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Design of digital controllers for uncertain chaotic systems using fuzzy logic |
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| Authors: | Mohammad Ababneh Ahmed Muhammed Almanasreh |
| Institution: | a Department of Mechatronics Engineering, The Hashemite University, 13115 Zarqa, Jordan b Department of Electrical Engineering, The Hashemite University, 13115 Zarqa, Jordan c Department of Biomedical Engineering, The Hashemite University, 13115 Zarqa, Jordan |
| Abstract: | A new and systematic method to design digital controllers for uncertain chaotic systems with structured uncertainties is presented in this paper. Takagi-Sugeno (TS) fuzzy model is used to model the chaotic dynamic system, while the uncertainties are decomposed such that the uncertain chaotic system can be rewritten as a set of local linear models with an additional disturbed input. Conventional control techniques are utilized to develop the continuous-time controllers first. Then, the digital controllers are obtained as the digital redesign of the continuous-time controllers using the state-matching approach. The performance of the proposed controller design is illustrated through numerical examples. |
| Keywords: | Uncertain systems Takagi-Sugeno Chaotic Digital redesign |
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