含不确定性的绳系卫星姿态的鲁棒最优控制

针对绳长变化的旋转二体绳系卫星姿态跟踪控制问题,提出了一种分布式鲁棒最优控制方法。首先针对单体绳系卫星姿态模型,在假设模型精确和不存在干扰的条件下,设计基于HamiltonJacobiBellman方程的最优控制器;进一步考虑到实际系统存在参数不确定性和干扰,采用自适应方法和鲁棒误差积分方法隐式学习参数不确定性和有界干扰,与最优控制器结合设计鲁棒最优控制器,并应用Lyapunov稳定性定理证明其闭环系统的渐近稳定性。其次,根据绳系卫星系统的运动同步性,将单体绳系卫星姿态控制器设计扩展至二体绳系卫星系统,设计二体绳系卫星姿态系统的分布式鲁棒最优控制器。最后在Matlab/Simulink平台上进行仿真验证,结果表明了所设计控制器的可行性与有效性。     

基于空间距离的快速稳健子空间跟踪方法

从空间距离的角度分析子空间跟踪问题,提出了一种新的子空间跟踪算法。提出的算法同时适用于信号和噪声子空间跟踪,而复杂度仅为3NL+O(N)。仿真表明算法对基的正交偏离稳健,对舍入误差不敏感,是一种快速稳健的子空间跟踪算法。     

航天器椭圆轨道自主交会的鲁棒滑模控制

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。用Lawden方程描述椭圆轨道的两星相对运动关系,将方程中的时变参数单独归类。在时变参数无法获知时,视其为不确定量,构成不确定系统。用不确定系统的鲁棒滑模控制方法设计了椭圆轨道自主交会的控制律,并证明了不确定系统为渐进稳定。仿真结果表明:在仅有相对状态信息条件下,设计的控制律能实现椭圆轨道航天器的自主交会。     

考虑推进和气动弹性影响的高超飞行器的建模与控制

针对高超声速飞行器飞行的速度和高度跨度大、变化快,飞行动力学特性复杂;模型具有非线性,强耦合及不确定性的特点,建立了考虑推进及弹性影响的纵向模型,并提出了纵向模型的鲁棒协调控制器设计方法。该方法在典型高超声速飞行器几何结构基础上,针对机体/发动机一体化设计布局,结合高超声速气动力学和气动弹性有关理论,建立非线性纵向模型;通过分析模型的不确定性来源,对刚体-弹性耦合系统设计了基于线性二次型调节器的隐式模型跟随鲁棒协调控制器,从而保证飞行器在不确定干扰情况下的闭环系统稳定性。仿真结果表明,本方法所设计的控制器在给定的不确定性范围内具有良好的鲁棒性。
     

磁悬浮飞轮转子系统的快速Terminal滑模控制

针对磁悬浮飞轮(MSFW)高精度控制的要求,提出了磁悬浮飞轮转子的快速Terminal滑模控制(FTSMC)以实现其鲁棒控制。建立了MSFW动力学方程,对MSFW受控自由度引入交叉反馈设计实现了各自由度解耦,分析并选取了三阶非线性微分跟踪器得到所需的微分信号,设计了快速Terminal滑模控制器,并利用Lyapunov函数证明了该控制系统的稳定性。仿真结果表明,与采用普通滑模控制相比,该控制系统具有状态响应快、系统状态在设定时间内迅速收敛以及抖振小等特点。     

Robust LPV modeling and control of aircraft flying through wind disturbance

This article deals with the disturbance attenuation control of aircraft flying through wind shear via Linear Parameter Varying(LPV) modeling and control method. A Flight Dynamics Model(FDM) with wind shear effects considered was established in wind coordinate system. An LPV FDM was built up based on function substitution whose decomposing function was optimized by Genetic Algorithm(GA). The wind disturbance was explicitly included in the system matrix of LPV FDM. Taking wind disturbance as external uncertainties, robust LPV control method with the LPV FDM was put forward. Based on ride quality and flight safety requirements in wind disturbance, longitudinal and lateral output feedback robust LPV controllers were designed respectively,in which the scheduling flight states in LPV model were actually dependent parameters in LPV control. The results indicate that LPV FDM can reflect the instantaneous dynamics of nonlinear system especially at the boundary of aerodynamic envelope. Furthermore, the LPV FDM also can approach nonlinear FDM's response in wind disturbance special flight. Compared with a parameter-invariant LQR controller designed with a small-disturbance FDM, the LPV controllers show preferable robustness and stability for disturbance attenuation.     

