Robust fault-tolerant attitude control for satellite with multiple uncertainties and actuator faults

In this paper, the satellite attitude control system subject to parametric perturbations, external disturbances, time-varying input delays, actuator faults and saturation is studied. In order to make the controller architecture simple and practical, the closed-loop system is transformed into a disturbance-free nominal system and an equivalent disturbance firstly. The equivalent disturbance represents all above uncertainties and actuator failures of the original system. Then a robust controller is proposed in a simple composition consisting of a nominal controller and a robust compensator. The nominal controller is designed for the transformed nominal system. The robust compensator is developed from a second-order filter to restrict the influence of the equivalent disturbance. Stability analysis indicates that both attitude tracking errors and compensator states can converge into the given neighborhood of the origin in finite time. To verify the effectiveness of the proposed control law, numerical simulations are carried out in different cases. Presented results demonstrate that the high-precision attitude tracking control can be achieved by the proposed fault-tolerant control law. Furthermore, multiple system performances including the control accuracy and energy consumption index are fully discussed under a series of compensator parameters.     

基于自适应动态规划的运载火箭智能姿态容错控制

针对运作火箭主动段发动机摆动执行机构故障下的姿态控制问题,结合自适应动态规划（ADP）方法设计了一种智能容错控制策略。该智能容错控制器主要包括2部分：容错稳定控制部分和优化补偿部分。容错稳定控制部分利用自适应和滑模变结构控制设计,主要维持执行机构故障下姿态控制系统的稳定,保证姿态跟踪误差的有限时间收敛;优化补偿部分采用执行-评价结构,利用ADP的在线学习优势,根据姿态系统的跟踪误差（尤其是系统故障、强干扰导致的跟踪偏差）,设计ADP算法产生补偿控制来进一步优化姿态控制系统的跟踪性能。仿真验证表明,即使存在外部干扰和执行机构故障的情况下,所提方法仍能保证系统稳定且精确跟踪指令信号。     

Acceleration tracking control for a spinning glide guided projectile with multiple disturbances

A novel acceleration tracking controller is proposed in this paper, for a Spinning Glide Guided Projectile (SGGP) subject to cross-coupling dynamics, external disturbances, and parametric uncertainties. The cross-coupled dynamics for the SGGP are formulated with mismatched and matched uncertainties, and then divided into acceleration and angular rate subsystems via the hierarchical principle. By exploiting the structural property of the SGGP, model-assisted Extended State Observers (ESOs) are designed to estimate online the lumped disturbances in the acceleration and angular rate dynamics. To achieve a rapid response and a strong robustness, integral sliding mode control laws and sigmoid-function-based tracking differentiators are integrated into the ESO-based Trajectory Linearization Control (TLC) framework. It is proven that the acceleration tracking controller can guarantee the ultimate boundedness of the signals in the closed-loop system and make the tracking errors arbitrarily small. The superiority and effectiveness of the proposed control scheme in its decoupling ability, accurate acceleration tracking performance and anti-disturbance capability are validated through comparisons and extensive simulations.     

Observer-based adaptive sliding mode backstepping output-feedback DSC for spin-stabilized canard-controlled projectiles

This article presents a complete nonlinear controller design for a class of spin-stabilized canard-controlled projectiles.Uniformly ultimate boundedness and tracking are achieved,exploiting a heavily coupled,bounded uncertain and highly nonlinear model of longitudinal and lateral dynamics.In order to estimate unmeasurable states,an observer is proposed for an augmented multiple-input-multiple-output(MIMO) nonlinear system with an adaptive sliding mode term against the disturbances.Under the frame of a backstepping design,an adaptive sliding mode output-feedback dynamic surface control(DSC) approach is derived recursively by virtue of the estimated states.The DSC technique is adopted to overcome the problem of ‘‘explosion of complexity" and relieve the stress of the guidance loop.It is proven that all signals of the MIMO closed-loop system,including the observer and controller,are uniformly ultimately bounded,and the tracking errors converge to an arbitrarily small neighborhood of the origin.Simulation results for the observer and controller are provided to illustrate the feasibility and effectiveness of the proposed approach.     

