队飞行多目标姿态跟踪终端滑模控制

研究航天器编队飞行多目标姿态跟踪控制问题.为避免姿态大范围跟踪可能出现的奇点,采用欧拉参数描述航天器姿态.基于终端滑模技术,设计多目标姿态跟踪终端滑模控制器,并应用Lyapunov稳定性理论和扩展的Lyapunov有限时间稳定性理论证明控制系统稳定性和有限时间收敛性.该控制器参数方便调整,易于实现.由于没有对复杂多体航天器动力学进行线性化处理,从而保证了姿态跟踪控制精度.仿真结果表明,存在惯量参数摄动和外部干扰力矩的情况下,所设计的多目标姿态跟踪控制器具有良好鲁棒性和优越的跟踪性能.     

皮纳卫星编队保持动力学分析

针对皮纳卫星在编队飞行中的控制精度要求已提高到微米甚至纳米级,文章研究了小推力作用下高精度的皮纳卫星编队构型保持问题,在考虑摄动影响下,推导维持编队构型需要的控制力与编队距离、编队空间方位等参数之间的关系,为皮纳卫星编队构型的设计提供理论指导;同时基于bang-bang控制理论,使用有限状态机设计了一种高精度的编队控制律。仿真表明,提出的控制方法不但可以使系统快速收敛,同时还能使皮纳卫星编队的星间控制精度达到1 μm,与滑模控制律相比较,精度提高近10³倍。     

径向两星库仑编队队形保持自适应控制研究

研究地球同步轨道处径向两星库仑编队队形保持的自适应控制问题.建立了双星库仑编队在地球同步轨道处径向两星库仑编队动力学模型.基于建立的非线性化动力学模型,同时考虑到外部扰动和动力学模型误差等因素,设计径向两星库仑编队在地球同步轨道处的构型保持自适应控制律,并利用Lyapnuov稳定性理论证明系统的闭环稳定性.最后进行数值仿真,并与传统PID控制进行了比较.仿真结果表明提出的自适应控制律响应速度快,稳定性好,编队构型能够收敛到期望值,控制性能明显优于PID控制.     

径向共线多星库仑编队飞行构型保持研究

本文研究了多星库仑卫星编队在地球同步轨道处径向轨道动力学与控制问题.首先建立了N颗卫星在同步轨道点处的动力学模型,然后以只在库仑力作用下的四颗卫星编队为例,对共线四星编队模型进行线性化处理.针对其动力学模型设计了LQR控制器.考虑到建模误差,利用误差最大有界范围的二范数设计了改进型的LQR控制律,针对变量引入积分项对扰动误差进行补偿以提高控制精度.数值仿真结果表明,所建立的多星编队动力学模型是正确的,引入积分项的控制减少了编队构型稳定所需时间,且有效维持了编队构型.     

基于终端滑模和神经网络的多目标姿态跟踪鲁棒控制#br#

研究了航天器编队飞行多目标姿态跟踪的鲁棒控制问题.主航天器由中心刚体和一个快速机动天线组成,星载相机跟踪某一特定目标,同时天线与从航天器保持通信.在考虑模型不确定性和外部干扰情况下,基于非奇异终端滑模技术和RBF神经网络,设计了多目标姿态跟踪鲁棒控制器.鲁棒控制器由RBF神经网络和一个自适应控制器组成.自适应控制器用于抵消神经网络的逼近误差和实现期望的控制性能.RBF神经网络用于逼近模型不确定部分与外部干扰力矩,并且根据非奇异终端滑模的有限时间收敛属性,提出了一种RBF网络的在线学习算法,提高了RBF网络的逼近效率.应用Lyapunov稳定性理论,证明了闭环系统稳定性.数值仿真结果表明所设计的控制器对外部干扰与模型不确定具有良好的鲁棒性.     

基于终端滑模和神经网络的多目标姿态跟踪鲁棒控制

研究了航天器编队飞行多目标姿态跟踪的鲁棒控制问题.主航天器由中心刚体和一个快速机动天线组成,星载相机跟踪某一特定目标,同时天线与从航天器保持通信.在考虑模型不确定性和外部干扰情况下,基于非奇异终端滑模技术和RBF神经网络,设计了多目标姿态跟踪鲁棒控制器.鲁棒控制器由RBF神经网络和一个自适应控制器组成.自适应控制器用于抵消神经网络的逼近误差和实现期望的控制性能. RBF神经网络用于逼近模型不确定部分与外部干扰力矩,并且根据非奇异终端滑模的有限时间收敛属性,提出了一种RBF网络的在线学习算法,提高了RBF网络的逼近效率.应用Lyapunov稳定性理论,证明了闭环系统稳定性.数值仿真结果表明所设计的控制器对外部干扰与模型不确定具有良好的鲁棒性.     

