Asymptotically decoupled discontinuous control of systems andnonlinear aircraft maneuver

The question of control of a class of nonlinear systems that can be decoupled by state-variable feedback is considered. Based on variable-structure system theory, a discontinuous control law is derived that accomplishes asymptotic decoupled output trajectory-following in the presence of uncertainty in the system. In the closed-loop system, the trajectories are attracted toward a chosen hypersurface in the state space and then slide along it. During the sliding phase the motion is insensitive to parameter variations. Based on this result, a control law for asymptotically decoupled control of roll angle, angle of attack, and sideslip in rapid, nonlinear maneuvers is derived. Simulation results are presented to show that large, simultaneous lateral and longitudinal maneuvers can be performed in spite of uncertainty in the stability derivatives     

近地卫星严格回归轨道保持控制

研究了近地卫星基于严格回归参考轨道的轨道保持控制方法：将卫星编队理论引入单星绝对轨道保持控制,提出了"虚拟卫星编队"的概念,分析了卫星轨道相对于参考空间轨迹在轨道摄动情况下的偏离状态及变化趋势,然后根据卫星编队相对运动学,推导出了偏离状态与虚拟卫星编队构形参数之间的对应关系,并设计了以轨道参数超调、偏置及阈值触发为特征的管道保持控制策略。数值仿真结果表明,使用该控制策略能够将卫星轨道保持在以空间参考轨迹为中心的轨道管道内,并且有效减少了因周期性轨道摄动波动造成的管道保持控制量和控制频次。研究成果对于有空间轨迹回归要求的卫星轨道保持控制具有指导意义。     

刚体飞行器大角度机动的反馈非线性化控制

研究了刚体飞行器大角度的姿态控制问题,采用四元数描述刚体姿态,建立了刚体姿态运动的数学模型。基于反馈非线性化技术,通过构造李雅普诺夫函数推导出标量增益的线性控制律和矩阵增益的非线性控制律。两种控制律不需要知道系统参数,对模型误差具有鲁棒性。理论分析和仿真结果表明,所求控制律对闭环系统具有全局渐近稳定性。     

Decoupled ultimate boundedness control of systems and largeaircraft maneuver

The robust trajectory control of a class of nonlinear systems which can be decoupled by state-variable feedback is considered. It is assumed that the system matrices are unknown but bounded. A nonlinear control law is derived so that the tracking error in the closed-loop system is uniformly bounded and tends to a certain small neighborhood of the origin. The error dynamics are asymptotically decoupled in an approximate sense. The controller includes a reference trajectory generator and uses the integral feedback of the tracking error. On the basis of this result, a flight control system is designed for the control of roll angle, angle of attack, and sideslip in rapid, nonlinear maneuvers of aircraft. Simulation results are presented to show that large, simultaneous lateral and longitudinal maneuvers can be performed in spite of the uncertainty in the stability derivatives     

Dynamic analysis of spinning solar sails at deployment process

The spinning deployment process of solar sails is analyzed in this study.A simplified model is established by considering the out-of-plane and in-plane motions of solar sails.The influences of structure parameters,initial conditions,and feedback control parameters are also analyzed.A method to build the geometric model of a solar sail is presented by analyzing the folding process of solar sails.The finite element model of solar sails is then established,which contains continuous cables and sail membranes.The dynamics of the second-stage deployment of solar sails are simulated by using ABAQUS software.The influences of the rotational speed and out-of-plane movement of the hub are analyzed by different tip masses,initial velocities,and control parameters.Compared with the results from theoretical models,simulation results show good agreements.     

基于解析梯度的微推进转移轨道优化方法

 研究基于离散脉冲策略的行星际微推进转移轨道优化问题,为改善收敛性和计算效率,提出了一种解析的梯度矩阵计算方法。首先,基于离散脉冲思想建立了行星际微推进转移轨道优化模型,通过对速度脉冲矢量进行参数变换,避免了传统优化模型初值猜测和搜索域难以界定的缺点;然后,基于变分原理分析了离散脉冲模型中轨道状态转移矩阵与状态变分之间的关系,并给出了多种轨道特征条件下状态变分的计算方法,该方法可扩展到多次状态不连续情况;在此基础上,推导了离散脉冲轨道优化模型中性能指标与轨道约束对寻优参数梯度矩阵的解析表达式。以地球-火星的燃料最省微推进转移为例对所提解析梯度方法进行了仿真验证。数值结果表明：本文推导的解析梯度矩阵是正确的,与传统数值梯度计算方法相比,解析梯度矩阵可有效改善寻优算法的收敛特性,并能够提高计算效率约47%。     

基于对偶四元数的航天器相对位置和姿态耦合控制

针对交会对接、在轨服务等航天任务中存在的轨道和姿态动力学耦合问题,突破传统的轨道姿态分而治之模式,利用对偶四元数建立了相对位置和姿态的一体化耦合动力学模型,并分析了模型中存在的轨道和姿态耦合影响.针对此强耦合、非线性系统,基于对偶四元数的李群结构设计了误差PD（Proportional Derivative,比例微分）控制律,采用Lyapunov（李雅普诺夫）方法分析了控制系统的稳定性,并指出其相比传统的轨道和姿态分别控制方法更有优势.仿真结果表明,该控制方法能够一体化控制航天器的相对位置和姿态,相对位置控制精度在0.01m以内,相对姿态控制精度在0.05°以内,这表明所设计的控制器有效可行.     

