基于自适应滑模的欠驱动无人艇轨迹跟踪控制算法

针对欠驱动水面无人艇在航行过程中存在的海洋环境干扰、数学模型参数不确定、执行器故障等问题,提出了一种基于扰动观测器与神经网络技术的自适应滑模轨迹跟踪策略。在无人艇三自由度模型的基础上,结合视线制导率,提出了一种新的轨迹跟踪制导策略。采用自适应滑模控制技术设计了欠驱动无人艇轨迹跟踪控制器,有效地抑制了执行器衰减故障对无人艇控制系统的影响;同时运用了非线性扰动观测器和自适应径向基函数神经网络分别对无人艇受到的外界干扰和模型参数不确定性进行补偿和拟合,提高了控制系统的抗干扰能力。基于Lyapunov定理证明了所设计的控制系统的稳定性,并在MATLAB中进行了仿真测试。仿真结果表明,所提出的轨迹跟踪控制算法可以在较为复杂的环境下实现对欠驱动无人艇的精准控制;相较于对比算法,位置的平均跟踪误差减小了80%以上,具备较高的稳定性和鲁棒性。     

康复机器人的自抗扰与滑模复合控制

针对康复机器人主动康复训练任务中可能出现的患者肌肉痉挛时的控制问题,提出一种康复机器人自抗扰与滑模复合控制方法,对预设的康复训练任务轨迹实现精确跟踪。滑模控制可以克服系统模型结构参数不确定性并能达到迅速的跟踪效果,自抗扰控制可以实现在系统状态到达滑模面后精确跟踪轨迹,避免了滑模控制的抖振现象。实验结果表明,该方法在完成康复训练任务时具有较高的轨迹跟踪精度以及较快的跟踪速度,对于外界的干扰具有良好的抗干扰能力,同时对于系统的内部的非线性扰动具有很好的鲁棒性。     

欠驱动水下机器人三维轨迹跟踪有限时间预设性能控制

本文研究了具有不确定动态和未知时变海洋环境扰动的欠驱动水下机器人(AUVs)三维轨迹跟踪有限时间预设性能控制问题,提出新型预设性能函数和误差映射函数,将受预设性能限制的轨迹跟踪误差转变为非受限的变换后误差;构造新的超螺旋(ST)扩张状态观测器,在有限时间内实时估计AUV不确定动态和未知时变海洋环境扰动引起的总扰动;基于...     

具有输入输出约束的无人直升机预设性能安全跟踪控制

针对无人直升机姿态与高度系统存在未知外部干扰、输入饱和、姿态与高度约束等问题, 本文提出一种具 有输入输出约束的预设性能安全跟踪控制方法. 首先, 针对无人直升机的姿态与高度约束, 通过设计一类边界保护 算法, 构建了新的安全期望跟踪信号. 为了保证系统对于安全期望跟踪信号的跟踪性能, 将预设性能函数与边界保 护算法进行结合, 并对跟踪误差进行转换. 针对系统的输入饱和现象, 使用Sigmoid函数进行逼近; 同时, 针对饱和函 数的逼近误差与未知外部干扰构成的复合干扰, 采用参数自适应方法对其上界进行逼近. 然后, 结合反步控制方法 设计了安全跟踪控制器, 并通过Lyapunov稳定性理论证明了闭环系统所有信号的收敛性, 保证了无人直升机的安全 跟踪性能. 最终, 通过数值仿真验证了所提控制方法的有效性.     

无人水面艇航迹跟踪控制仿真

针对模型参数不确定、存在外界风浪流干扰的欠驱动无人水面艇的航迹跟踪问题,为提高无人水面艇自主航行能力,减小航迹跟踪过程中的轨迹偏差与跟踪迟滞,提出了一种分层控制结构的方法;由外至内采取航迹、航向、舵角三层控制,外环航迹控制层使用过渡目标点策略,根据无人水面艇的偏航距确定实时目标点,中环航向控制层使用最小转角策略,根据无人水面艇艏向角与目标方向角之差确定偏转打角,内环舵角控制层使用模糊自适应整定PID控制器,对模型参数的动态变化进行补偿;基于MATLAB GUI进行无人水面艇航迹跟踪控制仿真试验,结果表明,模糊自适应整定PID控制器提高了舵角的控制响应速度,无人水面艇在航行过程中的直线行驶、连续折线行驶均能得到较好的航迹跟踪控制。     

