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Structured optimal and robust control with multiple criteria: a convex solution

机译:具有多个条件的结构化最优鲁棒控制:凸解决方案

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摘要

In this paper, the design of controllers that incorporate structural and multiobjective performance requirements is considered. The control structures under study cover nested, chained, hierarchical, delayed interaction and communications, and symmetric systems. Such structures are strongly related to several modern-day and future applications including integrated flight propulsion systems, platoons of vehicles, micro-electro-mechanical systems, networked control, control of networks, production lines and chemical processes. It is shown that the system classes presented have the common feature that all stabilizing controllers can be characterized by convex constraints on the Youla-Kucera parameter. Using this feature, a solution to a general optimal performance problem that incorporates time domain and frequency domain constraints is obtained. A synthesis procedure is provided which at every step yields a feasible controller together with a measure of its performance with respect to the optimal. Convergence to the optimal performance is established. An example of a multinode network congestion control problem is provided that illustrates the effectiveness of the developed methodology.
机译:在本文中,考虑了结合结构和多目标性能要求的控制器设计。研究中的控制结构包括嵌套,链接,分层,延迟的交互和通信以及对称系统。这种结构与现代和未来的几种应用密切相关,包括集成的飞行推进系统,车辆排,微机电系统,网络控制,网络控制,生产线和化学过程。结果表明,所提出的系统类别具有共同的特征,即所有稳定控制器都可以通过对Youla-Kucera参数的凸约束来表征。使用此功能,可以获得对包含时域和频域约束的一般最佳性能问题的解决方案。提供了一种综合程序,该程序在每个步骤都会产生一个可行的控制器,以及针对最佳性能的度量。建立到最佳性能的收敛。提供了一个多节点网络拥塞控制问题的示例,该示例说明了所开发方法的有效性。

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