Optimal Reference Tracking, the Next Step in the Design of Controllers for Markovian Jump Linear Systems

最优参考跟踪，马尔可夫跳跃线性系统控制器设计的下一步

• 批准号: 0727659
• 负责人: Nuno Miguel Martins
• 金额: --
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-09-01 至 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0727659&HistoricalAwards=false
• 关键词: Optimal; Reference; Tracking; Next; Step

This proposal outlines a two year research program for developing the first collection of methods, for designing controllers that achieve optimal reference tracking, for randomly time-varying systems. As a first step, the PI adopts a Markovian jump linear system formulation because it retains the tractability of the linear deterministic case, while featuring a stochastic variation of its underlying structure. Recent results provide solutions to the H2 and H_inf optimal regulator (no reference) problems, for Markovian jump linear systems. However, the paradigm described in this proposal, where a reference has to be tracked, has not been investigated and it cannot be addressed by methods based on classical adaptations of optimal regulation theory, such as the internal model principle. The PI expects that an efficient design methodology will rely on a new framework for the joint design of the state-estimator, the state-feedback controller and the feedforward terms, using linear matrix inequality techniques. The research outlined in this proposal will also unveil structural properties of servomechanisms that achieve optimal reference tracking, in the presence of random or intermittent failures. Modern engineering systems are often made of a complex assemblage of mechanical components, electro-mechanical devices and sensors. Due to sudden fluctuations in the environment, component failure or assemblage interconnection disruptions, such systems may exhibit abrupt changes in their structure. Often, such variations are of an unpredictable, random or intermittent nature. Energy harvesting facilities, such as solar power plants, are examples of systems whose dynamic behavior depends directly on environmental parameters that may fluctuate randomly. Further examples abound, such as automobiles and manufacturing facilities, where actuator or sensor intermittent failures may occur. In this proposal, the PI plans to develop the first set of tools for the performance analysis, and the design of controllers that achieve optimal reference tracking in the presence of plants whose structure varies in a random and unpredictable way. The PI expects that the outcomes of the proposed research will enable the design of control systems that are safer and more efficient, in the presence of random and abrupt changes in the physical plant?s structure.

该提案概述了一项为期两年的研究计划，旨在开发第一批方法，为随机时变系统设计实现最佳参考跟踪的控制器。作为第一步，PI 采用马尔可夫跳跃线性系统公式，因为它保留了线性确定性情况的易处理性，同时具有其基础结构的随机变化。最近的结果为马尔可夫跳跃线性系统的 H2 和 H_inf 最优调节器（无参考）问题提供了解决方案。然而，该提案中描述的必须跟踪参考的范式尚未被研究，并且不能通过基于最优调节理论的经典改编的方法（例如内部模型原理）来解决。 PI 期望高效的设计方法将依赖于使用线性矩阵不等式技术联合设计状态估计器、状态反馈控制器和前馈项的新框架。该提案中概述的研究还将揭示伺服机构的结构特性，在出现随机或间歇性故障的情况下实现最佳参考跟踪。现代工程系统通常由机械部件、机电设备和传感器的复杂组合组成。由于环境的突然波动、组件故障或装配互连中断，此类系统可能会出现结构突然变化。通常，这种变化具有不可预测的、随机的或间歇性的性质。能量收集设施（例如太阳能发电厂）是动态行为直接取决于可能随机波动的环境参数的系统示例。更多的例子比比皆是，例如汽车和制造设施，其中可能会发生执行器或传感器间歇性故障。在该提案中，PI 计划开发第一套用于性能分析和控制器设计的工具，以在结构以随机且不可预测的方式变化的情况下实现最佳参考跟踪。 PI 预计，在物理工厂结构出现随机和突然变化的情况下，拟议研究的结果将能够设计出更安全、更高效的控制系统。