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分数微积分理论在非线性车辆悬架滑模控制中的应用
引用本文:陈宁,台永鹏,陈南.分数微积分理论在非线性车辆悬架滑模控制中的应用[J].动力学与控制学报,2009,7(3):258-263.
作者姓名:陈宁  台永鹏  陈南
作者单位:1. 东南大学机械工程学院,南京,210097;南京林业大学机械电子工程学院,南京,210037
2. 南京林业大学机械电子工程学院,南京,210037
3. 东南大学机械工程学院,南京,210097
基金项目:国家自然科学基金项目,江苏省高校自然科学基金项目 
摘    要:基于分数微积分理论,提出分数阶”天棚”阻尼控制概念,并以它控制的悬架为参考模型,提出一个控制效果理想、鲁棒性好的悬架滑模控制的新策略,并应用于非线性悬架的动力学控制中.文中给出了一种精度较高,收敛稳定的分数阶系统的数值算法,最后对非线性悬架的滑模主动控制进行数值仿真,验证了新控制策略优良的控制效果.

关 键 词:分数微积分  天棚阻尼  滑模控制  非线性悬架  精细积分
收稿时间:2008/7/28 0:00:00
修稿时间:2008/12/16 0:00:00

Application of fractional calculus theory on sliding mode control for vehicle suspension systems with nonlinearities
Chen Ning,Tai Yongpeng and Chen Nan.Application of fractional calculus theory on sliding mode control for vehicle suspension systems with nonlinearities[J].Journal of Dynamics and Control,2009,7(3):258-263.
Authors:Chen Ning  Tai Yongpeng and Chen Nan
Affiliation:Chen Ning Tai Yongpeng Chen Nan ( 1. College of Mechanical Engineering , Southeast University , Nanjing 210096, China;2. College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China)
Abstract:The concept of fractional order skyhook damping control was presented based on fractional calculus theory. Taking a suspension model controlled by the new skyhook damping as the reference model,a new excellent sliding mode control strategy for suspension systems was proposed and applied in the control of a nonlinear suspension. A kind of numerical scheme for fractional order system with high accuracy and stability was also given. The new sliding mode control for an active suspension with nonlinearities was investigated through numerical simulation. The computational results verify the good control efficacy of the new strategy.
Keywords:fractional calculus  skyhook damping  sliding mode control  nonlinear suspension  precise integration
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