切换拓扑下无人机集群系统时变编队控制

针对多无人机(UAV)间通信拓扑可能发生变化的情况,研究了具有二阶积分特性的无人机集群系统的轨迹跟踪与时变编队控制问题。基于一致性方法设计了编队控制器,将编队控制问题转换成闭环系统的稳定性问题,引入了切换拓扑平均驻留时间的概念,并在此基础上利用线性矩阵不等式(LMI)方法,给出了控制器设计步骤。通过构造分段连续Lyapunov函数,证明了切换拓扑下无人机集群系统能够实现对指定轨迹的跟踪并且实现时变编队飞行。以三维空间运动的无人机集群系统为例进行了仿真验证,结果表明本文所提方法能够解决切换拓扑下无人机集群系统的轨迹跟踪与时变编队问题。     

具有动态领导者的多智能体系统分组一致性控制

对一类具有动态领导者的非线性多智能体系统的一致性进行研究，解决了领导-跟随一致性控制问题。首先，考虑到多目标任务中广泛存在的合作-竞争机制和领导者的控制输入非零的情况，基于邻居智能体的相对状态信息，设计了一类分布式的分组一致性控制器。通过在所设计的控制器中增加补偿项，解决了由领导者非零控制输入引出的问题。引入了一类Lipschitz-like条件，解决了非线性项在实现分组一致时所带来的困难。其次，利用图论和构造Lyapunov函数，通过求解代数Riccati方程得出了系统实现分组一致性的充分条件，并基于所设计的控制器实现了多智能体系统动态领导-跟随的分组一致性控制。最后，通过数值仿真和结果分析验证了所提出控制方案的有效性和可行性。     

多智能体离散时间系统一致性研究

研究了无向连通图条件下带有输入延时的多智能体离散时间系统一致性问题,分析了多智能体系统一致性问题和离散时间系统稳定性之间的本质联系。利用广义Nyquist稳定性判定准则和矩阵特征值相关理论,推导出多智能体离散时间系统在信息交换拓扑为无向连通图且带有输入延时的条件下达到渐近一致的充分条件。仿真结果与理论分析相符,在无向连通图条件下,当输入延时小于或等于该充分条件给出的标准延时,多智能体系统可以达到渐进一致。     

联合连通拓扑下多无人机编队控制

针对在联合连通拓扑条件下的多无人机系统,研究了具有二阶动力学系统模型的多无人机系统时变编队控制问题。基于一致性理论,设计了一致性控制器,将联合连通拓扑条件下的编队控制问题简化为低阶时间平均系统的渐进稳定性问题。利用Lyapunov函数证明了所设计的控制器能够实现编队控制,并利用线性矩阵不等式(LMI)方法给出了控制器的设计算法。在三维空间中,对多无人机系统进行了仿真,验证了所设计的一致性控制器能够使得多无人机系统在联合连通拓扑条件下形成时变编队。     

机翼颤振的鲁棒自适应切换控制

将机翼颤振问题对应的气动伺服弹性系统动态,看做沿飞行轨迹或特定飞行动作的若干模型的连续切换,引入切换系统描述其包线内的动态特性。进而,基于多Lyapunov函数方法和模型参考自适应控制(MRAC)理论,提出一种机翼颤振鲁棒自适应切换控制方案。该方案允许不同速度设计点的模型及对应控制器进行快速切换,以全面覆盖飞行包线内的系统动态,获得良好的机翼颤振主动抑制效果,有效规避自适应控制需要参数缓慢变化的缺陷。同时,构建Lure-Postnikov形式的Lyapunov函数,采用多Lyapunov函数方法,以线性矩阵不等式的形式,推导闭环切换系统为有界MRAC系统的充分条件,确保飞行包线内颤振抑制的全局稳定性。     

变体无人机动力学模型及切换控制研究

针对能够在飞行过程中进行结构变形的变体无人机,考虑由变形引起的气动力与力矩,惯性力与力矩的非线性变化,建立其在质点系假设条件下的多体动力学模型。根据切换系统理论,将变体无人机视为一类线性切换系统,选择设计点,采用极点配置方法针对各设计点处的线性子系统设计控制器,再制定以变形量为决策变量的控制切换方案,构成切换控制系统。通过建立公共Lyapunov函数,推导了能够保证闭环切换系统在结构变形过程中一致有界的充分条件。以变体无人机Fire-Bee为例,验证了方案的有效性,仿真结果表明闭环系统无论在固定结构下还是变形过程中都具有良好的动态特性。     

一类连续线性切换系统的H∞滤波

研究一类连续线性切换系统的H∞滤波问题.首先,利用共同Lyapunov函数方法,给出了切换系统H∞滤波器的存在条件;其次,利用线性矩阵不等式技术,将H∞滤波器的存在性问题转变成一组线性矩阵不等式(LMIs)的可行性问题,根据LMIs的可行解,给出H∞滤波器的设计方法,由该方法得到的滤波器保证滤波误差动态系统满足给定的H...     

