一类非线性系统的神经网络自适应控制

针对一类单输入单输出不确定非仿射型非线性系统,基于多层神经网络提出了一种直接自适应控制方法。该设计方法首先应用多层神经网络自适应模拟逼近逆解中的未知部分,然后应用逆设计和自适应反演设计出虚拟控制量,最后应用反馈线性化设计方法和神经网络设计了直接自适应控制律。并利用Lyapunov稳定性定理推导了神经网络的参数调节律,保证了闭环系统的所有信号均最终一致有界。     

Nonlinear adaptive spacecraft attitude control using solar radiation pressure

Spacecraft and interplanetary probes orbiting at high altitudes experience forces due to solar radiation pressure, which can be used for maneuvering. The question of large angle pitch attitude maneuvers of satellites using solar radiation torque is considered. For pitch axis maneuver, two highly reflective control surfaces are used to generate radiation moment. The solar radiation moment is a complex nonlinear function of the attitude and parameters of the satellite, the orbital parameters, and the deflection angles of the reflective control surfaces. It is assumed that the parameters of the satellite model are unknown. Based on a backstepping design technique, a nonlinear adaptive control law is derived for the control of the pitch angle. In the closed-loop system, the pitch angle asymptotically tracks prescribed reference trajectories. Simulation results are presented to show that the adaptive control system accomplishes attitude control of the satellite in spite of the parameter uncertainties in the system.     

RFNN control for PMLSM drive via backstepping technique

A robust fuzzy neural network (RFNN) control system is proposed in this study to control the position of the mover of a permanent magnet linear synchronous motor (PMLSM) drive system to track periodic reference trajectories. First, an ideal feedback linearization control law is designed based on the backstepping technique. Then, a fuzzy neural network (FNN) controller is designed to be the main tracking controller of the proposed RFNN control system to mimic an ideal feedback linearization control law, and a robust controller is proposed to confront the shortcoming of the FNN controller. Moreover, to relax the requirement for the bound of uncertainty term, which comprises a minimum approximation error, optimal parameter vectors and higher order terms in Taylor series, an adaptive bound estimation is investigated where a simple adaptive algorithm is utilized to estimate the bound of uncertainty. Furthermore, the simulated and experimental results due to periodic reference trajectories demonstrate that the dynamic behaviors of the proposed control systems are robust with regard to uncertainties.     

高超声速飞行器自适应反步控制器设计

针对含有不确定干扰项的吸气式高超声速飞行器模型,分别设计了基于反馈线性化的速度控制器和基于反步法的航迹控制器,以实现对速度和航迹角参考信号的稳定跟踪。通过指令滤波器得到俯仰角的实际跟踪指令及其一阶、二阶微分信号,可直接设计升降舵控制指令,在解决了虚拟控制量求导"复杂性爆炸"问题的同时,减少了反推计算步数,从而达到提高系统动态性能和优化控制器结构的目的。基于LaSalle不变集原理和Lyapunov理论设计的自适应更新律保证了系统的稳定性。仿真结果表明,所设计的控制器在飞行器存在不确定干扰的情况下仍能满足对参考信号跟踪性能的要求。     

考虑驾驶仪动态特性的固定时间收敛制导律

针对打击机动目标的制导问题,设计了一种同时考虑攻击角度约束、自动驾驶仪动态特性和固定时间收敛的新型制导律。首先,基于非奇异终端滑模控制和固定时间稳定性理论,采用反步递推方法设计制导律。在制导律设计过程中,设计了一种固定时间收敛的非奇异终端滑模面,基于固定时间控制和滑模控制,设计虚拟控制律,构造一种非线性一阶滤波器解决传统反步设计中的"微分膨胀"问题。基于超螺旋算法和固定时间稳定性理论,设计了一种固定时间收敛的滑模干扰观测器,用于估计目标机动等干扰。然后,基于Lyapunov稳定性理论,对制导律的固定时间稳定性进行了证明,并给出了收敛时间的表达式。最后,通过仿真分析,验证了所提制导律的有效性,和现有制导律相比,所提制导律具有较高的制导精度和角度约束精度、较快的系统收敛速度以及较少的能量消耗。     

卫星姿态跟踪系统的鲁棒控制器设计

研究了具有参数不确定性和外部干扰的卫星姿态跟踪控制问题。针对这一类多输入／多输出不确定非线性系统，提出了一个基于不确定项上界的鲁棒输出跟踪控制器设计方法。应用输入／输出反馈线性化法和李亚普诺夫方法，设计了一个控制律，它可确保系统输出按指数规律跟踪期望输出。该控制器计算简单，易于实现。仿真结果表明：即使系统存在不确定性，仍可在闭环系统中实现精确的姿态控制。     

