TS Fuzzy Robust Sampled-Data Control for Nonlinear Systems with Bounded Disturbances

被引：3

作者：

Poongodi, Thangavel ^{[1
]}

Mishra, Prem Prakash ^{[1
]}

Lim, Chee Peng ^{[2
]}

Saravanakumar, Thangavel ^{[3
]}

Boonsatit, Nattakan ^{[4
]}

Hammachukiattikul, Porpattama ^{[5
]}

Rajchakit, Grienggrai ^{[6
]}

机构：

[1] Natl Inst Technol, Dept Math, Nagaland 797103, India

[2] Deakin Univ, Inst Intelligent Syst Res & Innovat, Waurn Ponds, Vic 3216, Australia

[3] Anna Univ Reg Campus, Dept Math, Coimbatore 641046, Tamil Nadu, India

[4] Rajamangala Univ Technol Suvarnabhumi, Dept Math, Fac Sci & Technol, Nonthaburi 11000, Thailand

[5] Phuket Rajabhat Univ PKRU, Dept Math, Fac Sci, 6 Thepkasattree Rd, Phuket 83000, Thailand

[6] Maejo Univ, Dept Math, Fac Sci, Chiang Mai 50290, Thailand

来源：

COMPUTATION | 2021年 / 9卷 / 12期

关键词：

Takagi-Sugeno (TS) fuzzy models; H-infinity control; fault-tolerant control; bounded disturbances; NETWORKED CONTROL-SYSTEMS; REACHABLE SET ESTIMATION; OUTPUT TRACKING CONTROL; H-INFINITY; SWITCHED SYSTEMS; RELIABLE CONTROL; TOLERANT CONTROL; ACTUATOR FAULTS; MODEL;

D O I：

10.3390/computation9120132

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate robust fault-tolerant control pertaining to Takagi-Sugeno (TS) fuzzy nonlinear systems with bounded disturbances, actuator failures, and time delays. A new fault model based on a sampled-data scheme that is able to satisfy certain criteria in relation to actuator fault matrix is introduced. Specifically, we formulate a reliable controller with state feedback, such that the resulting closed-loop-fuzzy system is robust, asymptotically stable, and able to satisfy a prescribed H-& INFIN; performance constraint. Linear matrix inequality (LMI) together with a proper construction of the Lyapunov-Krasovskii functional is leveraged to derive delay-dependent sufficient conditions with respect to the existence of robust H-& INFIN; controller. It is straightforward to obtain the solution by using the MATLAB LMI toolbox. We demonstrate the effectiveness of the control law and less conservativeness of the results through two numerical simulations.

引用

页数：14

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