状态测量不确定和动力学未知的无人艇固定时间容错控制

针对含有推进器故障和状态测量不确定的无人艇(Unmanned surface vehicle, USV)系统,提出一种基于双扰动观测器的固定时间容错跟踪控制(Double disturbance observer-based fixed-time fault-tolerance control, DDO-FxFC)方法.设计两个固定时间扰动观测器,分别估计状态测量不确定性产生的非匹配干扰和包含推进器故障的集总非线性,同时自适应实时补偿未知观测误差;采用测量位姿跟踪误差及其动态,设计快速非奇异终端滑模面,构建DDO-FxFC框架;理论分析证明DDO-FxFC方法能够确保跟踪误差固定时间收敛,其中收敛时间的上界独立于系统初始状态;针对原型USV的仿真结果和综合对比验证所提出DDO-FxFC技术的有效性和优越性.     

事件触发策略下多AUV抗干扰固定时间编队控制

针对多AUV编队控制的模型参数不确定及未知海流干扰的问题, 提出基于固定时间模糊干扰观测器的事 件触发编队控制方法, 该方法可保证编队控制在固定时间内收敛. 首先, 构造了固定时间模糊干扰观测器处理系统 的集总扰动, 实现固定时间内对扰动的精确估计. 在扰动观测器的基础上, 将指令滤波器与反步法结合, 消除了多次 求导产生的计算爆炸问题; 其次, 为了降低网络传输资源能耗, 将事件触发机制引入多AUV编队控制中, 设计具有 固定时间收敛性能的分布式编队控制器, 且系统收敛时间仅取决于控制器设计参数, 并经理论证明无Zeno行为; 最 后通过多AUVs编队仿真实验, 证明了所提出算法的有效性和合理性.     

基于扰动观测器的AUVs固定时间编队控制

考虑含有模型参数不确定及未知海洋扰动的多AUVs协同编队问题,本文提出一种新的控制方法,该方法可保证编队在固定时间内实现.首先,将模型参数不确定及海洋扰动看作复合扰动,设计扰动观测器,实现固定时间内对扰动的精确估计.基于扰动观测器,指令滤波技术、固定时间理论及虚拟轨迹概念,设计编队控制律,实现编队目标,并保证闭环系统中的所有信号是全局固定时间稳定的.最后通过两艘AUV的编队仿真验证了所提算法的有效性.     

带有执行器故障的多水面船固定时间分布式滑模协同控制

针对未知环境干扰、未知执行器故障等多水面船协同控制问题,提出一种带有执行器故障的多水面船固定时间分布式滑模协同控制方法,可保证协同控制系统的全局固定时间的稳定性.首先,设计一种固定时间干扰观测器,用于估计集总扰动(包括未知环境扰动和未知执行器故障);其次,引入固定时间非奇异快速终端滑模面,可有效地消除系统的奇异性,改善系统的抖振;然后,提出一种基于固定时间非奇异快速终端滑模面和固定时间干扰观测器的分布式容错控制器,使得收敛时间上界与系统初始状态无关;最后,通过仿真实验验证所提出控制律的有效性.     

基于固定时间滑模干扰观测器的AUVs事件触发编队控制

研究多自主水下机器人(AUVs)编队控制过程中存在外部未知扰动、模型参数摄动和节约控制器传输网络能耗的问题,提出一种抗扰动的固定时间相对阈值事件触发编队控制方法.首先,给出自适应固定时间积分滑模干扰观测器(AFISMDO),在固定时间内用来估计系统的复合扰动;其次,基于所设计的AFISMDO,将非线性滤波器引入到反步算...     

基于有限时间扰动观测器的无人水面艇精确航迹跟踪控制

针对复杂航行环境下的无人水面艇系统,提出一种基于有限时间扰动观测器的无人水面艇精确航迹跟踪控制策略.该控制方法具有以下显著特点:能够精确补偿未知海洋干扰,可实现精确跟踪控制;相比传统的渐近收敛控制算法,有限时间稳定性确保跟踪控制系统具有更快的收敛速度和更强的扰动抑制能力;能够同时确保扰动观测误差和航迹跟踪误差在有限时间内精确收敛到零.仿真结果验证了所提出控制方法的有效性和优越性.     

