【作者】 张凡；

【导师】 张世杰；

【作者基本信息】 哈尔滨工业大学 ， 飞行器设计， 2010， 硕士

【摘要】 航天器编队系统通过多航天器协同工作以完成诸多单一航天器难以完成的空间任务,近十年来备受国际航天领域的广泛关注。编队协同控制是实现航天器编队飞行的关键技术之一,也是航天领域研究的热点与难点,尚没有完善成熟的解决方案。本文利用代数图论这一形式化数学工具,研究了基于变权无向图的二阶一致性算法,并将其应用于航天器编队初始化防碰撞协同控制和相对方位约束下的航天器编队姿态同步协同控制等问题,取得了以下创新研究成果:为了提高基于加权无向图一致性算法的分布式协同控制系统的性能,针对二阶多智能体系统,提出了一类与状态变量相关加权一致性(SBWC: State-Based Weighted Consensus)算法,通过对其进行渐近一致性分析给出了此类状态相关变权系数的选取条件。分别针对无Leader和一个固定Leader这两种编队情况,基于人工势场法给出了与位置矢量相关的无向图加权策略,进而给出了相应的二阶一致性算法,同时基于LaSalle不变集原理证明了该算法的渐近一致性,并通过数值仿真验证了该算法的一致性。针对航天器编队初始化协同控制任务,给出了基于匈牙利算法的顶层任务分配策略和基于SBWC的底层分布式协同控制策略相结合的分散式递阶控制结构。针对底层分布式协同控制,构造了与航天器相对位置矢量反相关的人工势函数,在此基础上给出了基于SBWC的航天器编队初始化协同控制算法,有效地解决了编队初始化过程中的碰撞问题。这也解决了多固定Leader下编队的一致性协同控制问题。最后,通过理论证明了该算法的渐近稳定性,通过数学仿真验证了该算法在编队构型初始化过程中的防碰撞性能。针对基于激光或视觉等相对状态测量敏感器具有相对方位约束要求的问题,为了确保航天器编队姿态同步过程中相对方位满足该约束条件,构造了与航天器相对姿态正相关的人工势函数,给出了相对方位约束下的航天器编队姿态同步协同控制算法,基于LaSalle不变集原理证明了该算法的渐近稳定性,并通过数学仿真验证了其性能。更多还原

【Abstract】 The spacecraft formation system which could enable large numbers of uncomplicated and inexpensive spacecrafts to work cooperatively to accomplish complex aerospace missions which a giant one even can’t has gotten the international aerospace academics’interest in resent decade. The most pivotal and difficult technology to achieve the spacecraft formation is the cooperative control on which there isn’t successful experience. A kind of state-based variable-weighted consensus algorithms whose weights could be designed for some specific purposes has been proposed in this dissertation by undirected graphs. This paper accomplished two aerospace missions considering collision avoidance during spacecraft formation initialization and limited opposite directions during synchronizing attitudes utilizing the consensus algorithms. The innovations this paper make are following.A kind of stated-based weighted consensus (SBWC) algorithms has been proposed to improve the performance of the steady-weighted consensus algorithms for double-integrator dynamics systems. The demands of the weights have been given through the analysis of the system consensus. For a fixed Leader case and a Leaderless case, the double-integrator consensus algorithms have been proposed utilizing the artificial potential functions. The consensus has been proved by LaSalle’s Invariance principle. The simulation results are provided to demonstrate the algorithms’performance.A distributed hierarchical control structure constituting of Hungarian algorithm based task assignment and SBWC based cooperative control for spacecrafts initialization has been proposed. A kind of artificial potential function anti-interrelated with spacecrafts’relative positions has been constructed. Then a SBWC based cooperative control law has been proposed to avoid the collision during spacecrafts initialization. Finally the collision avoidance mechanism has been demonstrated by simulation results.There are constraint conditions of relative orientation in laser/vision based relative states measurement systems. To satisfy the constraint during spacecrafts attitudes synchronization, a SBWC based cooperative control law has been proposed and the weights interrelated with relative attitudes have been given. This law has been proved by LaSalle’Invariance principle and demonstrated by simulation results.更多还原