Decentralized Implementation of a Class of Centralized LTI Controllers for Two-Channel Systems Using Periodic Control

• 成果类型: Article
• 署名作者: Deshmukh, Ankit; Ghosh, Arun
• 署名单位: Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kharagpur
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3098107
• 发表日期: 2022
• 页码: 3180-3187
• 关键词: Linear systems; Time-varying systems; oscillators; Closed loop systems; Design methodology; decentralized control; Transfer functions; Centralized LTI control; decentralized periodic control; two-channel system

摘要

Given a centralized linear time-invariant (LTI) controller, this article investigates if and when the same can be implemented in a decentralized fashion using continuous-time, high-frequency, periodic controllers, recently reported in literature, without compromising input-output performance in averaged sense. In this regard, it is shown that for a strongly connected two-channel system having each subsystem of equal sizes, there exists a relation to compute the decentralized periodic controller gains in terms of the gains of a given centralized LTI controller if the latter is minimum-phase, stable, and satisfies some relative degree conditions. A method to satisfy this relative degree constraint while designing the centralized LTI controller is developed. A suitable example is considered to show that the proposed decentralized periodic controller can mimic a centralized LTI controller in averaged sense. At the end, it is found that the proposed decentralized periodic controller, however, does not have enough number of periodic gains to obtain the above relation to compute its parameters for systems with more than two channels.