Dynamic periodic event-triggered gain-scheduling control co-design for quasi-LPV systems

被引：25

作者：

Coutinho, Pedro Henrique Silva ^{[1
]}

Palhares, Reinaldo Martinez ^{[2
]}

机构：

[1] Univ Fed Minas Gerais, Grad Program Elect Engn, Belo Horizonte, MG, Brazil

[2] Univ Fed Minas Gerais, Dept Elect Engn, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG, Brazil

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 41卷

关键词：

Event-triggered control; Networked control systems; Nonlinear systems; Linear matrix inequalities; LINEAR-SYSTEMS; TAKAGI-SUGENO; DELAY; STABILITY; SUBJECT;

D O I：

10.1016/j.nahs.2021.101044

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 investigates dynamic periodic event-triggered gain-scheduling control co -design for nonlinear systems subject to disturbances. The considered class of nonlinear systems is such that an equivalent polytopic quasi-LPV model is obtained. Based on the co-design approach, gain-scheduled control law and dynamic event-triggering mechanism (ETM) are jointly designed. The proposed co-design condition is formulated in terms of linear matrix inequality (LMI) conditions which are derived from the Bessel-Legendre inequality and the delay-dependent reciprocally convex combination lemma. As the state information is available to the gain-scheduled controller at specific instants determined by the ETM, it induces the asynchronous phenomenon between the param-eters of the controller and the plant's quasi-LPV model. To reduce the conservativeness induced by this asynchronous phenomenon, an LMI relaxation is proposed. Numerical examples illustrate the advantages of the proposed dynamic periodic event-triggered control co-design approach over its static counterpart. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：18

共 53 条

[21]

Liu D., 2019, IEEE T FUZZY SYST

[22] Dynamic event-triggered control for linear time-invariant systems with L2-gain performance [J].

Liu, Dan ;

Yang, Guang-Hong .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (02) :507-518

[23]

Liu K., 2019, ANNU REV CONTROL

[24]

Lofberg J., 2004, 2004 IEEE International Symposium on Computer Aided Control Systems Design (IEEE Cat. No.04TH8770), P284, DOI 10.1109/CACSD.2004.1393890

[25] Network-based fuzzy H∞ controller design for T-S fuzzy systems via a new event-triggered communication scheme [J].

Lu, An-Yang ;

Zhai, Ding ;

Dong, Jiuxiang ;

Zhang, Qing-Ling .

NEUROCOMPUTING, 2018, 273 :403-413

[26] Dynamic event-triggered control for linear stochastic systems with sporadic measurements and communication delays [J].

Luo, Shixian ;

Deng, Feiqi ;

Chen, Wu-Hua .

AUTOMATICA, 2019, 107 :86-94

[27] Observer-based event-triggered control in the presence of cone-bounded nonlinear inputs [J].

Moreira, L. G. ;

Tarbouriech, S. ;

Seuret, A. ;

da Silva Jr, J. M. Gomes .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 33 :17-32

[28] Event-Triggered State-Feedback Control for Continuous-Time Plants Subject to Input Saturation [J].

Moreira, L. G. ;

Groff, L. B. ;

Gomes da Silva, J. M., Jr. .

JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2016, 27 (05) :473-484

[29] Improved Takagi-Sugeno fuzzy output tracking control for nonlinear networked control systems [J].

Oliveira, Tiago G. ;

Palhares, Reinaldo M. ;

Campos, Victor C. S. ;

Queiroz, Pedro S. ;

Goncalves, Eduardo N. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (16) :7280-7305

[30] Regional stabilization of nonlinear sampled-data control systems: A quasi-LPV approach * [J].

Palmeira, Alessandra H. K. ;

Gomes da Silva Jr, Joao M. ;

Flores, Jeferson, V .

EUROPEAN JOURNAL OF CONTROL, 2021, 59 :301-312

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