基于自适应模糊控制算法的公路桥梁MR半主动控制
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摘要
为了有效处理振动控制中结构的非线性和外界荷载的不确定性,提出了基于自适应模糊控制算法(AFLC)的MR半主动控制算法。AFLC通过在线调节规则后件隶属度函数,以自适应模糊控制系统逼近等价控制律。通过引进Lyapunov稳定性理论设计了相应的自适应率。在此基础上结合限幅最优控制算法(clipped optimal)设计了适合MR阻尼器的半主动控制算法(AFLC/clipped optimal)。针对最近提出的公路桥梁控制的Benchmark问题进行仿真分析,结果表明:在不同场地类型和幅值的地震作用下,基于AFLC算法的主动和半主动控制策略都能够有效的抑制结构的地震响应,且MR半主动控制策略的控制效果与主动控制相近,表明了这种半主动控制策略具有很高的工程应用价值。
Semi-active control algorithm with MR damper based on adaptive fuzzy control(AFC) was proposed here for dealing with structural nonlinearity and uncertainty of external loadings.Equivalent control law was approximated using an adaptive fuzzy control system through online adjusting membership functions of conclusion part in rules.Lyapunov stability theory was employed to design the adaptive law.AFC was integrated with a clipped optimal control algorithm for MR damper.Benchmark control problem for a seismically excited highway bridge developed recently was simulated.Results showed that active and semi-active control strategies based on AFC reduce structure responses effectively when excited by seismic loadings with different soil type and different amplitude,semi-active control performance is almost the same as that of active control.It is shown that this semi-active control strategy is very valuable in engineering application.
Semi-active control algorithm with MR damper based on adaptive fuzzy control(AFC) was proposed here for dealing with structural nonlinearity and uncertainty of external loadings.Equivalent control law was approximated using an adaptive fuzzy control system through online adjusting membership functions of conclusion part in rules.Lyapunov stability theory was employed to design the adaptive law.AFC was integrated with a clipped optimal control algorithm for MR damper.Benchmark control problem for a seismically excited highway bridge developed recently was simulated.Results showed that active and semi-active control strategies based on AFC reduce structure responses effectively when excited by seismic loadings with different soil type and different amplitude,semi-active control performance is almost the same as that of active control.It is shown that this semi-active control strategy is very valuable in engineering application.
引文
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[4]David AS,Paul NR,Lin Pei yang,etc all.GA-optimized fuzzylogic control of a large-scale building for seismic loads.Engi-neering structures,2007,30(2):436—449.
[5]李芦钰,欧进萍.基于AFSMC算法的结构非线性振动MR控制与仿真分析[J].地震工程与工程振动,2006,26(2):96-103.
[6]佟绍成.非线性系统的自适应模糊控制[M].北京:科学出版社,2006.
[7]司洪伟,李东旭.自适应变论域模糊控制器在结构振动控制中的应用[J].振动与冲击,2007,26(5):81—84,155—156.
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[9]Agrawal A K,Tan P,Nagarajaiah S,et al.Benchmark structur-al control problem for a seismically excited highway bridgePart I:problem definition[J].Journal of Structural Controland Health Monitoring,2008,accepted.
[10]Tan P,Agrawal A K.Benchmark structural control problem fora seismically excited highway bridge Part II:sample controldesigns[J].Journal of Structural Control and Health Monito-ring,2008,accepted.
[2]Yi F,Dyke S J,Caicedo J M,et al.Seismic Response ControlUsing Smart Dampers.Proceedings of the 1999 AmericanControl,1999.
[3]Zhou L.Vibration control of buildings using smart magneto-rheological dampers[D].Hong Kong:The Hong Kong Uni-versity of Science and Technology,2002.
[4]David AS,Paul NR,Lin Pei yang,etc all.GA-optimized fuzzylogic control of a large-scale building for seismic loads.Engi-neering structures,2007,30(2):436—449.
[5]李芦钰,欧进萍.基于AFSMC算法的结构非线性振动MR控制与仿真分析[J].地震工程与工程振动,2006,26(2):96-103.
[6]佟绍成.非线性系统的自适应模糊控制[M].北京:科学出版社,2006.
[7]司洪伟,李东旭.自适应变论域模糊控制器在结构振动控制中的应用[J].振动与冲击,2007,26(5):81—84,155—156.
[8]王立新.模糊系统与模糊控制教程[M].北京:清华大学出版社,2003.
[9]Agrawal A K,Tan P,Nagarajaiah S,et al.Benchmark structur-al control problem for a seismically excited highway bridgePart I:problem definition[J].Journal of Structural Controland Health Monitoring,2008,accepted.
[10]Tan P,Agrawal A K.Benchmark structural control problem fora seismically excited highway bridge Part II:sample controldesigns[J].Journal of Structural Control and Health Monito-ring,2008,accepted.
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