• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Automatic Control, IEEE Transactions on >Transformation of Optimal Centralized Controllers Into Near-Globally Optimal Static Distributed Controllers
【24h】

Transformation of Optimal Centralized Controllers Into Near-Globally Optimal Static Distributed Controllers

机译：将最优集中控制器转换为近全局最优静态分布式控制器

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper is concerned with the optimal static distributed control problem for linear discrete-time deterministic and stochastic systems. The objective is to design a stabilizing static distributed controller whose performance is close to that of the optimal centralized controller. To this end, we first consider deterministic systems, where the initial state is either given or belongs to a known bounded region. Given an arbitrary centralized controller, we derive a condition under which there exists a distributed controller that generates input and state trajectories close to their counterparts in the centralized closed-loop system. This condition for the design of a distributed controller is translated into an optimization problem, where the optimal objective value of this problem quantifies the closeness of the designed distributed and given centralized control systems. The results are then extended to stochastic systems that are subject to input disturbance and measurement noise. The proposed optimization problem has a closed-form solution (explicit formula) and can be efficiently solved for large-scale systems. The mathematical framework developed in this paper is utilized to design a near-globally optimal distributed controller based on the optimal centralized controller, and strong theoretical lower bounds on the global optimality guarantee of the obtained distributed controller are derived. We show that if the optimal objective value of the proposed convex program is sufficiently small, the designed controller is stabilizing and nearly globally optimal. To illustrate the results, case studies on aircraft formation and frequency control of power systems are offered.
机译：本文涉及线性离散时间确定性和随机系统的最优静态分布控制问题。目的是设计一种性能接近最佳集中控制器的稳定静态分布式控制器。为此，我们首先考虑确定性系统，其中初始状态是给定的或属于已知的有界区域。给定一个任意的集中式控制器，我们得出一个条件，即存在一个分布式控制器，该控制器生成的输入和状态轨迹接近于集中式闭环系统中的对应轨迹。设计分布式控制器的条件转化为优化问题，该问题的最佳目标值量化了设计的分布式控制系统和给定集中控制系统的紧密度。然后将结果扩展到受输入干扰和测量噪声影响的随机系统。所提出的优化问题具有封闭形式的解决方案（显式公式），并且可以有效地解决大型系统的问题。利用本文开发的数学框架，在最优集中控制器的基础上设计了一种近全局最优的分布式控制器，得出了所获得的分布式控制器的全局最优保证的强理论下界。我们表明，如果所提出的凸程序的最优目标值足够小，则设计的控制器将处于稳定状态，并且几乎是全局最优的。为了说明结果，提供了有关飞机编队和动力系统频率控制的案例研究。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号