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。     

多航天器反步滑模SO(3)协同控制

针对多航天器系统的姿态协同控制问题，基于特殊正交群(Special Orthogonal Group, SO(3))提出了滑模协同控制设计方法。结合有向通信拓扑，建立了多航天器SO(3)姿态模型。在此基础上研究了SO(3)上协同误差形式，提出了适用于协同控制器构造的SO(3)指令设计方法。为了解决姿态奇异问题，根据SO(3)姿态特性引入补偿项并设计了相应的滑模面，进一步采用反步法完成了SO(3)协同控制器设计，同时给出稳定性分析过程。提出的反步滑模方法保证了协同控制器在整个姿态空间内的适用性，使得多航天器系统能够实现稳定的姿态协同。文中采用两组多航天器系统仿真校验了所提协同方法的有效性。     

Attitude coordination for spacecraft formation with multiple communication delays

Communication delays are inherently present in information exchange between spacecraft and have an effect on the control performance of spacecraft formation. In this work, attitude coordination control of spacecraft formation is addressed, which is in the presence of multiple communication delays between spacecraft. Virtual system-based approach is utilized in case that a constant reference attitude is available to only a part of the spacecraft. The feedback from the virtual systems to the spacecraft formation is introduced to maintain the formation. Using backstepping control method, input torque of each spacecraft is designed such that the attitude of each spacecraft converges asymptotically to the states of its corresponding virtual system. Furthermore, the backstepping technique and the Lyapunov–Krasovskii method contribute to the control law design when the reference attitude is time-varying and can be obtained by each spacecraft. Finally, effectiveness of the proposed methodology is illustrated by the numerical simulations of a spacecraft formation.     

Aircraft-on-ground path following control by dynamical adaptive backstepping

The necessity of improving the air traffic and reducing the aviation emissions drives to investigate automatic steering for aircraft to effectively roll on the ground. This paper addresses the path following control problem of aircraft-on-ground and focuses on the task that the aircraft is required to follow the desired path on the runway by nose wheel automatic steering. The proposed approach is based on dynamical adaptive backstepping so that the system model does not have to be transformed into a canonical triangular form which is necessary in conventional backstepping design. This adaptive controller performs well despite the lack of information on the aerodynamic load and the tire cornering stiffness parameters. Simulation results clearly demonstrate the advantages and effectiveness of the proposed approach.     

Polynomial networks based adaptive attitude tracking control for NSVs with input constraints and stochastic noises

This paper proposes a backstepping technique and Multi-dimensional Taylor Polynomial Networks (MTPN) based adaptive attitude tracking control strategy for Near Space Vehicles (NSVs) subjected to input constraints and stochastic input noises. Firstly, considering the control input has stochastic noises, and the attitude motion dynamical model of the NSVs is actually modeled as the Multi-Input Multi-Output (MIMO) stochastic nonlinear system form. Furthermore, the MTPN is used to estimate the unknown system uncertainties, and an auxiliary system is designed to compensate the influence of the saturation control input. Then, by using backstepping method and the output of the auxiliary system, a MTPN-based robust adaptive attitude control approach is proposed for the NSVs with saturation input nonlinearity, stochastic input noises, and system uncertainties. Stochastic Lyapunov stability theory is utilized to analysis the stability in the sense of probability of the entire closed-loop system. Additionally, by selecting appropriate parameters, the tracking errors will converge to a small neighborhood with a tunable radius. Finally, the numerical simulation results of the NSVs attitude motion show the satisfactory flight control performance under the proposed tracking control strategy.     

