Event-triggered control for containment maneuvering of second-order MIMO multi-agent systems with unmatched uncertainties and disturbances

This paper is concerned with distributed containment maneuvering of second-order Multi-Input Multi-Output (MIMO) multi-agent systems with non-periodic communication and actuation. The agent is subject to unmatched nonlinear dynamics and external disturbances. Event-triggered containment maneuvering control methods is developed based on a modular design. Specifically, an estimator module is constructed based on neural networks and the non-periodic obtained follower information through event-triggered communication. Next, a controller module is designed by using the identified information from the estimator module and a third-order linear tracking differentiator. An event-triggered mechanism is introduced for updating the actuator. Then, a path update law is designed based on the non-periodic leader information through event-triggered communication. The closed-loop system cascaded by the estimation subsystem and control subsystem is proved to be input-to-state stable, and Zeno behavior is excluded in the control process. The proposed method is capable of reducing the consumption of communication and actuation. A simulation example is provided to substantiate the effectiveness of the proposed event-triggered control method for distributed containment maneuvering of second-order MIMO multi-agent systems.     

Adaptive event-triggered distributed optimal guidance design via adaptive dynamic programming

In this paper, the multi-missile cooperative guidance system is formulated as a general nonlinear multi-agent system. To save the limited communication resources, an adaptive eventtriggered optimal guidance law is proposed by designing a synchronization-error-driven triggering condition, which brings together the consensus control with Adaptive Dynamic Programming(ADP) technique. Then, the developed event-triggered distributed control law can be employed by finding an approximate solution of eve...     

Event-triggered adaptive control for attitude tracking of spacecraft

Plug-and-play technology is an important direction for future development of spacecraft and how to design controllers with less communication burden and satisfactory performance is of great importance for plug-and-play spacecraft. Considering attitude tracking of such spacecraft with unknown inertial parameters and unknown disturbances, an event-triggered adaptive backstepping controller is designed in this paper. Particularly, a switching threshold strategy is employed to design the event-triggering mechanism. By introducing a new linear time-varying model, a smooth function, an integrable auxiliary signal and a bound estimation approach, the impacts of the network-induced error and the disturbances are effectively compensated for and Zeno phenomenon is successfully avoided. It is shown that all signals of the closed-loop system are globally uniformly bounded and both the attitude tracking error and the angular velocity tracking error converge to zero. Compared with conventional control schemes, the proposed scheme significantly reduces the communication burden while providing stable and accurate response for attitude maneuvers. Simulation results are presented to illustrate the effectiveness of the proposed scheme.     

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.     

一种针对结构损伤的非线性容错飞行控制方法

飞机结构损伤会引起气动参数变化,进而影响系统的静稳定性和控制精度。针对具有多输入的非线性飞机模型,利用带有二阶命令滤波器的自适应反步控制方法在线估计飞机气动参数,补偿结构损伤导致的气动参数变化对控制系统的影响,以实现容错飞行控制功能;引入的命令滤波器可以避免反步控制中复杂的求导运算。从理论上分析证明了带有二阶命令滤波器的自适应反步控制的闭环系统稳定性,并给出了控制跟踪误差的理论上界和二阶命令滤波器频率参数选取的下界。通过一个大型客机垂直尾翼脱落场景的仿真实验,验证了所提容错控制方法的有效性。     

空间飞行器抓捕非合作目标后的复合控制

随着空间技术的不断发展，空间飞行器抓取非合作目标的稳定控制技术变得日益重要。基于拉格朗日动力学原则对空间飞行器进行动力学建模，考虑了非合作目标的未知参数、空间飞行器模型的不确定性及存在外部干扰的情况，理论分析了自适应控制及基于非线性干扰观测控制的可行性，并对比了二者的优缺点。在此基础上提出了一种可以在线精确估计非合作目标未知参数的复合控制方法，并进行了仿真验证。仿真结果表明，所提方法能够将所有参数的估计误差限制在很小的范围内，相对于自适应控制方法有了显著改善。     

