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Robust analysis and synthesis of uncertain linear hybrid systems with networked control applications.

机译：具有网络控制应用的不确定线性混合系统的鲁棒分析和综合。

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摘要

This dissertation investigates the robust analysis and control of uncertain hybrid systems, which are perturbed by time-variant parametric uncertainties and persistent disturbances. Three kinds of hybrid control problems are considered: robust tracking and regulation control, robust stabilization, and robust performance.; For robust tracking and regulation control, the aim is to design hybrid control law so that all the trajectories starting from a given initial region in the state space can be driven to a specified target region while satisfying certain state and control constraints. This problem is solved by a backward reachability analysis approach, and a linear programming based model predictive control scheme. The problem of robust stabilization for uncertain hybrid systems is then formulated and studied in the framework of tracking and regulation control.; Next, the persistent disturbance attenuation problems are considered for the uncertain hybrid systems. It is shown that the robust optimal disturbance attenuation control law can be implemented as piecewise linear state feedback. However, the difficulty is that the disturbance attenuation property analysis problem for general uncertain hybrid systems is undecidable. An important question is then to specify the decidable class for the robust performance analysis problem. It is proved that the robust analysis and synthesis procedures terminate in finite number of steps for switched linear systems under certain conditions.; Switched linear systems represent an interesting subclass of hybrid systems with simplified discrete event dynamics. One of the most elusive problems in the switched system's literature has been the switching stabilizability problem, that is under what condition it is possible to stabilize a switched system by properly designing switching control laws. A necessary and sufficient condition for the asymptotic stabilizability of switched linear systems is introduced here, which is an improvement upon the sufficient only conditions found in the literature.; Considering a class of applications, networked control systems (NCSs) with uncertain access delay and packet dropouts are studied in the framework of switched systems. The stability and disturbance attenuation properties of such NCSs are explored. In particular, two different switched system approaches are proposed. In the first approach, which is based upon the assumption that the access delay and consecutive packet dropouts are bounded, an arbitrary switching system model is obtained by incorporating all possible delay-dropout patterns and relaxing the switching signal to be arbitrary. Alternatively, the second approach is based on average dwell time concepts and restricts the occurring frequency and the number of dropped and delayed packets in the time average sense. In addition, a stability and L2 performance preserving network bandwidth management policy is proposed based on the average dwell-time approach.
机译：本文研究时变参数不确定性和持续扰动对不确定混合系统的鲁棒分析和控制。考虑了三种混合控制问题：鲁棒的跟踪和调节控制，鲁棒的稳定性和鲁棒的性能。对于鲁棒的跟踪和调节控制，其目的是设计混合控制定律，以便在满足某些状态和控制约束的情况下，可以将从状态空间中给定初始区域开始的所有轨迹驱动到指定的目标区域。通过向后可达性分析方法和基于线性规划的模型预测控制方案解决了该问题。然后，在跟踪和调节控制的框架内，提出并研究了不确定混合系统的鲁棒镇定问题。接下来，考虑不确定混合系统的持续扰动衰减问题。结果表明，鲁棒最优扰动衰减控制律可以实现为分段线性状态反馈。然而，困难在于对于一般不确定的混合系统，干扰衰减特性分析问题是不确定的。然后，一个重要的问题是为健壮的性能分析问题指定可判定的类别。证明了在某些条件下，鲁棒分析和合成过程以有限的步长终止于切换线性系统。切换线性系统代表具有简化的离散事件动态特性的混合系统的一个有趣子类。开关系统文献中最难以捉摸的问题之一是开关稳定性问题，即在什么条件下可以通过适当设计开关控制定律来稳定开关系统。这里介绍了线性切换系统的渐近稳定性的充要条件，它是对文献中仅有的充分条件的改进。考虑到一类应用，在交换系统的框架内研究了具有不确定访问延迟和数据包丢失的网络控制系统（NCS）。探索了此类NCS的稳定性和干扰衰减特性。特别地，提出了两种不同的交换系统方法。在第一种方法中，该方法基于访问延迟和连续数据包丢失有界的假设，通过合并所有可能的延迟丢失模式并将开关信号放宽为任意值，可以获得任意开关系统模型。或者，第二种方法基于平均停留时间概念，并在时间平均意义上限制发生的频率以及丢弃和延迟的数据包的数量。另外，基于平均停留时间的方法，提出了一种稳定性和二级性能的网络带宽管理策略。

著录项

  • 作者

    Lin, Hai.;

  • 作者单位

    University of Notre Dame.;

  • 授予单位 University of Notre Dame.;
  • 学科 Engineering System Science.
  • 学位 Ph.D.
  • 年度 2005
  • 页码 208 p.
  • 总页数 208
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 系统科学;
  • 关键词

  • 入库时间 2022-08-17 11:41:32

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