不确定广义时滞系统的参数依赖指数镇定

研究了具有凸多面体不确定广义时滞系统的时滞相关型指数镇定问题。首先,利用Lyapunov稳定性定理和线性矩阵不等式工具,给出了标称的广义时滞系统正则、无脉冲和指数稳定的时滞相关型充分条件。在此基础上,采用参数依赖Lyapunov函数方法,设计了使闭环系统正则、无脉冲和指数稳定的时滞相关型状态反馈控制器,并给出了相应控制器的显式表示。     

基于固定阈值事件触发扩张状态观测器的多智能体协同目标环绕控制

针对复杂多扰环境下面向未知运动目标的多智能体对峙跟踪问题,提出了一种基于固定阈值事件触发扩张状态观测器(FTESO)的多智能体协同目标环绕控制方法。首先,建立了智能体与目标的相对运动模型,将目标加速度、模型非线性、环境摄动视为集总干扰,利用量测的相对位置信息构造可降低测量端状态更新频次的FTESO,以实现在非周期采样条件下对于相对速度不可测和集总干扰未知的精准估计。其次,结合速度方向场理论生成目标与智能体间的期望相对速度,根据相邻智能体间的相对角间距信息与FTESO的观测结果,设计了一种不依赖目标加速度信息的多智能体相位协同一致性协议,使得多智能体能够以指定环绕半径、环绕角速度和相对角间距实现对未知运动目标的环绕跟踪。借助Lyapunov稳定性理论,证明了闭环系统中所有误差信号最终一致有界。最后,通过仿真和比较结果验证了所提算法的有效性。     

异构多智能体系统分组输出时变编队跟踪控制

空地协同控制是前沿的热点研究之一,以无人机、无人车为代表的空地智能体动力学模型的差异为研究带来了挑战。研究了高阶异构多智能体系统在有向拓扑条件下的分组输出时变编队跟踪控制问题,提出了虚拟领导者、分组领导者以及跟随者组成的三层协同控制架构。虚拟领导者用于规划整个多智能体系统的状态轨迹,分组领导者跟踪虚拟领导者所提供的轨迹信息,并相互协作以实现分组间的协同配合。跟随者跟踪分组领导者的输出并实现期望的输出编队。在有向通信拓扑结构条件下,基于局部邻居间的相对信息、观测器理论和滑模控制理论构造了控制协议,利用Lyapunov稳定性理论证明协议的有效性。数值仿真结果表明提出的方法能够实现无人机、无人车等异构智能体的空地协同,具有较好的工程应用价值。     

Robust leaderless time-varying formation control for unmanned aerial vehicle swarm system with Lipschitz nonlinear dynamics and directed switching topologies

This paper tackles the robust leaderless Time-Varying Formation(TVF) control problem for the Unmanned Aerial Vehicle(UAV) swarm system with Lipschitz nonlinear dynamics, external disturbances and directed switching topologies. In comparison with the previous achievements on formation control problems, the UAV swarm system with Lipschitz nonlinear dynamics can accomplish the pre-designed TVF while tracking a pre-given trajectory which is produced by a virtual leader UAV in the presence of externa...     

Distributed cooperative guidance for multiple missiles with fixed and switching communication topologies

This study investigates cooperative guidance problems for multiple missiles with fixed and switching directed communication topologies.A two-step guidance strategy is proposed to realize the simultaneous attack.In the first step,a distributed cooperative guidance law is designed using local neighboring information for multiple missiles to achieve consensus on range-to-go and leading angle.The second step begins when the consensus of multiple missiles is realized.During the second step,multiple missiles disconnect from each other and hit the target using the proportional navigation guidance law.First,based on the local neighboring communications,a sufficient condition for multiple missiles to realize simultaneous attack with a fixed communication topology is presented,where the topology is only required to have a directed spanning tree.Then,the results are extended to the case of switching communication topologies.Finally,numerical simulations are provided to validate the theoretical results.     