Backstepping design of missile guidance and control based on adaptive fuzzy sliding mode control

This paper presents an integrated missile guidance and control law based on adaptive fuzzy sliding mode control. The integrated model is formulated as a block-strict-feedback nonlinear system, in which modeling errors, unmodeled nonlinearities, target maneuvers, etc. are viewed as unknown uncertainties. The adaptive nonlinear control law is designed based on backstepping and sliding mode control techniques. An adaptive fuzzy system is adopted to approximate the coupling nonlinear functions of the system, and for the uncertainties, we utilize an online-adaptive control law to estimate the unknown parameters. The stability analysis of the closed-loop system is also conducted. Simulation results show that, with the application of the adaptive fuzzy sliding mode control, small miss distances and smooth missile trajectories are achieved, and the system is robust against system uncertainties and external disturbances.     

基于分布式自适应的多智能体容错一致性控制

针对"领航者-跟随者"的多智能体编队，由于领航者系统出现故障引起编队通讯中断而不能完成任务的问题，提出了一种基于一致性理论的分布式自适应控制方法，用于解决该问题。首先，以一个位于顶点的智能体作为领航者，其余3个位于同一条线上的智能体作为跟随者，由此所构成的三角形编队作为被控对象。其中，领航者速度方向作为编队的前行方向，跟随者位于领航者之后。其次，基于图论，对智能体局部信息参数进行分布式自适应更新，并设计分布式自适应控制律，用于弥补多智能体编队中领航者故障所造成的影响。同时，根据相邻智能体的局部信息，设计整体分布式自适应容错控制律，进一步通过构建合理的Lyapunov函数，证明所设计控制器的稳定性，以及"领航者-跟随者"之间相对横向以及相对纵向的距离误差均收敛于固定常数。最后，仿真验证表明：所提出的自适应控制方法具有良好的鲁棒性，这也为工程实践提供了理论依据。     

新一代歼击机超机动飞行的动态逆控制

 根据反馈线性化理论, 讨论了神经网络自适应非线性动态逆控制设计。首先根据时标分离原则, 采用动态逆方法设计快回路和慢回路控制器; 其次提出基于模型逆的神经网络非线性直接自适应控制方案, 设计一种在线神经网络用于补偿模型逆误差。仿真表明, 该控制方案具有较好的自适应能力和鲁棒性。     

基于预设性能的四旋翼无人机编队安全控制

针对四旋翼无人机编队系统存在模型不确定性、未知外部干扰与内部碰撞等问题,提出一种基于预设性能的安全控制方法。首先使用预设性能函数结合误差转换方法,将防止内部碰撞的不等式约束问题转换为无约束问题。同时针对模型中的不确定项,使用神经网络进行逼近;针对神经网络逼近误差与未知外部干扰组成的复合干扰,使用非线性干扰观测器进行估计,并分别设计位置与姿态子系统控制器,避免了编队内四旋翼无人机的碰撞。然后借助Lyapunov方法证明了闭环系统所有信号的收敛性。最后通过数值仿真验证了所提控制方法的有效性。     

自适应PID控制系统仿真

针对常规PID控制器不能满足非线性、时变系统的控制要求的问题,本文将自适应控制思想与PID控制器相结合,合成一种自适应PID控制解决方案,并设计了一个自适应PID控制器。该方案运用专家控制策略,自动整定PID参数。仿真结论表明,在系统参数不确定或者发生变化时,该控制器的控制效果明显优于常规PID控制器。     

Decentralized attitude synchronization tracking control for multiple spacecraft under directed communication topology

This paper studies the attitude synchronization tracking control of spacecraft formation flying with a directed communication topology and presents three different controllers. By introducing a novel error variable associated with rotation matrix, a decentralized attitude synchronization controller, which could obtain almost global asymptotical stability of the closed-loop system, is developed. Then, considering model uncertainties and unknown external disturbances, we propose a robust adaptive attitude synchronization controller by designing adaptive laws to estimate the unknown parameters. After that, the third controller is proposed by extending this method to the case of time-varying communication delays via Lyapunov–Krasovskii analysis. The distinctive feature of this work is to address attitude coordinated control with model uncertainties, unknown disturbances and time-varying delays in a decentralized framework, with a strongly connected directed information flow. It is shown that tracking and synchronization of an arbitrary desired attitude can be achieved when the stability condition is satisfied. Simulation results are provided to demonstrate the effectiveness of the proposed control schemes.     