考虑预设性能约束的运输机姿态容错控制

针对运输机舵面故障情况下的姿态容错控制问题,提出了一种考虑预设性能约束的自适应指令滤波增量反步(Adaptive Command-filtered Incremental Backstepping,ACFIBS)容错控制器。首先,构造运输机故障模型,在反步控制设计结构下,通过构造预设性能函数,保证外回路姿态角跟踪误差的动态性能。然后,考虑舵机偏转速率和幅值限制,引入受限指令滤波器和补偿信号,综合考虑气动参数不确定性,采用增量方法设计反步内环控制律。在此基础上,进一步考虑舵面故障情况,引入自适应方法及低通滤波器改进增量反步控制器。最后,通过理论推导和仿真试验验证了控制方法的有效性。仿真结果表明,所设计的控制器具有良好的容错性能,在不同舵面故障条件下均可实现对指令信号的预设性能跟踪,且在参数摄动情况下具有较强的鲁棒性。     

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.     

挠性航天器的退步直接自适应姿态跟踪控制

针对参数不确定的挠性航天器姿态跟踪控制问题,提出了一种退步直接自适应控制算法。首先验证了挠性航天器动力学子系统的近似严格正实性,并设计了具有理想控制性能的参考模型;然后对以姿态四元数描述的运动学子系统设计常系数输出反馈中间控制律,使航天器姿态四元数输出渐近跟踪参考模型输出;最后退一步,对具有参数不确定特性的动力学子系统,基于非线性直接自适应控制理论和Lyapunov稳定性理论,设计了退步直接自适应姿态跟踪控制器,并证明了闭环系统的稳定性。仿真结果表明,所提控制方法能有效抑制挠性附件的振动,对挠性航天器的控制是有效的。     

非线性变结构解耦控制及对再入飞行器的应用

讨论了一类非线性系统的变结构解耦控制在再入飞行器的应用,变结构解耦控制号输入输出线性比相结合得到的控制规律,可对象模型的不确定有鲁棒性,对于再入飞行器再入段存在的多变量非线性和参数不确定,应用了相应的变结构解耦控制的方法,讨论了其滑模面的构造方法和解耦控制条件,在姿态控制中保证了姿态跟踪期望值,在轨迹跟踪中,设计了内外回路在控制律,内回路运用变结构解耦控制保持姿态稳定,外回路通过设计比例微分控制保     

基于控制力矩陀螺的BTT飞行器协调转弯控制

针对倾斜转弯(BTT)飞行器进行横向机动时会产生侧滑角的问题,提出一种考虑通道耦合因素的协调转弯控制方法。采用了一种基于单框控制力矩陀螺(SGCMG)的侧滑角抑制执行机构来替代方向舵、矢量推力发动机等传统执行机构。建立了加装控制力矩陀螺的BTT飞行器横向机动时的多变量强耦合非线性倾斜转弯动力学模型。根据BTT飞行器横向机动时的协调转弯要求,设计了一种基于非线性反馈和线性二次型最优算法的解耦综合控制器。计算结果表明:协调转弯控制系统可实现滚转角指令的良好跟踪和侧滑角的有效抑制。     

基于多入多出平衡流形展开模型的涡扇发动机反馈线性化滑模控制

针对涡扇发动机内部状态大范围变化条件下,单点线性控制器控制效果不佳而线性变参数控制器求解困难的问题,提出了一种基于多入多出平衡流形展开模型的涡扇发动机反馈线性化滑模变结构控制。首先,采用多入多出平衡流形展开模型辨识技术,获得仿射型的涡扇发动机数学模型。随后,利用反馈线性化将平衡流形展开模型解耦,经过坐标变换获得可用于控制系统设计的线性结果,考虑了具有误差项和饱和函数的指数趋近滑模控制律来提高控制系统的鲁棒性,完成了基于平衡流形展开模型的多变量涡扇发动机反馈线性化滑模控制器设计。最后,在非线性部件级模型上开展了控制器验证。在平衡流形展开模型设计工况,增益控制和滑模控制的控制效果表明,基于平衡流形展开模型的反馈线性化方法能够获得涡扇发动机良好的控制效果。同时,在平衡流形展开模型稳定但精度无法保证的非设计飞行工况,反馈线性化滑模控制器能够进一步抑制不确定性的影响,保证转子转速和发动机压比的跟踪控制效果。     

