Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy Approach
This study inspects the issue of robust reliable sampled data control (SDC) for a class of Takagi-Sugeno (TS) fuzzy CE151 Helicopter systems with time-varying delays and linear fractional uncertainties. Specifically, both the variation range and the distribution probability of the time delay are con...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/9/498 |
| _version_ | 1797488156098953216 |
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| author | V. Dhanya A. Arunkumar Kantapon Chaisena |
| author_facet | V. Dhanya A. Arunkumar Kantapon Chaisena |
| author_sort | V. Dhanya |
| collection | DOAJ |
| description | This study inspects the issue of robust reliable sampled data control (SDC) for a class of Takagi-Sugeno (TS) fuzzy CE151 Helicopter systems with time-varying delays and linear fractional uncertainties. Specifically, both the variation range and the distribution probability of the time delay are considered in the control input. The essential aspect of the suggested results in this study is that the time variable delay in the control input is dependent not only on the bound but also on the distribution probability of the time delay. The prime intent of this study is to enhance a state feedback reliable sampled-data controller. By constructing an appropriate Lyapunov-Krasovskii functional (LKF) and employing a linear matrix inequalities (LMIs) approach, a new set of delay-dependent necessary conditions is obtained to ensure the asymptotic stabilisation of a TS fuzzy CE151 Helicopter system with a prescribed mixed <i>H</i><sub>∞</sub> and passivity (M<i>H</i><sub>∞</sub>P) performance index. The acquired results are expressed as LMIs, which are easily addressed using standard optimization algorithms. In addition, an exemplary scenario based on the CE151 helicopter model is presented to demonstrate the less conservative nature of the obtained results as well as the application of the recommended unique design approaches. |
| first_indexed | 2024-03-09T23:59:01Z |
| format | Article |
| id | doaj.art-108e051b3cfb4eaeac1f441ccc29c232 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T23:59:01Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-108e051b3cfb4eaeac1f441ccc29c2322023-11-23T16:19:40ZengMDPI AGFractal and Fractional2504-31102022-09-016949810.3390/fractalfract6090498Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy ApproachV. Dhanya0A. Arunkumar1Kantapon Chaisena2Electrical Engineering Department, National Taiwan Ocean University, Keelung 202, TaiwanElectrical Engineering Department, National Taiwan Ocean University, Keelung 202, TaiwanDepartment of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket 83000, ThailandThis study inspects the issue of robust reliable sampled data control (SDC) for a class of Takagi-Sugeno (TS) fuzzy CE151 Helicopter systems with time-varying delays and linear fractional uncertainties. Specifically, both the variation range and the distribution probability of the time delay are considered in the control input. The essential aspect of the suggested results in this study is that the time variable delay in the control input is dependent not only on the bound but also on the distribution probability of the time delay. The prime intent of this study is to enhance a state feedback reliable sampled-data controller. By constructing an appropriate Lyapunov-Krasovskii functional (LKF) and employing a linear matrix inequalities (LMIs) approach, a new set of delay-dependent necessary conditions is obtained to ensure the asymptotic stabilisation of a TS fuzzy CE151 Helicopter system with a prescribed mixed <i>H</i><sub>∞</sub> and passivity (M<i>H</i><sub>∞</sub>P) performance index. The acquired results are expressed as LMIs, which are easily addressed using standard optimization algorithms. In addition, an exemplary scenario based on the CE151 helicopter model is presented to demonstrate the less conservative nature of the obtained results as well as the application of the recommended unique design approaches.https://www.mdpi.com/2504-3110/6/9/498TS fuzzy CE151 helicopter systemsampled data reliable controlmixed <i>H</i><sub>∞</sub> and passivityLyapunov-Krasovskii functionallinear matrix inequality |
| spellingShingle | V. Dhanya A. Arunkumar Kantapon Chaisena Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy Approach Fractal and Fractional TS fuzzy CE151 helicopter system sampled data reliable control mixed <i>H</i><sub>∞</sub> and passivity Lyapunov-Krasovskii functional linear matrix inequality |
| title | Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy Approach |
| title_full | Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy Approach |
| title_fullStr | Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy Approach |
| title_full_unstemmed | Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy Approach |
| title_short | Sampled-Data Based Fault-Tolerant Control Design for Uncertain CE151 Helicopter System with Random Delays: Takagi-Sugeno Fuzzy Approach |
| title_sort | sampled data based fault tolerant control design for uncertain ce151 helicopter system with random delays takagi sugeno fuzzy approach |
| topic | TS fuzzy CE151 helicopter system sampled data reliable control mixed <i>H</i><sub>∞</sub> and passivity Lyapunov-Krasovskii functional linear matrix inequality |
| url | https://www.mdpi.com/2504-3110/6/9/498 |
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