基于事件触发的异构多智能体最优包含控制

针对异构多智能体系统的输出包含控制问题，提出一种基于边的事件触发最优控制协议，保证所有跟随者的输出能进入到由领航者的输出所形成的凸包中。同时，使系统达到最优性能，最小化控制代价。考虑到不是所有的跟随者都可获得领航者的信息，提出一种基于边的分布式事件触发观测器，估计领航者输出形成的凸包内点的轨迹。设计加权代价函数评价包含控制的性能，并将输出包含问题转化为最优状态反馈控制设计问题。利用贝尔曼方程和黎卡提方程，给出异构多智能体系统最优输出包含控制的参数设计。选择不同类型的机器人构成多智能体系统，验证算法的有效性。     

超机动飞行的非线性反推自适应控制

为解决对象参数未知时的超机动飞行控制问题,设计了一种非线性反推自适应控制器。针对超机动飞行的非线性模型,适当选取Lyapunov函数和中间虚拟控制信号,同时通过自适应控制律的设计来调节未知参数并得到了最终的控制信号。仿真结果表明,即使模型参数未知,所设计的控制律也能在过失速机动条件下控制飞机跟踪指令飞行,同时保证了闭环系统的稳定性。     

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。     

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.     

基于有向图的航天器编队飞行自适应姿态协同控制

在有向通信拓扑下研究了编队航天器自适应姿态协同控制问题。针对航天器编队飞行系统中存在外部扰动和模型不确定性的情况,通过选取包含相对姿态误差和绝对姿态误差的辅助变量,提出了一种鲁棒自适应控制策略。提出了自适应律估计转动惯量矩阵和扰动上界等未知参数,并且利用Lyapunov稳定性理论分析了闭环系统的渐近稳定性。与滑模控制等传统鲁棒控制不同,所设计的鲁棒自适应控制器是连续的,更便于航天器编队飞行系统的实现。最后通过仿真验证了该控制策略能够实现高精度的编队飞行跟踪控制。     

一类非线性系统的鲁棒控制

针对一类带不确定性的非线性系统,引入坐标变换,对变换后的系统设计了变结构鲁棒控制器,在一定界的限制下,可以达到对不确定性的抑制,不确定性的界不可知时,利用自适应技术进行在线估计;利用线性化方法,对系统的滑动模态进行设计,得到了稳定的滑动模态。     

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。     

有向切换拓扑下非线性多智能体系统的一致性控制

本文研究有向切换拓扑条件下无领导者的Lur'e型非线性多智能体系统的动态一致性问题。设计了基于协同邻居输出信息的观测器类型的动态一致性算法,可以保证在邻居状态信息未知情况下系统达到一致。利用Laplacian矩阵的特殊性质以及Laplacian矩阵的降维变型形式,提出了一种新的拓扑依赖的多重Lyapunov函数构建方法,进而将切换拓扑下的一致性问题转换为低维切换系统的稳定性问题。该方法放宽了对拓扑条件的约束,实现了网络拓扑依赖矩阵和系统动态依赖矩阵的独立设计。再利用多重Lyapunov函数法结合线性矩阵不等式方法对系统进行稳定性分析,给出动态一致性控制器的反馈矩阵的求解方法,得到了平均驻留时间条件。结果表明,提出的方法可使得Lur'e型非线性多智能体系统达成一致,只要满足每个候选拓扑中都包含有向生成树且切换拓扑的平均驻留时间大于一个指定的阈值。