A Scheduling Approach for Systems with Actuator Constraints

具有执行器约束的系统的调度方法

• 批准号: 0510874
• 负责人: Faryar Jabbari
• 金额: $ 20万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-08-01 至 2009-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0510874&HistoricalAwards=false
• 关键词: Scheduling; Approach; Systems; Actuator; Constraints

A Scheduling Approach for Systems with Actuator ConstraintsCMS-0510874PI: F. JabbariUniversity of California-IrvineAbstractThis research seeks to develop a new class of high performance output-feedback scheduled controllers, for systems with bounded actuators and other constraints (such as actuator rate or state bounds). Performance is defined as guaranteed levels of disturbance attenuation, primarily in terms of the energy gain from the disturbance to the outputs, though other measures are also possible. The main assumptions are knowledge of the constraints (e.g., saturation limits, rate bounds) and a possibly conservative estimate of the worst-case disturbance (e.g., maximum peak ground acceleration in earthquake applications). The estimate for the peak disturbance is used to establish stability and minimum performance guarantees in all cases. The scheduling is aimed at removing potential conservatism, and providing stronger performance, when the disturbance is less severe than the worst case. The proposed research includes control theoretic tasks, aimed at characterizing the scheduled controllers with convex optimization problems, and tasks that focus on the computational aspects of these optimization problems. The latter includes techniques to lower significantly the computational burden by solving a sequence of modest sized optimization problems, instead of a single problem with a large dimension. Tasks concerning the integration of the proposed scheduling technique with the traditional anti-windup approach are included also.The main motivation has been developing safe and reliable high performance control laws for protection of buildings, bridges, and similar large systems in civil infrastructure. Given the very large sizes, and the abrupt and destructive nature of the disturbances (e.g., earthquakes or wind gusts), there is a strong need for controllers that can adjust (or in the terminology of the proposed research, schedule) the control law to maximize the effectiveness of the inherently limited actuation mechanisms. The proposed approach can tolerate a great deal of uncertainty regarding the nature of the disturbance. It also guarantees overall stability and improved performance, while providing explicit tools for cost/benefit analysis regarding the size of the actuator vs. performance guarantees. The proposed research in computational aspects, in which the main problem is broken into a sequence smaller problems, is essential for application to large structures with very large models. Additionally, with some modifications, the proposed technique can be applied to structures equipped with several classes of semi-active devices. These aspects are necessary for the eventual acceptance of the proposed control framework by the structural community.

具有执行器约束的系统的调度方法CMS-0510874PI：F.Jabbari加州大学欧文分校摘要本研究旨在开发一类新的高性能输出反馈调度控制器，用于具有有限执行器和其他约束(如执行器速率或状态界)的系统。性能被定义为干扰衰减的保证水平，主要是根据从干扰到输出的能量增益，尽管也可以有其他衡量标准。主要假设是对约束条件的了解(例如，饱和极限、速率界限)和对最坏情况下的干扰的可能保守估计(例如，地震应用中的最大峰值地面加速度)。在所有情况下，峰值扰动的估计被用来建立稳定性和最低性能保证。该调度的目的是消除潜在的保守性，并在扰动没有最坏情况下严重时提供更强的性能。所提出的研究包括控制理论任务，旨在刻画具有凸优化问题的调度控制器，以及专注于这些优化问题的计算方面的任务。后者包括通过解决一系列中等规模的优化问题来显著降低计算负担的技术，而不是解决一个大维度的单一问题。此外，还包括将所提出的调度技术与传统的抗终结方法相结合的任务。主要动机是开发安全可靠的高性能控制律，用于保护民用基础设施中的建筑物、桥梁和类似的大型系统。由于扰动的规模非常大，并且具有突发性和破坏性(例如地震或阵风)，因此迫切需要控制器能够调整(或在拟议研究的术语中，调度)控制律，以最大限度地提高固有有限的执行机构的有效性。建议的方法可以容忍有关干扰性质的极大不确定性。它还保证了整体稳定性和改进的性能，同时为执行机构尺寸与性能保证的成本/效益分析提供了明确的工具。所提出的计算方面的研究，将主要问题分解为一系列较小的问题，对于应用于具有非常大模型的大型结构是必不可少的。此外，通过一些修改，所提出的技术可以应用于配备了几类半主动器件的结构。这些方面对于结构界最终接受拟议的控制框架是必要的。