无人水面艇复合自适应轨迹跟踪控制

针对存在模型参数不确定性和极易受到风、浪、流等时变干扰的欠驱动无人水面艇的轨迹跟踪控制问题,根据扰动观测器能对不确定项和外界干扰进行估计和补偿且具有鲁棒性特点,提出一种基于复合扰动观测器的自适应轨迹跟踪控制。该复合自适应观测器利用跟踪误差和估计误差共同调节自适应参数,在不激励高频未建模动态的情况下,该复合自适应闭环控制系统可得到更快的收敛速度和更高的跟踪精度。理论分析和仿真实验证明了所提出的无人水面艇复合自适应控制的有效性。     

时滞系统的IMC-IMC串级控制

针对一类含大时滞且对抗扰性有严格要求的系统,结合内模控制(IMC)对大时滞系统的控制优越性和串级控制良好的抗扰性,提出IMC-IMC串级控制方法,将两个IMC结构引入串级控制系统中,主要扰动包含在副回路,两个内模控制器分别调节系统的跟踪和抗扰性能.理论分析和仿真结果表明,该方法对于大时滞系统同时具备良好的跟踪和抗扰性能.     

波浪干扰下固定双桨无人水面艇的路径跟踪方法

无人水面艇在路径跟踪过程中容易受到波浪环境的干扰,针对该问题提出一种基于可变船长比的直线路径跟踪方法。首先,建立了固定双桨无人水面艇在二阶波浪力下的运动模型;根据视距导航原理,设计了跟踪期望航向角的PD控制器,通过融合路径方向,距离偏差及船长比等信息,实时调整左右两侧推进电机的控制电压,实现无人水面艇直线路径跟踪。然后,针对不同船长比对直线路径跟踪的影响,在PD控制器中增加了以跟踪过程中的距离偏差和距离偏差变化率为输入,以船长比为输出的模糊推理模块,对船长比进行实时在线调整,提高了系统的抗波浪干扰性能。仿真结果表明,较之固定船长比的路径跟踪方法,所提方法使跟踪过程具有更好的动态性能,并且可减小波浪干扰下的路径跟踪偏差,有效克服波浪的干扰作用。     

风干扰下基于变船长比的无人水面艇路径跟踪方法

针对无人水面艇在路径跟踪过程中易受风环境干扰的问题,建立了风环境下无人水面艇的运动数学模型,提出一种用于抵抗风干扰的直线路径跟踪方法;首先,基于视距导航原理,设计了跟踪期望航向角的PD控制器,通过融合路径方向,距离偏差及船长比等信息,实时调整左右两侧推进电机的控制电压,实现无人水面艇直线路径跟踪;然后,针对不同船长比对直线路径跟踪的影响,采用模糊控制方法,设计了以跟踪过程中的距离偏差和距离偏差变化率为输入,以船长比为输出的模糊控制模块,对船长比进行自适应调整,以提高控制器的抗风干扰性能;仿真结果表明,所提方法可减小风干扰作用下的跟踪静差,较之传统单纯PD控制方法,抵抗风干扰的能力得到提高。     

基于积分LOS的多无人艇协同路径跟踪

该文针对欠驱动无人艇的编队跟踪控制问题,考虑模型参数不确定和外界风浪流干扰的影响,设计了基于LOS的算法。首先,为了使三艘无人艇保持协同,设计了协同一致性控制算法,并且所有的跟随者之间的通信网络是无向的,保证每艘无人艇之间都能互相通信。其次,基于LOS算法,设计了偏航控制器和艏摇控制器,使得无人艇可以在洋流干扰下实现路径跟踪。针对控制器中的未知参数,设计了基于自适应算法的观测器,对未知参数进行估计。仿真结果验证了所提出的控制方法的有效性。     

基于扰动观测器的水面无人船自适应模糊控制器设计

为了使水面无人船(USV)获得更好的跟踪性能,本文设计了基于扰动观测器和命令滤波器的自适应模糊控制器.对于该系统存在建模不确定性和外部环境的扰动,采用模糊逻辑系统(FLS)和一个新的扰动观测器对其进行逼近和补偿.在扰动观测器和控制器中加入了一个新的自适应参数,用来改善控制精度.基于此,本文设计了命令滤波反步控制方法,可以保证系统在所有状态下都是有界的,且跟踪误差在有限时间内小于规定的精度.仿真结果显示该方法有效,且可以满足给定的控制精度.     

