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With the aim of improving vehicle ride comfort, in this paper a fractional-order skyhook control strategy based on the fractional order calculus theory is proposed. Firstly, a fractional-order skyhook vehicle suspension dynamic model is established to derive analytical expressions for the fractional-order skyhook damping force and fractional-order skyhook inertial force. Subsequently, particle swarm optimization algorithm is used to optimize the key parameters of the suspension. In order to solve the problem that fractional-order force cannot be realized physically, a vehicle ISD (inerter-spring-damper) suspension with mechatronic inerter is chosen as the controlled model. A model reference adaptive controller based on fractional-order skyhook is designed to track the mechanical performance output of the fractional-order suspension. Dynamic performance analyses of fractional-order skyhook inerter suspension and fractional-order skyhook damper suspension is conducted from both frequency-domain and time-domain perspectives. Simulation results show that fractional-order skyhook ISD suspension has more significant advantages in reinforcing ride comfort than integer-order skyhook ISD suspension. Under random road input, the root-mean-square value of vehicle body acceleration of fractional-order skyhook damper suspension decreases by 18.3%, while the fractional-order skyhook ISD suspension decreases by 20.6%. The bench test results demonstrate that the vehicle ISD suspension based on fractional-order skyhook further enhances ride comfort, offering new insights for the design of vehicle ISD suspension.
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| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |
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