Robust attitude coordinated control for spacecraft formation with communication delays

In this paper,attitude coordinated tracking control algorithms for multiple spacecraft formation are investigated with consideration of parametric uncertainties,external disturbances,communication delays and actuator saturation.Initially,a sliding mode delay-dependent attitude coordinated controller is proposed under bounded external disturbances.However,neither inertia uncertainty nor actuator constraint has been taken into account.Then,a robust saturated delay dependent attitude coordinated control law is further derived,where uncertainties and external disturbances are handled by Chebyshev neural networks (CNN).In addition,command filter technique is introduced to facilitate the backstepping design procedure,through which actuator saturation problem is solved.Thus the spacecraft in the formation are able to track the reference attitude trajectory even in the presence of time-varying communication delays.Rigorous analysis is presented by using Lyapunov-Krasovskii approach to demonstrate the stability of the closed-loop system under both control algorithms.Finally,the numerical examples are carried out to illustrate the efficiency of the theoretical results.     

Reconfigurable fault-tolerant control for supersonic missiles with actuator failures under actuation redundancy

Aircraft undergoing actuator failures into under-actuation have been seldom studied in literature. Aiming at addressing actuator failures of Total Loss of Effectiveness (TLOE) as well as Partial Loss of Effectiveness (PLOE) resulting in different system actuations, reconfigurable Fault-Tolerant Control (FTC) is proposed for supersonic wingless missiles under actuation redundancy. The under-actuated system of TLOE failure patterns is solved by transformation to cascade systems through a ‘shape variable’. Meanwhile, actuator TLOE faults of different unknown failure patterns from proper actuation to under-actuation are accommodated by a reconfigurable adaptive law on a multiple-model basis. The backstepping technique with the Extended State Observer (ESO) method adopted as a basic strategy is applied to an established symmetric coupled missile system with actuator PLOE faults, modeling errors, and external disturbances. Additionally, the nonlinear saturation characteristics of actuators are settled by an auxiliary system with the Nussbaum function technique. The stability of the control system is analyzed and proven through Lyapunov theory. Numerical simulations are implemented in the presences of aerodynamic uncertainties, gust disturbance, and actuator failures. Results demonstrate the effectiveness of the proposed method with satisfactory tracking performance and actuator fault tolerance capacity.     

航天器自适应快速非奇异终端滑模容错控制

针对存在外部干扰、转动惯量矩阵不确定、控制器饱和以及执行器故障的航天器姿态跟踪控制问题,提出了基于自适应快速非奇异终端滑模的有限时间收敛控制方案。通过引入能够避免奇异点的具有有限时间收敛特性的快速非奇异终端滑模面,设计了满足多约束的有限时间姿态跟踪容错控制器,并利用参数自适应方法使控制器设计不依赖于系统惯量信息和外部干扰的上界。此外,所设计的控制器显式考虑了执行器输出力矩的饱和幅值特性,使航天器在饱和幅值的限制下完成姿态跟踪控制任务,并且无须进行在线故障估计。Lyapunov稳定性分析表明：在外部干扰、转动惯量矩阵不确定、控制器饱和以及执行器故障等约束条件下,所设计的控制器能够保证闭环系统的快速收敛性,而且对控制器饱和与执行器故障具有良好的容错性能。数值仿真校验了该控制器在姿态跟踪控制中的优良性能。     

可重复使用飞行器的保性能姿态跟踪控制方法

针对可重复使用飞行器再入姿态跟踪控制问题,在考虑执行器饱和、气动参数摄动和外部扰动的情况下,提出了一种保性能姿态跟踪控制方案。通过构造预设性能函数,使姿态跟踪误差在预先设置的包络内演化,保证了系统的瞬态和稳态性能;其次,借助于高增益扩张状态观测器解决了气动参数摄动和外部扰动的问题;之后,基于反步控制框架,设计了一种低复杂度的输出反馈扰动补偿控制方法,保证跟踪误差的收敛性。与已有方法相比,所设计的方法不包含一些复杂的非线性动力学近似技术,如神经网络等,降低了参数调节的复杂性,且无需对虚拟控制律重复微分,避免了"微分爆炸"问题。同时,Lyapunov稳定性分析表明,该方法能够保证误差变量的预期收敛以及其他闭环系统信号的有界性。最后,通过对比仿真验证了所提方法的有效性及可行性。     

Adaptive Fuzzy Torque Control of Passive Torque Servo Systems Based on Small Gain Theorem and Input-to-state Stability

Passive torque servo system (PTSS) simulates aerodynamic load and exerts the load on actuation system, but PTSS endures position coupling disturbance from active motion of actuation system, and this inherent disturbance is called extra torque. The most important issue for PTSS controller design is how to eliminate the influence of extra torque. Using backstepping technique, adaptive fuzzy torque control (AFTC) algorithm is proposed for PTSS in this paper, which reflects the essential characteristics of PTSS and guarantees transient tracking performance as well as final tracking accuracy. Takagi-Sugeno (T-S) fuzzy logic system is utilized to compensate parametric uncertainties and unstructured uncertainties. The output velocity of actuator identified model is introduced into AFTC aiming to eliminate extra torque. The closed-loop stability is studied using small gain theorem and the control system is proved to be semiglobally uniformly ultimately bounded. The proposed AFTC algorithm is applied to an electric load simulator (ELS), and the comparative experimental results indicate that AFTC controller is effective for PTSS.     