高超声速飞行器全局有限时间姿态控制方法

以高超声速飞行器6自由度模型为研究对象,设计了一种基于终端滑模的全局有限时间姿态控制方法。在控制器设计中,通过动态逆实现对俯仰、偏航和滚转通道的解耦处理。在考虑模型不确定性和外部干扰的情况下,终端滑模变结构控制方法用于保证系统的鲁棒性。同时,通过改进指数趋近律,实现闭环系统在滑模面趋近阶段和沿滑模面滑动阶段均是有限时间收敛的。基于李雅普诺夫稳定性理论,控制器的全局有限时间收敛特性得到证明。仿真实验结果验证了高超声速飞行器全局有限时间姿态控制方法的有效性。      

Finite-time relative orbit-attitude tracking control for multi-spacecraft with collision avoidance and changing network topologies

This paper addresses the relative position tracking and attitude synchronization control problem for spacecraft formation flying (SFF). Based on the derived relative coupled six-degree-of-freedom dynamics, a robust adaptive finite-time fast terminal sliding mode controller is proposed to achieve the desired formation in the presence of model uncertainties and external disturbances. It is shown that the designed controller is effective for changing information exchange topology making it robust to node failure. Then, the artificial potential function method is employed to generate collision avoidance schemes to modify the controller such that inter-agent collision avoidance can be ensured during the formation maneuver, which is critical for practical missions. The stability of the overall closed-loop system is proved by using Lyapunov theory. Finally, numerical examples for a given SFF scenario are presented to illustrate the performance of the controller.     

基于模糊神经网络干扰观测器的组合体航天器姿态控制

针对非合作目标存在对抗性力矩输出情况下的组合体航天器姿态控制系统,提出了一种基于模糊神经网络干扰观测器(Fuzzy Neural Network Disturbance Observer, FNNDO)的非奇异终端滑模(Nonsingular Terminal Sliding Mode, NTSM)有限时间控制策略。首先以服务航天器为基准,建立组合体航天器姿态数学模型,然后针对包含惯量不确定性、目标对抗性力矩等的等效干扰力矩,设计了一种具有自适应能力的FNNDO,可以实现对等效干扰的有效跟踪。在FNNDO的基础上,设计NTSM控制器,利用Lyapunov理论证明闭环系统的有限时间稳定性。最后,仿真实验结果表明了控制策略的有效性和观测器在观测性能上的优越性。     

基于视线测量的卫星编队机动控制方法

采用视线测量的方法,建立一种编队卫星队形保持与机动的协同控制策略。编队中每一个卫星跟踪自己轨道前方邻近卫星,产生一个视线测量矢量,编队的第一个卫星根据高级控制层指令追踪期望轨道,产生链式编队,将编队卫星之间的视线距离作为反馈控制量来实现队形控制。通过推导J2相对摄动力的表达式,控制模型考虑了模型不确定性和摄动影响,采用滑模控制器,实现了基于视线测量的编队卫星链式跟踪协同控制。仿真算例结果表明,该方法在实现编队卫星队形保持与整体机动控制上具有可行性。     

Fault tolerant small satellite attitude control using adaptive non-singular terminal sliding mode

The Attitude Control System (ACS) plays a pivotal role in the whole performance of the spacecraft on the orbit; therefore, it is vitally important to design the control system with the performance of rapid response, high control precision and insensitive to external perturbations. In the first place, this paper proposes two adaptive nonlinear control algorithms based on the sliding mode control (SMC), which are designed for small satellite attitude control system. The nonlinear dynamics describing the attitude of small satellite is considered in a circle reference orbit, and the stability of the closed-loop system in the presence of external perturbations is investigated. Then, in order to account for accidental or degradation fault in satellite actuators, the fault-tolerant control schemes are presented. Hence, two adaptive fault-tolerant control laws (continuous sliding mode control and non-singular terminal sliding mode control) are developed by adopting the nonlinear analytical model to describe the system, which can guarantee global asymptotic convergence of the attitude control error with the existence of unknown external perturbations. The nonlinear hyperplane based Terminal sliding mode is introduced into the control law design; therefore, the system convergence performance improves and the control error is convergent in “finite time”. As a result, the study on the non-singular terminal sliding mode control is the emphasis and the continuous sliding mode control is used to compare with the non-singular terminal sliding mode control. Meanwhile, an adaptive fuzzy algorithm has been proposed to suppress the chattering phenomenon. Moreover, several numerical examples are presented to demonstrate the efficacy of the proposed controllers by correcting for the external perturbations. Simulation results confirm that the suggested methodologies yield high control precision in control. In addition, actuator degradation, actuator stuck and actuator failure for a period of time are simulated to demonstrate the fault recovery capability of the fault tolerant controllers. The numerical results clearly demonstrate the good performance of the adaptive non-singular terminal control in the event of actuator fault compare with the continuous sliding mode control.     