基于有限时间预设性能的高超声速飞行器反演控制

针对存在参数不确定以及外界干扰的高超声速飞行器跟踪性能问题,提出一种基于有限时间预设性能的反演控制方案.首先,为便于控制器设计,将高超声速飞行器模型划分为速度和高度子系统,针对子系统分别设计预设性能控制器以提高系统的瞬态和稳态性能;然后,通过设计一种有限时间性能函数,使得跟踪误差能够在预设时间内收敛至稳态值;接着,考虑到反演设计中虚拟指令导数难以获取以及干扰项对系统的影响,基于干扰观测器提出一种扰动估计方法,目的是在取得良好的观测扰动效果的同时,使得控制器设计流程简化、复杂度降低;最后,基于Lyapunov稳定理论证明系统的跟踪误差最终一致有界,并通过仿真验证该方法的有效性.     

Distributed prescribed performance control for consensus output tracking of nonlinear semi-strict feedback systems using finite-time disturbance observers

The distributed consensus output tracking problem is dealt with for a class of nonlinear semi-strict feedback systems in the presence of mismatched nonlinear uncertainties, external disturbances and uncertain nonlinear virtual control coefficients of the subsystems. The systems are under a directed communication graph, where the leader node is the root. The controller is designed in a backstepping manner, and the dynamic surface technique is adopted to avoid direct differentiation. At each step of virtual controller design, a prescribed performance controller is constructed to achieve prescribed transient performance so that the system states remain in the feasible domain. Then each virtual controller is enhanced by a finite-time disturbance observer which estimates the disturbance term in a finite-time. The properties of the control system are analysed theoretically. It is clarified that the prescribed performance control technique ensures that the system signals stay in the feasible domain, whereas sufficiently small ultimate control errors can be achieved by the finite-time disturbance observers. Finally, the performance of the proposed methods is confirmed by numerical studies.     

High precision tracking of a piezoelectric positioner using a discrete-time sliding mode control

This paper proposes a new comprehensive control strategy to precisely control a piezoelectric positioner by combining discrete-time sliding mode control (DSMC) with the Prandtl-Ishlinskii hysteresis model. In order to obtain precision tracking control, a direct inverse hysteresis compensation method is firstly adopted to compensate for the asymmetric hysteresis nonlinearity. Due to the existence of hysteresis modeling error, the dynamics behavior of the piezoelectric positioner with hysteresis compensation can be treated as a linear second order plant plus an unknown lumped disturbance term. Then a discrete-time sliding mode controller with a disturbance observer is designed to stabilize the position error and improve the position accuracy. The stability of DSMC and the convergence of the disturbance observer are both carried out. It is shown that the tracking performances are robust to the parametric uncertainties and unknown disturbances. Eventually, different trajectory-tracking experiments are performed, and the comparative experimental results are presented to confirm the significantly better performance of the proposed control strategy.

     

永磁同步电机有限时间预设性能控制

为实现扰动作用下对永磁同步电机角位置伺服系统的高瞬态和稳态跟踪性能控制,本文提出一种具有预设性能约束的有限时间控制方法.首先,设计扰动观测器实现对负载力矩扰动的估计与补偿.其次,引入有限时间预设性能函数以保证角跟踪误差的动态性能,并通过可逆变换将受不等式约束的角位置跟踪误差转换为等效的无约束误差形式.然后,将有限时间指令滤波反步法应用于控制器设计中,不仅可以避免“微分爆炸”的现象,而且能够保证跟踪误差的有限时间内收敛.最后,通过仿真实验验证了该算法的有效性和对扰动的鲁棒性.     