Motion synchronization in a dual redundant HA/EHA system by using a hybrid integrated intelligent control design

This paper presents an integrated fuzzy controller design approach to synchronize a dis-similar redundant actuation system of a hydraulic actuator (HA) and an electro-hydrostatic actu-ator (EHA) with system uncertainties and disturbances. The motion synchronous control system consists of a trajectory generator, an individual position controller for each actuator, and a fuzzy force tracking controller (FFTC) for both actuators. The trajectory generator provides the desired motion dynamics and designing parameters of the trajectory which are taken according to the dynamic characteristics of the EHA. The position controller consists of a feed-forward controller and a fuzzy position tracking controller (FPTC) and acts as a decoupled controller, improving posi-tion tracking performance with the help of the feed-forward controller and the FPTC. The FFTC acts as a coupled controller and takes into account the inherent coupling effect. The simulation results show that the proposed controller not only eliminates initial force fighting by synchronizing the two actuators, but also improves disturbance rejection performance.     

Attitude tracking control for variable structure near space vehicles based on switched nonlinear systems

An adaptive robust attitude tracking control law based on switched nonlinear systems is presented for a variable structure near space vehicle (VSNSV) in the presence of uncertainties and disturbances. The adaptive fuzzy systems are employed for approximating unknown functions in the flight dynamic model and their parameters are updated online. To improve the flight robust performance, robust controllers with adaptive gains are designed to compensate for the approximation errors and thus they have less design conservation. Moreover, a systematic procedure is developed for the synthesis of adaptive fuzzy dynamic surface control (DSC) approach. According to the common Lyapunov function theory, it is proved that all signals of the closed-loop system are uniformly ultimately bounded by the continuous controller. The simulation results demonstrate the effectiveness and robustness of the proposed control scheme.     

超低空空投航迹倾角自适应跟踪控制

针对超低空空投下滑阶段考虑执行器输入死区、不确定性大气扰动以及模型存在未知非线性等因素干扰轨迹精确跟踪等问题,提出了一种自适应神经网络动态面跟踪控制方法.建立了含执行器输入死区的超低空空投载机纵向非线性模型,采用神经网络逼近模型中未知非线性函数,引入非线性鲁棒补偿项消除了执行器死区建模误差和外界扰动.应用Lyapunov稳定性理论证明了闭环系统所有信号均是有界收敛的.仿真验证表明,所提方法既保证了轨迹跟踪的精确性,又具有强鲁棒性.     

Variational method based robust adaptive control for a guided spinning rocket

In this paper, a robust adaptive controller is designed for a guided spinning rocket, whose dynamics presents the characteristics of pitch-yaw cross coupling, fast time-varying aerodynamics parameters and wide flight envelop. First, a coupled nonlinear six-degree-of-freedom equation of motion for a guided spinning rocket is developed, and the lateral acceleration motion is modeled as a control plant with time-varying matched uncertainties and unmodeled dynamics. Then, a robust adaptive control method is proposed by combining Bregman divergence and variational method to achieve fast adaption and maintain bounded tracking. The stability of the resulting closed-loop system is proved, and the ultimate bound and convergence rate are also analyzed. Finally, numerical simulations are performed for a single operating point and the whole flight trajectory to show the robustness and adaptability of the proposed method with respect to time-varying uncertainties and unmodeled dynamics.     

Fuzzy adaptive tracking control within the full envelope for an unmanned aerial vehicle

Motivated by the autopilot of an unmanned aerial vehicle（UAV） with a wide flight envelope span experiencing large parametric variations in the presence of uncertainties, a fuzzy adaptive tracking controller（FATC） is proposed. The controller consists of a fuzzy baseline controller and an adaptive increment, and the main highlight is that the fuzzy baseline controller and adaptation laws are both based on the fuzzy multiple Lyapunov function approach, which helps to reduce the conservatism for the large envelope and guarantees satisfactory tracking performances with strong robustness simultaneously within the whole envelope. The constraint condition of the fuzzy baseline controller is provided in the form of linear matrix inequality（LMI）, and it specifies the satisfactory tracking performances in the absence of uncertainties. The adaptive increment ensures the uniformly ultimately bounded（UUB） predication errors to recover satisfactory responses in the presence of uncertainties. Simulation results show that the proposed controller helps to achieve high-accuracy tracking of airspeed and altitude desirable commands with strong robustness to uncertainties throughout the entire flight envelope.     