高速再入飞行器的制导与控制系统设计

 针对高速再入飞行器模型的快时变,强耦合,严重非线性的特点,采用反馈线性化方法,设计了自动驾驶仪;同时采用最优制导律设计与理想速度曲线相结合的方法,设计了能同时保证末端制导精度及速度方向、大小的制导律。最后,进行了六自由度仿真,结果表明 :设计的制导律及控制方案是合理、有效的,易于实现。     

基于径向基神经网络干扰观测器的空天飞行器自适应轨迹线性化控制

 研究了一种自适应轨迹线性化控制策略并应用于空天飞行器(ASV)飞行控制系统设计。通过理论分析指明当前轨迹线性化控制方法(TLC)对系统中的不确定存在鲁棒性不足的问题。为了解决这一问题,首先研究了一种径向基神经网络干扰观测器(RDO)技术,严格证明了RDO对于系统中不确定因素具有良好的逼近能力。然后利用RDO输出得到一种新的基于RDO的自适应TLC控制策略。神经网络自适应律采用Lyapunov方法设计,保证了闭环系统所有信号有界。最后采用新方案实现了ASV飞控系统,仿真结果表明整个闭环系统在鲁棒性能方面得到很大提高。     

Lyapunov-based switched-gain impact angle control guidance

To hit stationary ground targets in specified direction, a nonlinear impact angle control guidance law based on Lyapunov stability theory is proposed. The proposed law ensures the convergence of the heading angle and the miss distance to guarantee a successful engagement. The impact angle can be adjusted by varying a single parameter. And the maximum value of acceleration has been analyzed to get the proper range for control parameter. Considering the achievable impact angle set is limited, an additional phase is added to form a two-phase control strategy. The first phase is to establish a proper initial condition for the second phase, and the second phase is to hit the target with a certain impact angle. An analysis of the proper selection of control parameters to expand the achievable impact angle set is presented. The performance of the proposed guidance law is illustrated with simulations.     

吸气式高超声速飞行器鲁棒非奇异Terminal滑模反步控制

针对含有参数摄动、外界干扰的吸气式高超声速飞行器弹性模型,设计了一种基于新型非线性干扰观测器的Terminal滑模反步控制器。将考虑弹性模态的飞行器纵向模型表示为严格反馈形式,在传统反步法的基础上采用非奇异快速Terminal滑模控制俯仰角与俯仰角速率,优化了反步法的控制结构,并实现了系统的有限时间收敛。基于跟踪微分器设计了一种新型非线性干扰观测器,并与本文所提滑模反步方法相结合,通过对包括虚拟控制量微分信号在内的不确定性进行估计与补偿,进一步提高了控制器的鲁棒性,同时解决了"微分膨胀"问题。基于Lyapunov稳定性理论证明了系统的跟踪误差于有限时间收敛至零。仿真结果表明,该控制器在存在不确定性的情况下,可以实现对参考输入的稳定跟踪。     

导弹控制系统的双积分反演PID控制

考虑空气动力系数的不确定性与线性化后产生的模型不确定性,引入了一类双积分控制律,同时保留PID控制的优点,设计了一类自适应反演PID控制器.尤其是Lyapunov函数的巧妙构造,不仅表明了积分控制规律对提高系统鲁棒性的贡献,而且将PID控制与Lyapunov函数方法有机地结合起来.该设计不仅具有预期的鲁棒性,而且有效地...     

Feedback linearization and solar pressure satellite attitudecontrol

The question of large angle pitch attitude maneuver of satellites using solar radiation pressure is considered. For pitch axis maneuver, two highly reflective control surfaces are used to generate radiation moment. Based on dynamic feedback linearization, a nonlinear control law is derived for large pitch attitude control. In the closed-loop system, the response characteristics of the pitch angle are governed by a fourth-order linear differential equation. Robustness of control system is obtained by the integral error feedback. Simulation results are presented to show that in the closed-loop system, attitude control of the satellite is accomplished in spite of the parameter uncertainty in the system     

基于名义模型的飞行模拟转台反演滑模控制

针对飞行模拟转台这一实际的不确定伺服系统,提出一种新型控制策略,该控制策略是建立在名义模型基础上的一种新型全鲁棒滑模控制器.控制系统由两种控制器构成,一种是针对实际对象的全鲁棒滑模控制器,另一种是针对名义模型的积分反演滑模控制器.采用名义模型与实际对象之间的建模误差设计全鲁棒滑模控制器,采用积分反演滑模控制器来保证控制精度,全鲁棒性能由全局滑模控制器来保证.采用Lyapunov方法实现了两种控制器的稳定性分析.以飞行模拟转台伺服系统为被控对象,针对正弦和阶跃响应的仿真结果表明,采用所提出的控制方法,可实现全局鲁棒性并保证较高的位置跟踪精度.     

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.