Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System.
This research is focused on proposed adaptive fuzzy sliding mode algorithms with the adaptation laws derived in the Lyapunov sense. The stability of the closed-loop system is proved mathematically based on the Lyapunov method. Adaptive MIMO fuzzy compensate fuzzy sliding mode method design a MIMO...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English English |
| Published: |
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/23315/1/Adaptive%20MIMO%20Fuzzy%20Compensate%20Fuzzy%20Sliding%20Mode%20Algorithm.pdf |
| _version_ | 1796970335165218816 |
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| author | Sulaiman, Nasri Piltan, Farzin Ferdosali, Payman Rashidi, Mehdi Tajpeikar, Zahra |
| author_facet | Sulaiman, Nasri Piltan, Farzin Ferdosali, Payman Rashidi, Mehdi Tajpeikar, Zahra |
| author_sort | Sulaiman, Nasri |
| collection | UPM |
| description | This research is focused on proposed adaptive fuzzy sliding mode algorithms with the adaptation laws
derived in the Lyapunov sense. The stability of the closed-loop system is proved mathematically based on
the Lyapunov method. Adaptive MIMO fuzzy compensate fuzzy sliding mode method design a MIMO fuzzy
system to compensate for the model uncertainties of the system, and chattering also solved by linear
saturation method. Since there is no tuning method to adjust the premise part of fuzzy rules so we
presented a scheme to online tune consequence part of fuzzy rules. Classical sliding mode control is
robust to control model uncertainties and external disturbances. A sliding mode method with a switching
control low guarantees the stability of the certain and/or uncertain system, but the addition of the switching
control low introduces chattering into the system. One way to reduce or eliminate chattering is to insert a
boundary layer method inside of a boundary layer around the sliding surface. Classical sliding mode
control method has difficulty in handling unstructured model uncertainties. One can overcome this problem
by combining a sliding mode controller and artificial intelligence (e.g. fuzzy logic). To approximate a timevarying
nonlinear dynamic system, a fuzzy system requires a large amount of fuzzy rule base. This large
number of fuzzy rules will cause a high computation load. The addition of an adaptive law to a fuzzy sliding
mode controller to online tune the parameters of the fuzzy rules in use will ensure a moderate
computational load. The adaptive laws in this algorithm are designed based on the Lyapunov stability
theorem. Asymptotic stability of the closed loop system is also proved in the sense of Lyapunov. |
| first_indexed | 2024-03-06T07:56:31Z |
| format | Article |
| id | upm.eprints-23315 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:56:31Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | upm.eprints-233152016-02-18T05:10:24Z http://psasir.upm.edu.my/id/eprint/23315/ Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. Sulaiman, Nasri Piltan, Farzin Ferdosali, Payman Rashidi, Mehdi Tajpeikar, Zahra This research is focused on proposed adaptive fuzzy sliding mode algorithms with the adaptation laws derived in the Lyapunov sense. The stability of the closed-loop system is proved mathematically based on the Lyapunov method. Adaptive MIMO fuzzy compensate fuzzy sliding mode method design a MIMO fuzzy system to compensate for the model uncertainties of the system, and chattering also solved by linear saturation method. Since there is no tuning method to adjust the premise part of fuzzy rules so we presented a scheme to online tune consequence part of fuzzy rules. Classical sliding mode control is robust to control model uncertainties and external disturbances. A sliding mode method with a switching control low guarantees the stability of the certain and/or uncertain system, but the addition of the switching control low introduces chattering into the system. One way to reduce or eliminate chattering is to insert a boundary layer method inside of a boundary layer around the sliding surface. Classical sliding mode control method has difficulty in handling unstructured model uncertainties. One can overcome this problem by combining a sliding mode controller and artificial intelligence (e.g. fuzzy logic). To approximate a timevarying nonlinear dynamic system, a fuzzy system requires a large amount of fuzzy rule base. This large number of fuzzy rules will cause a high computation load. The addition of an adaptive law to a fuzzy sliding mode controller to online tune the parameters of the fuzzy rules in use will ensure a moderate computational load. The adaptive laws in this algorithm are designed based on the Lyapunov stability theorem. Asymptotic stability of the closed loop system is also proved in the sense of Lyapunov. 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/23315/1/Adaptive%20MIMO%20Fuzzy%20Compensate%20Fuzzy%20Sliding%20Mode%20Algorithm.pdf Sulaiman, Nasri and Piltan, Farzin and Ferdosali, Payman and Rashidi, Mehdi and Tajpeikar, Zahra (2011) Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. International Journal of Engineering, 5 (5). pp. 365-382. ISSN 1025-2495 http://www.cscjournals.org/library/manuscriptinfo.php?mc=IJE-313 English |
| spellingShingle | Sulaiman, Nasri Piltan, Farzin Ferdosali, Payman Rashidi, Mehdi Tajpeikar, Zahra Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. |
| title | Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. |
| title_full | Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. |
| title_fullStr | Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. |
| title_full_unstemmed | Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. |
| title_short | Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System. |
| title_sort | adaptive mimo fuzzy compensate fuzzy sliding mode algorithm applied to second order nonlinear system |
| url | http://psasir.upm.edu.my/id/eprint/23315/1/Adaptive%20MIMO%20Fuzzy%20Compensate%20Fuzzy%20Sliding%20Mode%20Algorithm.pdf |
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