On the Stability and Control of Continuous-Time TSK Fuzzy Systems
This paper introduces a new stability test and control design methodology for type-1 and type-2 continuous-time (CT) Takagi-Sugeno-Kang systems. Unlike methods based on a common Lyapunov function, our stability results apply for systems with unstable consequents, and our controllers can be designed...
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| Veröffentlicht in: | IEEE transactions on cybernetics 2013-06, Vol.43 (3), p.1073-1087 |
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| container_title | IEEE transactions on cybernetics |
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| creator | Jafarzadeh, S. Fadali, M. S. |
| description | This paper introduces a new stability test and control design methodology for type-1 and type-2 continuous-time (CT) Takagi-Sugeno-Kang systems. Unlike methods based on a common Lyapunov function, our stability results apply for systems with unstable consequents, and our controllers can be designed for systems with unstabilizable consequents. The stability results are derived using the comparison principle with a discontinuous function and the upper right-hand derivative. The control results include CT fuzzy proportional controllers and fuzzy proportional-integral controllers that can be obtained by solving linear matrix inequalities. We provide several examples to demonstrate our stability testing and controller design and compare our results to available methods in the literature. Our results compare favorably with results available in the literature and provide stability tests and controllers where earlier approaches fail. |
| doi_str_mv | 10.1109/TSMCB.2012.2223672 |
| format | Article |
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S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the Stability and Control of Continuous-Time TSK Fuzzy Systems</atitle><jtitle>IEEE transactions on cybernetics</jtitle><stitle>TCYB</stitle><addtitle>IEEE Trans Cybern</addtitle><date>2013-06</date><risdate>2013</risdate><volume>43</volume><issue>3</issue><spage>1073</spage><epage>1087</epage><pages>1073-1087</pages><issn>2168-2267</issn><eissn>2168-2275</eissn><coden>ITCEB8</coden><abstract>This paper introduces a new stability test and control design methodology for type-1 and type-2 continuous-time (CT) Takagi-Sugeno-Kang systems. Unlike methods based on a common Lyapunov function, our stability results apply for systems with unstable consequents, and our controllers can be designed for systems with unstabilizable consequents. The stability results are derived using the comparison principle with a discontinuous function and the upper right-hand derivative. 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| source | IEEE Electronic Library (IEL) |
| subjects | Algorithms Artificial Intelligence Comparison principle Control design Control systems Controllers Design engineering Feedback Fuzzy fuzzy control Fuzzy Logic Fuzzy set theory Fuzzy systems Indexes Lyapunov methods Models, Statistical Pattern Recognition, Automated - methods Stability Stability criteria Stability tests Takagi-Sugeno-Kang (TSK) systems type-2 fuzzy systems Vectors |
| title | On the Stability and Control of Continuous-Time TSK Fuzzy Systems |
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