Stable and optimal fuzzy control of a laboratory Antilock Braking System

Radu-Emil Precup; Sergiu Spataru; Emil M. Petriu; Stefan Preitl; Mircea-Bogdan Rǎdac; Claudia-Adina Dragoş

doi:10.1109/AIM.2010.5695728

Stable and optimal fuzzy control of a laboratory Antilock Braking System

Radu-Emil Precup, Sergiu Spataru, Emil M. Petriu, Stefan Preitl, Mircea-Bogdan Rǎdac, Claudia-Adina Dragoş

AAU Energy

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

9 Citations (Scopus)

Abstract

This paper discusse four new Takagi-Sugeno fuzzy controllers (T-S FCs) for the longitudinal slip control of an Antilock Braking System laboratory equipment. Two discretetime dynamic Takagi-Sugeno fuzzy models of the controlled plant are derived based on the parameters in the consequents of the rules using the domains of the input variables, and doing the local linearization of the plant model. The original T-S FCs are designed by parallel distributed compensation to obtain the state feedback gain matrices in the consequents of the rules. Two T-S FCs are tuned by imposing relaxed stability conditions to the fuzzy control systems (FCSs) and the other two T-S FCs are tuned by the linear-quadratic regulator approach applied to each rule. Linear matrix inequalities are solved to guarantee the global stability of the FCSs. Real-time experimental results validate the original T-S FCs and design approaches.

Original language	English
Title of host publication	IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM
Number of pages	6
Publisher	IEEE Press
Publication date	2010
Pages	593-598
ISBN (Print)	978-1-4244-8031-9
DOIs	https://doi.org/10.1109/AIM.2010.5695728
Publication status	Published - 2010
Event	2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2010 - Montreal, QC, Canada Duration: 6 Jul 2010 → 9 Jul 2010

Conference

Conference	2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2010
Country/Territory	Canada
City	Montreal, QC
Period	06/07/2010 → 09/07/2010

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@inproceedings{2bd29208e098456e986ebd0fe16f2e13,

title = "Stable and optimal fuzzy control of a laboratory Antilock Braking System",

abstract = "This paper discusse four new Takagi-Sugeno fuzzy controllers (T-S FCs) for the longitudinal slip control of an Antilock Braking System laboratory equipment. Two discretetime dynamic Takagi-Sugeno fuzzy models of the controlled plant are derived based on the parameters in the consequents of the rules using the domains of the input variables, and doing the local linearization of the plant model. The original T-S FCs are designed by parallel distributed compensation to obtain the state feedback gain matrices in the consequents of the rules. Two T-S FCs are tuned by imposing relaxed stability conditions to the fuzzy control systems (FCSs) and the other two T-S FCs are tuned by the linear-quadratic regulator approach applied to each rule. Linear matrix inequalities are solved to guarantee the global stability of the FCSs. Real-time experimental results validate the original T-S FCs and design approaches.",

author = "Radu-Emil Precup and Sergiu Spataru and Petriu, {Emil M.} and Stefan Preitl and Mircea-Bogdan Rǎdac and Claudia-Adina Drago{\c s}",

note = "Article number 5695728; 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2010 ; Conference date: 06-07-2010 Through 09-07-2010",

year = "2010",

doi = "10.1109/AIM.2010.5695728",

language = "English",

isbn = "978-1-4244-8031-9",

pages = "593--598",

booktitle = "IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM",

publisher = "IEEE Press",

}

Precup, R-E, Spataru, S, Petriu, EM, Preitl, S, Rǎdac, M-B & Dragoş, C-A 2010, Stable and optimal fuzzy control of a laboratory Antilock Braking System. in IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM. IEEE Press, pp. 593-598, 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2010, Montreal, QC, Canada, 06/07/2010. https://doi.org/10.1109/AIM.2010.5695728

Stable and optimal fuzzy control of a laboratory Antilock Braking System. / Precup, Radu-Emil; Spataru, Sergiu; Petriu, Emil M. et al.
IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM. IEEE Press, 2010. p. 593-598.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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AU - Spataru, Sergiu

AU - Petriu, Emil M.

AU - Preitl, Stefan

AU - Rǎdac, Mircea-Bogdan

AU - Dragoş, Claudia-Adina

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N2 - This paper discusse four new Takagi-Sugeno fuzzy controllers (T-S FCs) for the longitudinal slip control of an Antilock Braking System laboratory equipment. Two discretetime dynamic Takagi-Sugeno fuzzy models of the controlled plant are derived based on the parameters in the consequents of the rules using the domains of the input variables, and doing the local linearization of the plant model. The original T-S FCs are designed by parallel distributed compensation to obtain the state feedback gain matrices in the consequents of the rules. Two T-S FCs are tuned by imposing relaxed stability conditions to the fuzzy control systems (FCSs) and the other two T-S FCs are tuned by the linear-quadratic regulator approach applied to each rule. Linear matrix inequalities are solved to guarantee the global stability of the FCSs. Real-time experimental results validate the original T-S FCs and design approaches.

AB - This paper discusse four new Takagi-Sugeno fuzzy controllers (T-S FCs) for the longitudinal slip control of an Antilock Braking System laboratory equipment. Two discretetime dynamic Takagi-Sugeno fuzzy models of the controlled plant are derived based on the parameters in the consequents of the rules using the domains of the input variables, and doing the local linearization of the plant model. The original T-S FCs are designed by parallel distributed compensation to obtain the state feedback gain matrices in the consequents of the rules. Two T-S FCs are tuned by imposing relaxed stability conditions to the fuzzy control systems (FCSs) and the other two T-S FCs are tuned by the linear-quadratic regulator approach applied to each rule. Linear matrix inequalities are solved to guarantee the global stability of the FCSs. Real-time experimental results validate the original T-S FCs and design approaches.

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M3 - Article in proceeding

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SP - 593

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BT - IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM

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ER -

Stable and optimal fuzzy control of a laboratory Antilock Braking System

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