侧向自动着舰引导控制L1自适应设计

针对具有不确定性及外部干扰的着舰轨迹精确跟踪控制问题,提出了一种对侧向自动着舰引导控制内外回路进行综合化设计的方法.使用特征结构配置实现侧向模态解耦跟踪控制,同时设计L1自适应控制器以补偿系统由于不确定性、舵面故障、舰尾流干扰带来的不利影响,将其应用到侧向自动着舰控制系统.仿真结果表明,对内外回路进行综合设计的着舰引导控制律具有抑制不确定性及干扰的能力,能够实现对侧向自动着舰轨迹的精确跟踪控制.     

基于后退设计的空间机器人系统的自适应控制

 结合后退设计方法和自适应控制理论，对载体姿态可控的空间机器人系统提出了一种自适应跟踪控制算法。当系统的惯性参数未知时，该算法可以保证空间机器人的手端跟踪误差渐近趋于零。和已有的算法相比，所提出的算法可以消除Lyapunov函数导数表达式中的交叉项，明显改善系统的跟踪性能。对平面两关节空间机器人的仿真结果证实了算法的有效性。     

带有执行器约束条件的模糊自适应反步控制

针对高超声速飞行器在飞行控制过程中存在外界干扰以及考虑执行器的动态特性等问题,结合飞行器纵向模型的特点,考虑舵的动态特性,分别设计了基于动态逆的速度控制器和基于指令滤波器采用Backstepping控制方法的高度控制器。模糊自适应系统用来在线辨识飞行器模型由于气动参数的变化而引起的不确定性。运用Lyapunov理论分析闭环系统的稳定性,证明了包含跟踪误差在内的所有信号满足半全局一致稳定。最后通过仿真对控制器的控制效果进行验证,得到了较为满意的控制效果。     

Robust adaptive compensation control for unmanned autonomous helicopter with input saturation and actuator faults

This paper studies a robust adaptive compensation Fault Tolerant Control(FTC) for the medium-scale Unmanned Autonomous Helicopter(UAH) in the presence of external disturbances,actuator faults and input saturation.To improve the disturbance rejection capacity of the UAH system in actuator healthy case, an adaptive control method is adopted to cope with the external disturbances and a nominal controller is proposed to stabilize the system.Meanwhile, compensation control inputs are designed to reduce the negative effects derived from actuator faults and input saturation.Based on the backstepping control and inner-outer loop control technologies, a robust adaptive FTC scheme is developed to guarantee the tracking errors convergence.Under the presented FTC controller, the uniform ultimate boundedness of all closed-loop signals is ensured via Lyapunov stability analysis.Simulation results demonstrate the effectiveness of the proposed control algorithm.     

Application of sliding-mode control to air-air interception problem

A sliding-mode control (SMC) law is applied to a nonlinear system representing an air-air missile-target interception process. Promising results are obtained for a simple switching surface based on proportional navigation (PN). Partial robustness of the controller is demonstrated, i.e. the control is robust only with respect to uncertainties present in the control dynamics. This is illustrated by a breakdown in the control actuator for which SMC was found to be superior to PN     

考虑进气约束的高超声速飞行器预定性能控制

针对高超声速飞行器跟踪误差瞬态性能约束与发动机进气条件约束问题,提出约束预定性能控制方案。首先,设计新型设定时间性能函数用于限定跟踪误差的瞬态与稳态性能。相比传统方法,新型方案可保证性能函数在设定时刻精确收敛至稳态值,同时可灵活调整函数初始收敛速率,避免控制饱和。其次,将速度与高度受约束跟踪误差进行无约束转换,通过控制转化误差有界满足原始跟踪误差的预定性能约束。在高度子系统中,通过结合预定性能控制限定攻角变化范围,能够满足发动机进气需求。最后,以考虑参数摄动的吸气式高超声速飞行器为对象执行对比仿真,结果表明所提方法能够有效满足跟踪误差的性能约束与发动机进气约束。