基于有限时间稳定和Backstepping的直接力/气动力复合控制方法

针对采用直接力/气动力复合控制的导弹,研究其控制系统的设计问题。将直接力引入控制系统,在提高系统响应速度的同时,也使控制系统的结构复杂化。如何合理的设计控制方法,使得直接力和气动力能够协调工作、优势互补成为一个亟待解决的问题。针对气动舵控制回路,基于有限时间稳定理论,求解最短时间控制问题,得到一个具有良好特性的受控弹体;针对此受控弹体,基于Backstepping方法,研究直接力控制律,加快系统的响应速度。在整个控制系统设计过程中,通过“隐攻角”反馈对弹体进行增稳,进一步改善系统的响应品质,使控制系统达到“稳、准、快”的控制效果。仿真结果表明,复合控制系统的响应过程快速且平稳,验证了控制方法的有效性。     

Adaptive finite-time backstepping control for attitude tracking of spacecraft based on rotation matrix

This paper investigates two finite-time controllers for attitude control of spacecraft based on rotation matrix by an adaptive backstepping method. Rotation matrix can overcome the draw- backs of unwinding which makes a spacecraft perform a large-angle maneuver when a small-angle maneuver in the opposite rotational direction is sufficient to achieve the objective, With the use of adaptive control, the first robust finite-time controller is continuous without a chattering phenom- enon. The second robust finite-time controller can compensate external disturbances with unknown bounds. Theoretical analysis shows that both controllers can make a spacecraft following a time-varying reference attitude signal in finite time and guarantee the stability of the overall closed-loop system. Numerical simulations are presented to demonstrate the effectiveness of the proposed control schemes.     

High precision attitude dynamic tracking control of a moving space target

On-orbit spacecraft face many threats, such as collisions with debris or other spacecraft.Therefore, perception of the surrounding space environment is vitally important for on-orbit spacecraft.Spacecraft require a dynamic attitude tracking ability with high precision for such missions.This paper aims to address the above problem using an improved backstepping controller.The tracking mission is divided into two phases: coarse alignment and fine alignment.In the first phase,a traditional saturation controller is utilized to limit the maximum attitude angular velocity according to the actuator's ability.For the second phase, the proposed backstepping controller with different virtual control inputs is applied to track the moving target.To fulfill the high precision attitude tracking requirements, a hybrid attitude control actuator consisting of a Control Moment Gyro(CMG) and Reaction Wheel(RW) is constructed, which can simultaneously avoid the CMG singularity and RW saturation through the use of an angular momentum optimal management strategy, such as null motion.Finally, five simulation scenarios were carried out to demonstrate the effectiveness of the proposed control strategy and hybrid actuator.     

近空间高超声速飞行器输入饱和抑制模糊自适应控制

针对近空间高超声速飞行器三通道姿态跟踪控制问题,提出了一种基于输入饱和抑制的非线性模糊自适应滑模控制器。考虑到飞行器模型具有严格反馈形式的特点,以反步法为基础,结合非奇异快速Terminal滑模方法设计控制器。设计了模糊系统估计模型中的干扰项,并通过自适应鲁棒项补偿估计误差,引入非线性增益函数提高控制系统的饱和抑制能力,并基于Lyapunov理论证明了闭环系统的稳定性。最后,通过仿真对比实验验证方法的有效性。仿真结果表明,所设计的控制器能够保证飞行控制系统在存在模型参数不确定性的情况下具有良好的姿态跟踪性能和输入饱和抑制能力。     

Spacecraft attitude maneuver control using two parallel mounted 3-DOF spherical actuators

A parallel configuration using two 3-degree-of-freedom (3-DOF) spherical electromag-netic momentum exchange actuators is investigated for large angle spacecraft attitude maneuvers. First, the full dynamic equations of motion for the spacecraft system are derived by the Newton-Euler method. To facilitate computation, virtual gimbal coordinate frames are established. Second, a nonlinear control law in terms of quaternions is developed via backstepping method. The pro-posed control law compensates the coupling torques arising from the spacecraft rotation, and is robust against the external disturbances. Then, the singularity problem is analyzed. To avoid sin-gularities, a modified weighed Moore-Pseudo inverse velocity steering law based on null motion is proposed. The weighted matrices are carefully designed to switch the actuators and redistribute the control torques. The null motion is used to reorient the rotor away from the tilt angle saturation state. Finally, numerical simulations of rest-to-rest maneuvers are performed to validate the effec-tiveness of the proposed method.