An Iterative Data-Driven Linear Quadratic Method to Solve Nonlinear Discrete-Time Tracking Problems

被引:9
|
作者
Possieri, Corrado [1 ]
Incremona, Gian Paolo [2 ]
Calafiore, Giuseppe C. [3 ,4 ]
Ferrara, Antonella [5 ]
机构
[1] CNR, Ist Anal Sistemi Informat A Ruberti, I-00185 Rome, Italy
[2] Politecn Milan, Dipartimento Elettron Informaz & Bioingn, I-20133 Milan, Italy
[3] Politecn Torino, Dipartimento Elettron & Telecomunicaz, I-10129 Turin, Italy
[4] IEIIT CNR Torino, I-10129 Turin, Italy
[5] Univ Pavia, Dipartimento Ingn Ind & Informaz, I-27100 Pavia, Italy
关键词
Optimal control; Heuristic algorithms; Dynamic programming; Approximation algorithms; Q-factor; Stochastic processes; Mathematical model; Data-driven control design; dynamic programming; linear quadratic (LQ) control; optimal control; FEEDBACK-CONTROL; REINFORCEMENT; DESIGN;
D O I
10.1109/TAC.2021.3056398
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The objective of this article is to introduce a novel data-driven iterative linear quadratic (LQ) control method for solving a class of nonlinear optimal tracking problems. Specifically, an algorithm is proposed to approximate the Q-factors arising from LQ stochastic optimal tracking problems. This algorithm is then coupled with iterative LQ-methods for determining local solutions to nonlinear optimal tracking problems in a purely data-driven setting. Simulation results highlight the potential of this method for field applications.
引用
收藏
页码:5514 / 5521
页数:8
相关论文
共 50 条
  • [21] Adaptive iterative learning control based on IF–THEN rules and data-driven scheme for a class of nonlinear discrete-time systems
    Chidentree Treesatayapun
    Soft Computing, 2018, 22 : 487 - 497
  • [22] Data-driven robust fault tolerant linear quadratic preview control of discrete-time linear systems with completely unknown dynamics
    Han, Kezhen
    Feng, Jian
    INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (01) : 49 - 59
  • [23] Data-Driven Control With Prescribed-Time Convergence for Discrete-Time Nonlinear Systems
    Li, Yijia
    Ou, Xianhua
    Chen, Peng
    He, Xiongxiong
    Jiang, Qianru
    IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2024, : 1 - 11
  • [24] Data-Driven based Iterative Learning Control for A Class of Discrete-Time Descriptor Systems
    Zhang, Daqing
    Yu, Jie
    Zhu, Baoyan
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 3178 - 3182
  • [25] A Novel Data-Driven Control Approach for a Class of Discrete-Time Nonlinear Systems
    Hou, Zhongsheng
    Jin, Shangtai
    IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2011, 19 (06) : 1549 - 1558
  • [26] Data-driven Distributed Consensus Filter for a Discrete-time Nonlinear Sensor Network
    Bai, Chuandong
    Ji, Honghai
    Wei, Yuzhou
    Pang, Zhonghua
    Hou, Zhongsheng
    PROCEEDINGS OF 2020 IEEE 9TH DATA DRIVEN CONTROL AND LEARNING SYSTEMS CONFERENCE (DDCLS'20), 2020, : 965 - 970
  • [27] Data-Driven Optimal Tracking Control for Discrete-Time Nonlinear Systems With Unknown Dynamics Using Deterministic ADP
    Song, Shijie
    Gong, Dawei
    Zhu, Minglei
    Zhao, Yuyang
    Huang, Cong
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2025, 36 (01) : 1184 - 1198
  • [28] Data-Driven Optimal Tracking Control for Discrete-Time Nonlinear Systems With Unknown Dynamics Using Deterministic ADP
    Song, Shijie
    Gong, Dawei
    Zhu, Minglei
    Zhao, Yuyang
    Huang, Cong
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2025, 36 (01) : 1184 - 1198
  • [29] Adaptive Observer Based Data-Driven Control for Nonlinear Discrete-Time Processes
    Xu, Dezhi
    Jiang, Bin
    Shi, Peng
    IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2014, 11 (04) : 1037 - 1045
  • [30] Robust Data-Driven Moving Horizon Estimation for Linear Discrete-Time Systems
    Wolff, Tobias M.
    Lopez, Victor G.
    Mueller, Matthias A.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (08) : 5598 - 5604