空间多刚体系统编队及姿态的协同综合控制

针对由多个非线性系统组成的多子系统的协同控制问题,给出了一种基于输出反馈的协同控制律的设计方法,并将其应用于空间多个刚体的编队控制和姿态的协同控制系统中,给出了空间多刚体系统编队控制及姿态协同控制问题有解的充分条件,设计了多刚体编队及姿态稳定的协同综合控制律。仿真结果表明,这种控制方法是有效的、可行的,所设计的控制器能够使整个刚体系统在空间运行过程中保持一定的队形,并且同时稳定控制描述各个刚体系统姿态的四元数。     

基于Hamilton-Jacobi方程的编队飞行控制

 针对椭圆参考轨道的编队飞行控制系统,基于哈密尔顿 雅克比（Hamilton-Jacobi）方程,给出一种新的生成函数半解析近似解的计算方法,同时推导了编队飞行控制系统相对运动的线性状态转移矩阵,并且验证了模型的精度。在此基础上,结合一个具体的编队飞行任务,采用线性规划算法得到了队形保持的闭环控制器,该算法得到的是脉冲形式的控制序列,因此更具有实际意义。同时还提出了一种简单的避免生成函数奇异点的方法,从而减少了生成函数间相互转换所带来的计算量。最后的非线性仿真结果验证了控制方法的有效性。     

基于相对轨道要素的椭圆轨道卫星相对运动研究

采用球面几何方法,严格定义了相对轨道要素(ROE),推导了其与绝对轨道要素(AOE)之间精确的相互转换关系;针对近圆和椭圆基准轨道相对运动情况,给出相对轨道要素和绝对轨道要素之间相互转换的近似式,以满足不同任务的要求;分析了卫星近距离相对运动时相对轨道要素的一些特性;基于相对轨道要素,推导了无奇点问题的、适用于近圆和椭...     

Dynamical behaviors and relative trajectories of the spacecraft formation flying

To describe the relative motion of spacecraft formation flying, this paper presents a method based on relative orbital elements, which is suitable to elliptical orbit with arbitrary eccentricity. The long time formation flying conditions are theoretically derived taken into account the relationship between relative motion and relative orbital elements. These conditions include that both the orbital periods of all participating spacecrafts should be the same and other relative orbital elements should be small enough. The expected relative distance of the spacecrafts would determine the magnitudes of such relative orbital elements. Theoretical analysis and numerical simulation results show that the spacecrafts with sufficient small relative orbital elements can keep long time formation flying without any active control when the orbital perturbations are not considered. The results also show that Hill's equation is only suitable for describing a short time formation flying.     

Near minimum-time feedback attitude control with multiple saturation constraints for agile satellites

Agile satellites are of importance in modern aerospace applications,but high mobility of the satellites may cause them vulnerable to saturation during attitude maneuvers due to limited rating of actuators.This paper proposes a near minimum-time feedback control law for the agile satellite attitude control system.The feedback controller is formed by specially designed cascaded sub-units.The rapid dynamic response of the modified Bang–Bang control logic achieves the near optimal property and ensures the non-saturation properties on three-axis.To improve the dynamic performance,a model reference control strategy is proposed,in which the on-line near optimal attitude maneuver path is generated by the cascade controller and is then tracked by a nonlinear back-stepping controller.Furthermore,the accuracy and the robustness of the control system are achieved by momentum-based on-line inertial identification.The rapid attitude maneuvering can be applied for tasks including the move to move case.Numerical simulations are conducted to verify the effectiveness of the proposed control strategy in terms of the saturation-free property and rapidness.     

