Data-driven control for discrete-time piecewise affine systems✩

被引：14

作者：

Wang, Meng ^{[1
]}

Qiu, Jianbin ^{[2
]}

Yan, Huaicheng ^{[1
,4
]}

Tian, Yongxiao ^{[3
]}

Li, Zhichen ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China

[2] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Peoples R China

[3] Shanghai Univ, Sch Artificial Intelligence, Shanghai 200444, Peoples R China

[4] Chengdu Univ, Sch Informat Sci & Engn, Chengdu 610106, Peoples R China

来源：

AUTOMATICA | 2023年 / 155卷

基金：

中国国家自然科学基金;

关键词：

Piecewise affine systems; Data-driven control; Control design; Convex optimization; SYSTEMS; FEEDBACK;

D O I：

10.1016/j.automatica.2023.111168

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 studies the problem of data-driven control for discrete-time piecewise affine (PWA) systems. Based on a sequel of sampled control inputs and states with satisfactory rank conditions, the closed loop dynamics of PWA systems can be represented and therefore the explicit information of system matrices is not needed in system stability analysis and controller synthesis processes. First, via S procedure, system stability analysis results have been obtained, and then, two novel data-driven controller design methods in the form of linear matrix inequalities and equations have been proposed such that the resulting closed loop system is asymptotically stable. For PWA systems with unknown state space partition information, an online data-driven control method has been further proposed to guarantee the asymptotic stability of the resulting closed loop systems. Finally, simulation studies of two examples have been given to validate the effectiveness of the proposed data-driven controller design approaches.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：10

共 30 条

[1]

Andersen E.D., 2000, High performance optimization, P197, DOI [DOI 10.1007/978-1-4757-3216-0_8, 10.1007/978-1-4757-3216-0, DOI 10.1007/978-1-4757-3216-0]

[2] Data-driven control of complex networks [J].

Baggio, Giacomo ;

Bassett, Danielle S. ;

Pasqualetti, Fabio .

NATURE COMMUNICATIONS, 2021, 12 (01)

[3]

Boyd S., 1994, Linear matrix inequalities in system and control theory

[4] Protocol-based filtering for fuzzy Markov affine systems with switching chain [J].

Cheng, Jun ;

Wu, Yuyan ;

Yan, Huaicheng ;

Wu, Zheng-Guang ;

Shi, Kaibo .

AUTOMATICA, 2022, 141

[5] Formulas for Data-Driven Control: Stabilization, Optimality, and Robustness [J].

De Persis, Claudio ;

Tesi, Pietro .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (03) :909-924

[6] Online Identification of Piecewise Affine Systems Using Integral Concurrent Learning [J].

Du, Yingwei ;

Liu, Fangzhou ;

Qiu, Jianbin ;

Buss, Martin .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2021, 68 (10) :4324-4336

[7] H∞ model predictive control for constrained discrete-time piecewise affine systems [J].

Esfahani, Peyman Sindareh ;

Pieper, Jeffery Kurt .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (06) :1973-1995

[8] Stability analysis of piecewise discrete-time linear systems [J].

Feng, G .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) :1108-1112

[9] Data-Driven Stabilization of Nonlinear Polynomial Systems With Noisy Data [J].

Guo, Meichen ;

De Persis, Claudio ;

Tesi, Pietro .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (08) :4210-4217

[10] From model-based control to data-driven control: Survey, classification and perspective [J].

Hou, Zhong-Sheng ;

Wang, Zhuo .

INFORMATION SCIENCES, 2013, 235 :3-35

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