Active vibration suppression for flexible satellites using a novel component synthesis method

This paper is devoted to developing a closed-loop vibration suppression controller for a satellite with large flexible appendages based on component synthesis vibration suppression (CSVS) method. The dynamics model of a flexible satellite is firstly established by using the Newton–Euler methodology, and the dynamics model of the flywheel is also developed. A novel CSVS method is presented based on zero-vibration differentiator (ZVD), which can guarantee multi-order vibration suppression. Combined with the proposed CSVS method, traditional closed-loop controllers such as PD or sliding mode controllers can be applied to active vibration suppression. The stability of the proposed closed-loop CSVS controller is proved by the Lyapunov theory. Subsequently, the dynamic optimal control allocation algorithm is proposed for six flywheels, and a novel nonsingular fast terminal sliding mode controller is developed to obtain practical voltage control input for the flywheel drive control system. Finally, numerical simulations are carried out to validate the effectiveness of the proposed method.     

带攻击角度约束的自适应终端滑模导引律

针对某些导弹在对目标进行打击时需要满足零脱靶量和攻击角度约束的要求,首先基于终端滑模控制和有限时间控制理论,改进了一种快速收敛的非奇异终端滑模函数,用于设计滑模面,结合自适应指数趋近律,提出了一种自适应非奇异终端滑模控制方法,解决了传统终端滑模控制中存在的奇异问题,并使状态变量在有限时间内快速收敛到平衡点。然后将所提方法用于导引律的设计,提出了一种带攻击角度约束的自适应非奇异和有限时间收敛导引律,实现了导弹对脱靶量和攻击角度约束的要求;采用有限时间控制理论对该导引律的收敛特性进行了分析,证明了制导系统状态的全局有限时间快速收敛特性。与传统的非奇异终端滑模导引律相比,本文所提导引律能够在更短的时间内以更小的脱靶量和更高精度的攻击角度对目标实施打击。最后进行了大量的对比仿真实验,仿真结果验证了所提导引律的有效性。      

地球静止轨道混合推进三星库仑编队队形保持控制研究

研究了地球静止轨道处混合推进三星库仑编队队形保持控制问题.首先考虑未知有界相对摄动影响,建立了地球静止轨道处混合推进三星库仑编队动力学方程.然后基于相对运动解析解,设计了投影圆轨道旋转编队构型.最后采用滑模控制方法,设计了控制器并证明其稳定性,用饱和函数对控制器进行了改进,消除了抖振的影响.通过控制编队内部静电力和补充...     

Minimum sliding mode error feedback control for fault tolerant small satellite attitude control

This paper proposes a new control strategy (which we call “minimum sliding mode error feedback control, MSMEFC”) for small satellite attitude control. As we know, the attitude control algorithm plays a significant role in the whole performance of the satellite, especially under the existence of uncertain disturbances from the space. Without loss of generality, the MSMEFC is presented based on the sliding mode theory. It is assumed that the equivalent control error is defined to offset the uncertain disturbances to improve the control performance. Hence, in order to estimate the optimal equivalent control error, a cost function is derived on the basis of the principle of minimum sliding mode error. Then, the equivalent control error wills feedback to the conventional sliding mode control to obtain the final MSMEFC. According to the theoretical analyzes, the sliding mode after the MSMEFC will approximate to the ideal sliding mode, resulting in enhancing the control performance. Moreover, an adaptive non-singular terminal sliding mode is employed to compare with the performance of MSMEFC. Several simulations are performed to verify the effectiveness of proposed MSMEFC in the presence of serious perturbations, even in some fault-tolerant scenarios.