无人机编队构成的分散最优控制方法研究

针对无长机带领、具有固定无向通信拓扑的无人机编队构成控制问题,提出了一种基于"相邻"无人机状态反馈的分散最优控制方法。该方法采用Laplacian矩阵描述编队通信结构,以"相邻"无人机与编队构型间的相对状态误差构建分散最优控制模型,并通过求解具有LMI约束的线性目标最优化问题得到编队各无人机的分散最优控制律。该方法使得多无人机在分散协同的前提下,基于局部信息快速准确地形成预定编队构型,达到运动方向和速度的一致性。仿真实验验证了该方法的有效性。     

Robust dynamic output feedback control for switched polytopic systems under asynchronous switching

The robust controller design problem for switched polytopic systems under asynchronous switching is addressed.These systems exist in many aviation applications, such as dynamical systems involving rapid variations.A switched polytopic system is established to describe the highly maneuverable technology vehicle within the full flight envelope and a robust dynamic output feedback control method is designed for the switched polytopic system.Combining the Lyapunov-like function method and the average dwell time method, a sufficient condition is derived for the switched polytopic system with asynchronous switching and data dropout to be globally,uniformly and asymptotically stable in terms of linear matrix inequality.The robust dynamic output feedback controller is then applied to the highly maneuverable technology vehicle to illustrate the effectiveness of the proposed approach.The simulation results show that the angle of attack tracking performance is acceptable over the time history and the control surface responses are all satisfying along the full flight trajectory.     

Three-dimensional finite-time cooperative guidance for multiple missiles without radial velocity measurements

In order to simultaneously attack a target with impact angle constraint in threedimensional(3-D) space, a novel distributed cooperative guidance law for multiple missiles under directed communication topologies is proposed without radial velocity measurements. First, based on missiles-target 3-D relative motion equations, the multiple missiles cooperative guidance model with impact angle constraint is constructed. Then, in Line-of-Sight(LOS) direction, based on multiagent system cooperative control theory, one guidance law with directed topologies is designed with strict proof, which can guarantee finite time consensus of multiple missiles' impact times. Next, in elevation direction and azimuth direction of LOS, based on homogeneous system stability theory and integral sliding mode control theory, two guidance laws are proposed respectively with strict proof, which can guarantee LOS angles converge to desired values and LOS angular rates converge to zero in finite time. Finally, the effectiveness of the designed cooperative guidance law is demonstrated through simulation results.     

Calculation of decoupling zeroes in the multiconnected dynamic system

A recursive method for calculating decoupling zeroes in the linear multiconnected dynamic system based on the application of matrix canonization techniques is proposed. Its essence is that the problem dimension is successively decreased and reduced to finding eigenvalues of some matrix. The results obtained can be used to check controllability and observability as well as to calculate uncontrollable and unobservable modes of the dynamic system.     

基于切换多胞LPV的涡扇发动机全包线中间状态控制

针对航空发动机全包线内参数变化范围较大,单一控制器很难保证全包线内的控制效果的问题,提出了基于切换多胞线性变参数（LPV）的发动机全包线中间状态控制方法.根据发动机的进口条件将飞行包线分为相互重叠的子区域,将多胞理论及状态重置切换方法引入控制器求解,给出了能够保证切换多胞LPV系统鲁棒稳定的线性矩阵不等式（LMI）条件;利用求解出的Lyapunov矩阵设计各子区域的LPV控制器,并结合几何位置调度策略实现子区域LPV控制;利用局部重叠的滞后切换策略和状态重置切换律实现全包线内各控制器的切换,并证明了该闭环切换系统的稳定性.最终以某型涡扇发动机为研究对象进行仿真验证,结果表明:采用该控制方法稳态误差能够控制在0.1%以内,超调量不大于0.5%.      

Adaptive distributed observer design for containment control of heterogeneous discrete-time swarm systems

This paper develops both adaptive distributed dynamic state feedback control law and adaptive distributed measurement output feedback control law for heterogeneous discrete-time swarm systems with multiple leaders. The convex hull formed by the leaders and the system matrix of leaders is estimated via an adaptive distributed containment observer. Such estimations will feed the followers so that every follower can update the system matrix of the corresponding adaptive distributed containment observer and the system state of their neighbors. The followers cooperate with each other to achieve leader–follower consensus and thus solve the containment control problem over the network. Numerical results demonstrate the effectiveness and computational feasibility of the proposed control laws.