Fuzzy Controller Design via the Inverse Solution of Lyapunov EquationsSource: Journal of Dynamic Systems, Measurement, and Control:;2003:;volume( 125 ):;issue: 001::page 42Author:Wen-Jer Chang
DOI: 10.1115/1.1540996Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a fuzzy control design method is be developed for the plant model whose structure is represented by the Takagi-Sugeno fuzzy model. In each rule of the Takagi-Sugeno fuzzy model, the system is characterized by linear dynamics given in the controllability canonical form. Replacing the Lyapunov inequality with a Lyapunov equation for stability analysis, the proposed method will make use of the inverse solution of Lyapunov equations to obtain a common Lyapunov function for all the subsystems. Based on this solution, the fuzzy controller can be constructed by using the parallel distributed compensation technique.
keyword(s): Stability , Control equipment , Design , Equations , Fuzzy control , Feedback , Fuzzy logic AND Theorems (Mathematics) ,
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| contributor author | Wen-Jer Chang | |
| date accessioned | 2017-05-09T00:09:48Z | |
| date available | 2017-05-09T00:09:48Z | |
| date copyright | March, 2003 | |
| date issued | 2003 | |
| identifier issn | 0022-0434 | |
| identifier other | JDSMAA-26314#42_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/128149 | |
| description abstract | In this paper, a fuzzy control design method is be developed for the plant model whose structure is represented by the Takagi-Sugeno fuzzy model. In each rule of the Takagi-Sugeno fuzzy model, the system is characterized by linear dynamics given in the controllability canonical form. Replacing the Lyapunov inequality with a Lyapunov equation for stability analysis, the proposed method will make use of the inverse solution of Lyapunov equations to obtain a common Lyapunov function for all the subsystems. Based on this solution, the fuzzy controller can be constructed by using the parallel distributed compensation technique. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Fuzzy Controller Design via the Inverse Solution of Lyapunov Equations | |
| type | Journal Paper | |
| journal volume | 125 | |
| journal issue | 1 | |
| journal title | Journal of Dynamic Systems, Measurement, and Control | |
| identifier doi | 10.1115/1.1540996 | |
| journal fristpage | 42 | |
| journal lastpage | 47 | |
| identifier eissn | 1528-9028 | |
| keywords | Stability | |
| keywords | Control equipment | |
| keywords | Design | |
| keywords | Equations | |
| keywords | Fuzzy control | |
| keywords | Feedback | |
| keywords | Fuzzy logic AND Theorems (Mathematics) | |
| tree | Journal of Dynamic Systems, Measurement, and Control:;2003:;volume( 125 ):;issue: 001 | |
| contenttype | Fulltext |