Near optimal H∞ performance in the decentralized setting

被引：0
|
作者：
Ranganathan, Thananjayan [1 ]
Miller, Daniel E. [1 ]
机构：
[1] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2018年 / 30卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Decentralized control; H-infinity-optimal control; Linear periodic control; Decentralized fixed modes (DFMs); OPTIMAL LQR PERFORMANCE; TIME-VARYING FEEDBACK; STABILIZATION; SYSTEMS;
D O I：
10.1007/s00498-018-0217-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider the use of a linear periodic controller (LPC) for the control of linear time-invariant (LTI) plants in the decentralized setting with an -performance criterion in mind. Here we show that if the plant is centrally stabilizable and detectable, the graph associated with the plant is strongly connected, and a technical condition on the relative degree holds, then we can design a decentralized LPC to provide a level of performance as close as desired to that provided by a given (stabilizing) LTI centralized controller; this will be the case even if the plant has an unstable decentralized fixed mode (DFM). This means, in particular, that under the listed conditions, we can design a decentralized LPC to provide near H-infinity-optimal centralized performance.
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页数：39
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