Multirate sampling based data-driven control

被引:0
作者
Shukla, Pranjali [1 ]
Janardhanan, S. [1 ]
机构
[1] Indian Inst Technol Delhi, Dept Elect Engn, New Delhi 110 016, India
关键词
Deterministic; discrete system; disturbance; DARMA model; multirate sampling; robust control; ARMAX; ARMA; ARX; AR models; models; control; discrete time systems; systems; linear systems; optimal control; DESIGN; SYSTEMS;
D O I
10.1080/00207721.2025.2504049
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper explores multirate sampling as a data collection method for parameter estimation and control design of unknown LTI systems. It is shown that multirate sampled data, used to represent the input-output mapping of the unknown system, presents an effective way to handle the external unknown disturbance in the system. Differential rates for input and output samplings allow for a more intricate understanding of system output dynamics while maintaining a constant input. This helps in designing a compensation term to mitigate the effect of disturbance in the output. It is also observed that employing multirate sampling for control design and parameter estimation reduces the number of parameters affecting the control. The unknown system is represented as a Deterministic Auto-Regressive Moving Average (DARMA) model. The proposed strategy is a combination of offline estimation and online control design, and its efficacy has been verified using a simulation study.
引用
收藏
页数:12
相关论文
共 29 条
[1]   On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads [J].
Barabanov, Nikita ;
Ortega, Romeo ;
Grino, Robert ;
Polyak, Boris .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2016, 63 (01) :114-121
[2]   Virtual reference feedback tuning: a direct method for the design of feedback controllers [J].
Campi, MC ;
Lecchini, A ;
Savaresi, SM .
AUTOMATICA, 2002, 38 (08) :1337-1346
[3]   Design of a nonlinear disturbance observer [J].
Chen, XK ;
Komada, S ;
Fukuda, T .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2000, 47 (02) :429-437
[4]   Observer-based data-driven iterative learning control [J].
Chi, Ronghu ;
Wei, Yangchun ;
Yao, Wenlong ;
Xing, Jianmin .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (13) :2343-2359
[5]   A Robust Sliding-Mode Based Data-Driven Model-Free Adaptive Controller [J].
Corradini, M. L. .
IEEE CONTROL SYSTEMS LETTERS, 2022, 6 :421-427
[6]   Data-driven predictive ILC for nonlinear nonaffine systems [J].
Cui, Wenzhi ;
Li, Puzhao ;
Chi, Ronghu .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2024, 55 (09) :1868-1881
[7]  
Goodwin G., 1984, Adaptive Filtering Prediction and Control
[8]   Virtual reference direct design method: An off-line approach to data-based control system design [J].
Guardabassi, GO ;
Savaresi, SM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (05) :954-959
[9]   Active Disturbance Rejection Control Approach to Output-Feedback Stabilization of a Class of Uncertain Nonlinear Systems Subject to Stochastic Disturbance [J].
Guo, Bao-Zhu ;
Wu, Ze-Hao ;
Zhou, Hua-Cheng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (06) :1613-1618
[10]   DESIGN OF A STABLE STATE FEEDBACK CONTROLLER BASED ON THE MULTIRATE SAMPLING OF THE PLANT OUTPUT [J].
HAGIWARA, T ;
ARAKI, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (09) :812-819