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Modeling and shape control of a segmented-mirror telescope.

机译:分段镜望远镜的建模和形状控制。

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The Advanced Structure/Control Integrated Experiment (ASCIE) is an optical telescope consisting of seven hexagonal segments mounted on a light-weight flexible truss. The position and the attitude of the six peripheral segments are actively controlled by 18 electromagnetic actuators to keep the segments optically aligned. 24 inductance sensors are used to measure the relative displacements between the segments. Optical performance requires keeping the piston displacement errors within 50 namometers and the tilt errors within.1 arcsecond relative to the central segment.; Disturbability, controllability/observability and static fidelity analyses are used to eliminate modes from the Finite Element Model while keeping enough of the dynamic and static characteristics of the system for evaluation and control design purposes. New optimal and aggregation based algorithms are introduced for matching impulse and step responses. When a feedthrough term is allowed in the reduced order model and when the step responses are matched, the aggregation technique returns the same model as a modal truncation technique which would treat the neglected modes as quasi-steady. The control design model contains 30 modes. The first 20 modes are tightly clustered within the projected control bandwidth. The other 10 modes are in the cross-over region. 20 neglected modes that can be potentially destabilized by spillover are less than a decade away from the control bandwidth.; A systematic norm-preserving procedure is developed to take advantage of the six fold symmetry of the ASCIE and to decompose the control design model into input/output decoupled subsystems. Two subsystems are formed: one with 22 modes, 12 controls and 12 measurements, the other with 8 modes, 6 controls and 6 measurements. The decomposition reduces by a factor of 3 the CPU time needed to compute the control logic.; Worst case control design methods that trade performance, parameter stability margins, and spillover margins are used to synthesize the control laws. New macros that can be incorporated in standard software control packages have been developed to facilitate the implementation of these design methods (block-diagram-based interconnection of multivariable systems). To avoid the spillover instability, 60dB/decade of roll-off are needed for a control bandwidth of 10-12 Hz. (Abstract shortened with permission of author.)
机译:高级结构/控制综合实验(ASCIE)是一种光学望远镜,由安装在轻质柔性桁架上的七个六角形部分组成。六个外围部分的位置和姿态由18个电磁致动器主动控制,以使这些部分保持光学对准。 24个电感传感器用于测量段之间的相对位移。光学性能要求将活塞位移误差保持在50纳米以内,倾斜误差保持在相对于中心线段1弧秒以内。可扰性,可控性/可观察性和静态保真度分析用于消除有限元模型中的模式,同时保留系统的足够动态和静态特性以用于评估和控制设计目的。引入了新的基于最优和聚合的算法,用于匹配脉冲和阶跃响应。当降阶模型中允许使用馈通项并且匹配阶跃响应时,聚合技术将返回与模态截断技术相同的模型,该模型将忽略的模态视为准稳态。控制设计模型包含30种模式。前20个模式紧密地聚集在预计的控制带宽内。其他10种模式位于交叉区域。 20种被溢出可能破坏稳定的被忽略的模式距离控制带宽不到十年。开发了系统的规范保留程序,以利用ASCIE的六重对称性并将控制设计模型分解为输入/输出解耦子系统。形成两个子系统:一个子系统具有22个模式,12个控件和12个测量值,另一个子系统具有8个模式,6个控件和6个测量值。分解将计算控制逻辑所需的CPU时间减少了三倍。权衡性能,参数稳定性裕度和溢出裕度的最坏情况控制设计方法用于综合控制律。已经开发出可以并入标准软件控制包中的新宏,以促进这些设计方法的实现(多变量系统的基于块图的互连)。为了避免溢出不稳定性,对于10-12 Hz的控制带宽,需要60dB /十倍的滚降。 (摘要经作者许可缩短。)

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