Parameterization of All Output-Rectifying Retrofit Controllers

• 成果类型: Article
• 署名作者: Sasahara, Hampei; Ishizaki, Takayuki; Imura, Jun-ichi
• 署名单位: Royal Institute of Technology; Institute of Science Tokyo; Tokyo Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3082513
• 发表日期: 2022
• 页码: 2537-2543
• 关键词: Stability analysis; Interconnected systems; Design methodology; systematics; Closed loop systems; Aerospace electronics; Structural rings; Distributed design; large-scale systems; Network systems; retrofit control; Youla parameterization

摘要

This article investigates a parameterization of all output-rectifying retrofit controllers for distributed design of a structured controller. It has been discovered that all retrofit controllers can be characterized as a constrained Youla parameterization, which is difficult to solve analytically. For synthesis, a tractable and insightful class of retrofit controllers, referred to as output-rectifying retrofit controllers, has been introduced. An unconstrained parameterization of all output-rectifying retrofit controllers can be derived under a technical assumption on measurability of the interaction signal. The aim of this article is to reveal the structure of all output-rectifying retrofit controllers in the general output-feedback case without interaction measurement. It is found out that the existing developments can be generalized based on system inversion. The result leads to the conclusion that output-rectifying retrofit controllers can readily be designed even in the general case.