基于固定时间扰动观测器的四旋翼无人机轨迹跟踪控制

针对六自由度小型四旋翼无人机在轨迹跟踪控制过程中,单一控制器构成的控制系统存在外部未知干扰,系统的鲁棒性以及轨迹跟踪精度容易产生较大的波动问题,该文章提出了一种基于固定时间扰动观测器的全闭环控制方案,即针对位置与姿态的双闭环控制;首先利用固定时间理论设计了两个扰动观测器,在固定时间内对扰动做出估计并进行补偿;在此观测器对扰动值的精确估计基础之上,设计了两个具有扰动补偿能力的非线性跟踪控制器;李雅普诺夫稳定性理论证明了所述方法的有效性;仿真实验中,为对比所述控制方法的有效性,同时采用传统单一控制器构成的无人机控制系统进行对比分析;在无人机质量为m=1.44 kg、环境重力加速度为g=9.8 m/s2以及其他模型参数一致的前提下,进行大量的仿真实验验证了所提出的基于固定时间扰动观测器的扰动补偿控制系统,能够保证小型四旋翼无人机六自由度受到复杂外部干扰时准确估计出外部干扰值,并实现无人机进行高精度轨迹跟踪控制,且轨迹跟踪精度与抗扰性能皆优于传统单一控制器构成的无人机控制系统.     

电驱移动机器人多变量固定时间连续编队控制

针对扰动下电驱动非完整移动机器人固定时间编队控制问题,通过引入包含驱动器动力学的领航者-跟随者状态空间动力学模型,分两步对编队控制器进行了设计。对领航者跟随者编队运动学模型进行了多变量固定时间控制设计。在动力学层面,为实现扰动下的速度跟踪,通过辅助输入设计了一种跟随者机器人多变量超螺旋固定时间连续电压控制器。所提算法使机器人编队克服了跟随者机器人所受干扰,确保了跟随者机器人与领航者在固定时间达到期望队形,跟随者在固定时间内跟随期望速度,设计的连续控制消除了开关控制的抖振现象。通过参数设计提前给定系统收敛的固定时间,与系统初始状态无关。基于Lyapunov方法进行了系统稳定性分析。通过仿真对算法进行了验证。     

推进器饱和约束的水面无人艇固定时间精准跟踪控制

针对复杂扰动、完全未知系统动态以及推进器饱和约束的水面无人艇高精度跟踪控制问题,提出一种基于固定时间非奇异终端滑模的无模型固定时间精准跟踪控制(MFPTC)方案.首先,设计有限时间集总观测器,精确重构和补偿集总未知项;其次,引入自适应辅助系统消除推进器饱和特性,使得MFPTC方案在饱和约束下实现期望时间内对预定轨迹的精准跟踪;进而,基于反正切函数构造固定时间幂次趋近律,加快滑模变量收敛速度且有效削弱控制抖振;最后,采用CyberShip Ⅱ实验模型进行仿真研究,结果验证所提出MFPTC方案的有效性与优越性.     

基于新型固定时间稳定方法的一类二阶非线性系统镇定控制

本文研究了受未知外部扰动侵袭的一类二阶非线性系统的固定时间镇定控制问题.首先,提出了一种新的固定时间稳定方法,并给出了收敛时间及其上界估计值的计算公式.理论分析表明,收敛时间的上界与系统初始状态无关,可由系统参数完全确定.然后,基于所提出的固定时间稳定方法设计了新型滑模趋近律和终端滑模面,使得系统状态能够在有界的有限时间内,从任意初始状态收敛至滑模面并沿着滑模面收敛至原点,同时引入了基于系统状态的自适应切换方法,有效避免了终端滑模面导致的奇异问题.最后,通过仿真验证了算法的有效性.     

