TY - GEN
T1 - Direct Model Reference Adaptive Control of Periodic Slow Time-Varying Systems with Disturbance Input
AU - Tan, Zhuolin
AU - Xie, Xiaochen
AU - Huang, Jiantai
N1 - Publisher Copyright:
© 2024 Technical Committee on Control Theory, Chinese Association of Automation.
PY - 2024
Y1 - 2024
N2 - This paper investigates the direct model reference adaptive control (MRAC) of periodic systems with slow time-varying dynamics and disturbance input. It is necessary to approximate the periodic slow time-varying system as a periodic piecewise linear system for MRAC. Based on the stability criteria of the periodic piecewise linear reference system,a new sufficient condition in terms of linear matrix inequalities (LMIs) is established to obtain the Lyapunov matrices and design the adaptive update law for the state feedback controller gains. Different from previous studies, where asymptotic tracking was possible only in the presence of a common Lyapunov function for the reference models, the asymptotic tracking in this work is achieved through a periodic time-varying Lyapunov matrix function. A numerical example validates the proposed MRAC scheme, and the effectiveness of the modified approach is discussed.
AB - This paper investigates the direct model reference adaptive control (MRAC) of periodic systems with slow time-varying dynamics and disturbance input. It is necessary to approximate the periodic slow time-varying system as a periodic piecewise linear system for MRAC. Based on the stability criteria of the periodic piecewise linear reference system,a new sufficient condition in terms of linear matrix inequalities (LMIs) is established to obtain the Lyapunov matrices and design the adaptive update law for the state feedback controller gains. Different from previous studies, where asymptotic tracking was possible only in the presence of a common Lyapunov function for the reference models, the asymptotic tracking in this work is achieved through a periodic time-varying Lyapunov matrix function. A numerical example validates the proposed MRAC scheme, and the effectiveness of the modified approach is discussed.
KW - Model Reference Adaptive Control
KW - Periodic Piecewise Linear System
KW - Periodic Slow Time-Varying System
UR - https://www.scopus.com/pages/publications/85205524037
U2 - 10.23919/CCC63176.2024.10662134
DO - 10.23919/CCC63176.2024.10662134
M3 - 会议稿件
AN - SCOPUS:85205524037
T3 - Chinese Control Conference, CCC
SP - 2492
EP - 2497
BT - Proceedings of the 43rd Chinese Control Conference, CCC 2024
A2 - Na, Jing
A2 - Sun, Jian
PB - IEEE Computer Society
T2 - 43rd Chinese Control Conference, CCC 2024
Y2 - 28 July 2024 through 31 July 2024
ER -