Observer-based prescribed-time consensus control for heterogeneous multi-agent systems under directed graphs

This work studies the prescribed-time robust consensus tracking problem of heterogeneous multi-agent systems over directed graphs. Aiming at multi-agent systems with a static leader and only matched disturbances, a distributed observer-based consensus algorithm is developed, to ensure that the tracking errors converge to zero accurately in prescribed time. For the case of multi-agent systems with a dynamic leader and mismatched/matched disturbances, an adaptive strategy based on a distributed observer and a disturbance observer is designed by the dynamic damping reciprocal technology. Such strategy can avoid the numerical singularity, adapt to the situation that the upper bounds of the disturbances are unknown, and assure that the tracking errors converge to an adjustable neighborhood of zero within prescribed time. Finally, simulations are given to verify the effectiveness of the proposed control strategies.     

Disturbance observer-based tracking control with prescribed performance specifications for a class of nonlinear systems subject to mismatched disturbances

This work investigates simultaneous prescribed performance tracking control and mismatched disturbance rejection problems for a class of strict-feedback nonlinear systems. A novel control scheme combining prescribed performance control, disturbance observer technique, and backstepping method is proposed. The disturbance estimations are introduced into the design of virtual control law design in each step to compensate the mismatched disturbances. To further improve the control performance, a prescribed performance function characterizing the error convergence rate, maximum overshoot, and steady-state error is used to construct the composite controller. The proposed controller guarantees transient and steady-state performance specifications of tracking error and provides much better disturbance attenuation ability simultaneously. Rigorous stability analysis for the closed-loop system is established by direct Lyapunov function method. It is shown that all the states in the resulting closed-loop system are stable, and the tracking error evolves within the prescribed performance boundaries and asymptotically converges to zero even in the presence of mismatched external disturbances. Finally, theoretical results are illustrated and demonstrated by two simulation examples.     

基于干扰观测器的水下机器人预定性能控制

针对受外界干扰的水下机器人,提出一个预定性能控制器.首先,针对水下机器人的外界干扰,设计一个干扰观测器并且估计误差在有限时间内收敛至零;然后,利用干扰观测器进行前馈补偿,基于一种指数型障碍李雅普诺夫函数设计一个非奇异快速积分终端滑模控制器,使得水下机器人的轨迹跟踪误差在有限时间内收敛至零并且满足预定的性能要求;最后,严...     

Nonsingular terminal sliding mode based finite-time control for spacecraft attitude tracking

This paper studies finite-time attitude tracking control problem of a rigid spacecraft system with external disturbances and inertia uncertainties. Firstly, a new finite-time attitude tracking control law is designed using nonsingular terminal sliding mode concepts. In the absence and presence of external disturbances and inertia uncertainties, this controller can drive the attitude and angular velocity tracking errors to reach zero in finite time. Secondly, a finite-time disturbance observer is introduced to estimate the disturbance, and a composite controller is developed which consists of a feedback control based on nonsingular terminal sliding mode method and compensation term based on finite-time disturbance observer. Finite-time convergence of attitude tracking errors and the stability of the closed-loop system is ensured by the Lyapunov approach. Numerical simulations on attitude control of spacecraft are also given to demonstrate the performance of the proposed controllers.     

基于龙伯格观测器的感应电机预设性能位置跟踪优化控制EI北大核心CSCD

考虑暂稳态约束、控制参数优化及参数摄动和负载扰动等对感应电机位置跟踪控制性能的影响,本文提出了一种基于龙伯格观测器的预设性能优化控制方法.首先,针对电机转子磁链在实际中不可测的问题,采用龙伯格观测器对其进行了快速准确的估计.其次,基于反步法完成感应电机位置预设性能控制器的设计,基于变增益指数趋近律完成感应电机磁链滑模控制器的设计,通过构造干扰观测器对电机系统中由参数摄动和负载扰动引起的不确定项进行观测,实现了对系统给定值准确的跟踪控制.再次,将遗传算法(GA)与改进的粒子群优化(IPSO)算法相结合,对所设计的控制器参数进行优化整定,进一步提高了系统的收敛速度和稳态精度.基于李雅普诺夫稳定性理论分析表:所设计的控制器能够保证位置跟踪误差一直处于预设边界内,且整个闭环系统是全局一致有界稳定的.最后,通过仿真和模拟实验对比分析验证了本文所提方法的有效性及在实际电机系统中应用的可行性.