A Novel Obstacle Avoidance Consensus Control for Multi-AUV Formation System

In this paper, the fixed-time event-triggered obstacle avoidance consensus control for a multi-AUV time-varying formation system in a 3D environment is presented by using an improved artificial potential field and leader-follower strategy(IAPF-LF). Firstly, the proposed fixed-time control can achieve the desired multi-AUV formation within a fixed settling time in any initial system state. Secondly, an event-triggered communication strategy is developed to govern the communication among AUVs, and...     

推进器饱和/故障下的无人艇固定时间指定性能容错控制

针对系统动态未知的无人艇(USV)在推进器故障与饱和约束下轨迹跟踪问题,本文提出一种基于固定时间扩张状态观测器的积分滑模容错控制方法.首先,构造固定时间扩张状态观测器,实现未知速度信息、集总未知非线性的准确估计.进而,通过引入一种新型设定时间性能函数,约束位姿跟踪误差,并利用误差转换函数将其转化为无约束误差动态系统.在此基础上,结合固定时间积分滑动模态与饱和补偿动态系统,设计固定时间控制策略,保证系统实际固定时间稳定且位姿跟踪误差严格位于指定范围内.最后,仿真验证所提出控制方法的有效性与优越性.     

A novel fixed-time sliding mode control for nonlinear manipulator systems based on adaptive disturbance observer

Considering that in the trajectory tracking control of a nonlinear robotic manipulator system, the control effect is easily limited by the initial state of the system, and the system has modeling error, unknown disturbance, and friction in the actual control, to overcome the above problems, a fixed-time sliding mode control (SMC) strategy based on adaptive disturbance observer (ADO) is developed in this paper. Firstly, feedforward compensation of the system is achieved by developing an ADO to accurately estimate the compound disturbances in the system. Second, a new fixed-time sliding mode (SM) surface is presented to overcome the singularity issue and accelerate the error convergence. In addition, to enhance the performance of the reaching phase, a variable exponential power reaching law (VEPRL) is developed, which can effectively adjust the convergence rate. Through rigorous theoretical analysis, it is shown that the system state can be stabilized at a fixed time, and an upper bound on the convergence time is also given. Finally, the effectiveness of the control method is verified by comparing it with different control schemes in simulation.     

Back-stepping Fault-tolerant Control for Morphing Aircraft Based on Fixed-time Observer

In this paper, the problem of the back-stepping fault-tolerant control (FTC) based on fixed-time observer is addressed for the morphing aircraft with model uncertainties, external disturbances, and actuator faults. First, the longitudinal dynamics for the morphing process are presented, and the control-oriented models subject to undesired malfunctions are established. Second, the fixed-time observer is designed for offering estimations of compound disturbances, including system uncertainties, disturbance, and malfunction information. Especially, the observer errors could converge to zero by the proposed observer within a settling time, which is independent of the system’s initial conditions. Then, a back-stepping FTC strategy based on the observations is proposed for the altitude and velocity subsystem, and the stability of the close loop system would be guaranteed by the proposed controller despite the actuator failures. Furthermore, to eliminate the effects of the “explosion of complexity” of the back-stepping method, a modified dynamic surface is applied to compute derivatives of virtual laws. Finally, the numerical simulations verify the effectiveness of the proposed control approach.

     

Fixed-Time Output Consensus Tracking for High-Order Multi-Agent Systems With Directed Network Topology and Packet Dropout

This paper studies the problem of fixed-time output consensus tracking for high-order multi-agent systems (MASs) with directed network topology with consideration of data packet dropout. First, a predictive compensation based distributed observer is presented to compensate for packet dropout and estimate the leader’s states. Next, stability analysis is conducted to prove fixed time convergence of the developed distributed observer. Then, adaptive fixed-time dynamic surface control is designed to counteract mismatched disturbances introduced by observation error, and stabilize the tracking error system within a fixed time, which overcomes explosion of complexity problem and singularity problem. Finally, simulation results are provided to verify the effectiveness and superiority of the consensus tracking strategy proposed. The contribution of this paper is to provide a fixed-time distributed observer design method for high-order MAS under directed graph subject to packet dropout, and a novel fixed-time control strategy which can handle mismatched disturbances and overcome explosion of complexity and singularity problem.