H∞ Observer-Based Control for Uncertain Takagi-Sugeno Fuzzy Systems with Application to a four-Tank Process

被引:5
作者
Naami, Ghali [1 ]
Ouahi, Mohamed [1 ]
Rabhi, Abdelhamid [2 ]
Tadeo, Fernando [3 ]
Viet Long Bui Tuan [2 ]
机构
[1] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci, Lab Engn Syst & Applicat, BP 72,My Abdallah Ave Km 5,Imouzzer Rd, Fes, Morocco
[2] Univ Picardie Jules Verne, Modeling Informat & Syst MIS Lab, 33 Rue St Leu, F-80000 Amiens, France
[3] Univ Valladolid, Ind Engn Sch, Dr Mergelina S-N, Valladolid 47005, Spain
来源
2021 29TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2021年
关键词
Observer-Based Control; Takagi-Sugeno Systems; Uncertainty; Disturbances; Linear Matrix Inequalities (LMIs); Four-Tanks Process; DESIGN;
D O I
10.1109/MED51440.2021.9480248
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 design of H-infinity observer-based controllers for nonlinear systems represented by Takagi-Sugeno models in continuous time is studied here, in the presence of parameter uncertainties and external disturbances. Conditions are developed in terms of Linear Matrix Inequalities (LMIs), thanks to a change of variables to avoid bilinear terms. Thanks to this, observer and controller gains can be deduced in terms of LMIs conditions, which can be practically solved in a single step. The simulation of a four-tank lab system is used to show the advantage of the methodology proposed, revealing a good compromise between the controller simplicity and conservatism, outperforming previous approaches.
引用
收藏
页码:633 / 638
页数:6
相关论文
共 19 条
[1]   Observer-based robust control of one-sided Lipschitz nonlinear systems [J].
Ahmad, Sohaira ;
Rehan, Muhammad ;
Hong, Keum-Shik .
ISA TRANSACTIONS, 2016, 65 :230-240
[2]   A robust H∞ observer-based controller design for uncertain T-S fuzzy systems with unknown premise variables via LMI [J].
Asemani, Mohammad Hassan ;
Majd, Vahid Johari .
FUZZY SETS AND SYSTEMS, 2013, 212 :21-40
[3]   Robust static output feedback H∞ control for uncertain fuzzy systems [J].
Chang, Xiao-Heng ;
Zhang, Liang ;
Park, Ju H. .
FUZZY SETS AND SYSTEMS, 2015, 273 :87-104
[4]  
Johansson K.H., 1997, THESIS
[5]  
Johansson KH, 1998, P AMER CONTR CONF, P2045, DOI 10.1109/ACC.1998.702986
[6]   Stability analysis and control synthesis for fuzzy-observer-based controller of nonlinear systems: a fuzzy-model-based control approach [J].
Lam, Hak Keung ;
Li, Hongyi ;
Liu, Honghai .
IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (05) :663-672
[7]   Robust observer-based control of systems with state perturbations via LMI approach [J].
Lien, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (08) :1365-1370
[8]  
Lofberg J., 2004, P IEEE INT S COMP AI, P284, DOI [10.1109/CACSD.2004.1393890, DOI 10.1109/CACSD.2004.1393890, 10.1109/cacsd.2004.1393890]
[9]   On observer-based controller design for Sugeno systems with unmeasurable premise variables [J].
Moodi, Hoda ;
Farrokhi, Mohammad .
ISA TRANSACTIONS, 2014, 53 (02) :305-316
[10]  
NAAMI G, 2019, 2019 INT C WIRELESS