星座碰撞规避的迭代学习构型保持方法CSCD

针对低轨卫星星座运行中地球引力摄动的周期特性,基于迭代学习控制(ILC)方法,提出了星座碰撞规避的迭代学习构型保持方法。该方法由反馈控制和ILC两部分构成,分别抑制卫星运行过程中的非周期摄动和周期摄动对构型保持精度的影响,进而在地球非球形引力摄动未知条件下,通过相对构型的精确保持实现对星座卫星碰撞的有效规避。仿真结果表明,在地球J摄动影响下,与传统反馈控制相比,ILC方法以更小的控制输入实现了轨道保持精度的显著提升,进而在星座卫星轨道高度相近的情形下显著降低了碰撞风险,且控制器可在保证收敛性能的前提下,实现启动时间的灵活选择。     

绕飞监测小卫星姿轨联合自适应控制研究

针对小卫星近距操作过程中轨道和姿态控制问题,建立了小卫星相对轨道和姿态的误差动力学模型。采用相对轨道和姿态联合控制策略,并考虑小卫星作业过程中质量和转动惯量的不确定性,设计了自适应输出反馈控制律,并证明了其稳定性。最后以对圆轨道目标星近距离环航为例,根据作业任务和姿态指向要求,设计了小卫星相对轨道和姿态的期望运动,应用所提出的控制策略及相应的控制律进行了数值仿真。结果表明,系统跟踪误差能够较快收敛,说明了控制策略的有效性。     

机动飞行非线性解耦控制

给出了非线性解耦系统平衡点的计算公式。用微分几何控制理论研究了飞机非线性运动的 3种解耦运动模式,并用这 3种模式实现了 3种形式的敏捷性机动和直接升力控制的 3种基本模式,即 An,α1和α2 模式。计算结果表明,给出的 3种解耦模式能精确地实现这些运动模式。为飞机敏捷性和直接力控制问题提供了一种理论研究方法     

卫星编队队形保持非线性燃料次优控制

针对卫星编队飞行队形保持推导了一种利用相对轨道根数为反馈量的非线性燃料次优控制算法。该控制算法基于高斯型摄动方程采用Lyapunov控制,控制增益是时变的以便控制某轨道根数时对其余的轨道根数影响最小。这种控制算法接近于燃料最优,且可以调整增益系数来适应推力大小的不同情况。仿真结果表明,该控制方法是有效的,且相比其他的控制算法能够节省更多的燃料。     

Nonlinear Adaptive Robust Force Control of Hydraulic Load Simulator

This paper deals with the high performance force control of hydraulic load simulator. Many previous works for hydraulic force control are based on their linearization equations, but hydraulic inherent nonlinear properties and uncertainties make the conventional feedback proportional-integral-derivative control not yield to high-performance requirements. In this paper, a nonlinear system model is derived and linear parameterization is made for adaptive control. Then a discontinuous projection-based nonlinear adaptive robust force controller is developed for hydraulic load simulator. The proposed controller constructs an asymptotically stable adaptive controller and adaptation laws, which can compensate for the system nonlinearities and uncertain parameters. Meanwhile a well-designed robust controller is also developed to cope with the hydraulic system uncertain nonlinearities. The controller achieves a guaranteed transient performance and final tracking accuracy in the presence of both parametric uncertainties and uncertain nonlinearities; in the absence of uncertain nonlinearities, the scheme also achieves asymptotic tracking performance. Simulation and experiment comparative results are obtained to verify the high-performance nature of the proposed control strategy and the tracking accuracy is greatly improved.     

停靠阶段轨道姿态耦合动力学与控制研究

针对停靠阶段追踪飞行器轨道与姿态动力学和控制耦合问题，在两种控制律作用下进行了研究，给出了轨道动力学和姿态动力学模型以及四元素表示的资态运动学模型，所给出的一个仿真算例表明，所设计的控制律是有效的。     

航天器椭圆轨道自主交会的自适应学习控制策略

 提出了一种在缺少绝对轨道信息时的航天器椭圆轨道自主交会方法。利用Lawden方程描述椭圆轨道下的两星相对运动关系,并将方程中的时变参数单独归类。在假设这些时变参数无法得到的情况下,采用Lyapunov方法设计了椭圆轨道下自主交会的参数估计规则和自适应学习控制律。仿真结果表明,在只有相对状态信息的情况下,估计参数有效地跟踪了真实参数的变化,所设计的控制律能够实现椭圆轨道下航天器的自主交会。     

Dynamics modeling and control of a transport aircraft for ultra-low altitude airdrop

The nonlinear aircraft model with heavy cargo moving inside is derived by using the separation body method, which can describe the influence of the moving cargo on the aircraft attitude and altitude accurately. Furthermore, the nonlinear system is decoupled and linearized through the input–output feedback linearization method. On this basis, an iterative quasi-sliding mode(SM)flight controller for speed and pitch angle control is proposed. At the first-level SM, a global dynamic switching function is introduced thus eliminating the reaching phase of the sliding motion.At the second-level SM, a nonlinear function with the property of ‘‘smaller errors correspond to bigger gains and bigger errors correspond to saturated gains' ' is designed to form an integral sliding manifold, and the overcompensation of the integral term to big errors is weakened. Lyapunovbased analysis shows that the controller with strong robustness can reject both constant and time-varying model uncertainties. The performance of the proposed control strategy is verified in a maximum load airdrop mission.