Improved robust Kalman filter for state model errors in GNSS-PPP/MEMS-IMU double state integrated navigation

The integration of Global Navigation Satellite System (GNSS) with Inertial Navigation Systems (INS) has been actively researched and widely applied as it can provide reliable positioning information continuously. In recent years, Micro Electro Mechanical Systems (MEMS) technology achieves rapid development and Micro Electro Mechanical Systems and Inertial Measurement Unit (MEMS-IMU) has aroused wide concern due to its excellent properties in some cases. However, the observations from MEMS-IMU are easy to be influenced by motion state and location environment because of its manufacturing process. It is not easy to judge whether gross errors are in the state model or the observation model by the widely adopted robust filter based on innovation. In this contribution, we present an improved robust filter with a double state model on the basis of the chi-square distribution of the square of the Mahalanobis distance. The vehicle motion model acts as the external constraint information and can be adopted to construct robust statistic with the results from INS mechanization. And then a robust factor was determined to adjust the observation noise covariance matrix. To evaluate the performance of this method, the simulation test and the field test based on locomotive platform of Nottingham Geospatial Institute (NGI) were carried out. According to the results, in the simulation test, the position improvements are 33%, 30% in the north and east directions; in the real test, the loosely and tightly coupled was adopted and the position accuracy can be improved by about 50–60% in the horizontal direction and the improvement of the pitch and the roll accuracy was lower than the azimuth accuracy due to poor observability and experimental scene which is of the characteristics of small elevation change. Therefore, the proposed robust filter could diminish the effect of the gross error from MEMS-IMU and enhance the integrated system.     

应用跟踪微分器的高超声速飞行器的反演控制

针对存在参数摄动和外部干扰等不确定性的高超声速飞行器模型，提出一种基于新型跟踪微分器的鲁棒反演控制方法。利用正切sigmoid函数和终端吸引子函数设计跟踪微分器，通过扫频测试得到了参数整定规则，并进行了对比仿真试验。在此基础上，构造一种非线性干扰观测器对模型的不确定项进行估计，增强了控制器的鲁棒性；并利用所设计的跟踪微分器对虚拟控制量进行滤波处理，解决了传统反演控制的“微分项膨胀”问题。最后，通过仿真校验了所设计控制器的有效性。     

Performance limitations in trajectory tracking control for air-breathing hypersonic vehicles

An integrated approach that considers the performance limitations of tracking control systems for air-breathing hypersonic vehicles is proposed. First, a set of ascent trajectories is obtained as candidates for tracking control through a trajectory design method that considers the available acceleration. Second, the basic theory of performance limitations, which is adopted to calculate the limits on control performance through the trajectory, is integrated. The open-loop dynamics of air-breathing hypersonic vehicles is responsible for these limits on the control system. Comprehensive specifications on stability, tracking accuracy, and robustness are derived, and the flight envelope with constraints and control specifications is identified. Simulation results suggest that trajectory design should consider restrictions on control performance to obtain reliable solutions.     

Robust fault-tolerant saturated control for spacecraft proximity operations with actuator saturation and faults

In this paper, the motion control problem of autonomous spacecraft rendezvous and docking with a tumbling target in the presence of unknown model parameters, external disturbances, actuator saturation and faults is investigated. Firstly, a nonlinear six degree-of-freedom dynamics model is established to describe the relative motion of the chaser spacecraft with respect to the tumbling target. Subsequently, a robust fault-tolerant saturated control strategy with no precise knowledge of model parameters and external disturbances is proposed by combining the sliding mode control technique with an adaptive methodology. Then, within the Lyapunov framework, it is proved that the designed robust fault-tolerant controller can guarantee the relative position and attitude errors converge into small regions containing the origin. Finally, numerical simulations are performed to demonstrate the effectiveness and robustness of the proposed control strategy.