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Article

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

1
Department of Mathematics, National Institute of Technology, Nagaland 797103, India
2
Institute for Intelligent Systems Research and Innovation, Deakin University, Waurn Ponds, VIC 3216, Australia
3
Department of Mathematics, Anna University Regional Campus, Coimbatore 641046, India
4
Department of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Suvarnabhumi, Nonthaburi 11000, Thailand
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Department of Mathematics, Faculty of Science, Phuket Rajabhat University (PKRU), 6 Thepkasattree Road, Raddasa, Phuket 83000, Thailand
6
Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand
*
Author to whom correspondence should be addressed.
Academic Editor: Demos T. Tsahalis
Computation 2021, 9(12), 132; https://doi.org/10.3390/computation9120132
Received: 21 October 2021 / Revised: 13 November 2021 / Accepted: 6 December 2021 / Published: 8 December 2021
(This article belongs to the Special Issue Control Systems, Mathematical Modeling and Automation)
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 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 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. View Full-Text
Keywords: Takagi–Sugeno (TS) fuzzy models; H control; fault-tolerant control; bounded disturbances Takagi–Sugeno (TS) fuzzy models; H control; fault-tolerant control; bounded disturbances
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MDPI and ACS Style

Poongodi, T.; Mishra, P.P.; Lim, C.P.; Saravanakumar, T.; Boonsatit, N.; Hammachukiattikul, P.; Rajchakit, G. TS Fuzzy Robust Sampled-Data Control for Nonlinear Systems with Bounded Disturbances. Computation 2021, 9, 132. https://doi.org/10.3390/computation9120132

AMA Style

Poongodi T, Mishra PP, Lim CP, Saravanakumar T, Boonsatit N, Hammachukiattikul P, Rajchakit G. TS Fuzzy Robust Sampled-Data Control for Nonlinear Systems with Bounded Disturbances. Computation. 2021; 9(12):132. https://doi.org/10.3390/computation9120132

Chicago/Turabian Style

Poongodi, Thangavel, Prem P. Mishra, Chee P. Lim, Thangavel Saravanakumar, Nattakan Boonsatit, Porpattama Hammachukiattikul, and Grienggrai Rajchakit. 2021. "TS Fuzzy Robust Sampled-Data Control for Nonlinear Systems with Bounded Disturbances" Computation 9, no. 12: 132. https://doi.org/10.3390/computation9120132

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