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针对传统整数阶滑模控制系统中的抖震问题,结合分数阶理论、模糊逻辑推理和滑模控制技术的优点,提出了模糊分数阶滑模控制策略.将传统滑模控制器中的整数阶切换面推广到分数阶并设计了全控制域滑模面,保证系统在整个控制域都具有较强的鲁棒性.采用模糊逻辑推理算法,实现了开关切换增益的自整定.仿真和实验验证了模糊分数阶滑模控制系统不但能有效地削减抖震,而且能保持滑模控制器对系统外部扰动的全局鲁棒性.
Aiming at the chattering problem in traditional integer order sliding mode control system, a fuzzy fractional sliding mode control strategy is proposed by combining the advantages of fractional order theory, fuzzy logic reasoning and sliding mode control technology. The switching face is generalized to fractional order and the full control domain sliding mode surface is designed to ensure that the system has strong robustness in the whole control domain.Fuzzy logic reasoning algorithm is used to realize the self-tuning of switching gain. Simulation and experimental verification The fuzzy fractional sliding mode control system can not only effectively reduce the buffeting, but also maintain the global robustness of the sliding mode controller to the external disturbances of the system.