Linear Output Regulation for Unknown Stable Systems With Uncertain Minimum-Phase Actuators

• 成果类型: Article
• 署名作者: Verrelli, Cristiano Maria; Tomei, Patrizio
• 署名单位: University of Rome Tor Vergata
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3247545
• 发表日期: 2023
• 页码: 7848-7854
• 关键词: Linear actuator; linear output regulation; minimum phase; stable system; uncertain system

摘要

Consider a linear stable system-described by the transfer function P(s) of unknown parameters, unknown order, and unknown relative degree-under a linear exosystem generating biased multisinusoidal references and/or disturbances with at most q different known frequencies omega(i), i = 1,& mldr;,q . It has been recently established that a linear regulator with minimal order (2q + 1) exists under the knowledge of the positive or negative signs of i) P(0) and ii) either R(P(j omega(i))) or I(P(j omega(i))) , for any i = 1,& mldr;,q [ j is the imaginary unit]. This technical note explores the case in which the measurable input u to the aforementioned system is provided by an unknown linear actuator. It is actually shown that the regulator design can be naturally extended to such a scenario, provided that the actuator process is minimum-phase, of known relative degree rho >= 1 , and with known sign of the high-frequency gain.