结构振动系统的模态解耦控制
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摘要
基于特征结构配置的参数化结果,给出了实现结构振动系统模态解耦的充要条件,导出了期望的反馈增益阵及闭环特征向量矩阵的全体参数化表示。该方法在实现模态解耦的同时,还提供了全部自由度,可用来实现系统设计中某些性能要求。该方法直接基于原系统的参数矩阵,便于工程应用。三级质量弹簧系统的实例表明该方法有效。
Based on the parametric results for eigenstructure assignment, sufficient and necessary conditions for structural vibration systems modes decoupling are proposed in this paper. Under these conditions, all the desired state feedback laws and all the desired closed-loop eigenvector matrices are established. This parametric method offers not only all the parametric expressions for the modes decoupling controllers, but also all the degrees of freedom that can be further utilized to satisfy additional performance specifications in practical control system designs. This method involves directly the original data, thus it is convenient to use. An illustrative example of a three-degree-quality spring system shows the effectiveness of the proposed parametric method.
Based on the parametric results for eigenstructure assignment, sufficient and necessary conditions for structural vibration systems modes decoupling are proposed in this paper. Under these conditions, all the desired state feedback laws and all the desired closed-loop eigenvector matrices are established. This parametric method offers not only all the parametric expressions for the modes decoupling controllers, but also all the degrees of freedom that can be further utilized to satisfy additional performance specifications in practical control system designs. This method involves directly the original data, thus it is convenient to use. An illustrative example of a three-degree-quality spring system shows the effectiveness of the proposed parametric method.
引文
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[8]Wang G S,Duan G R.Robust Pole Assignment via P-D Feed-back in a Class of Second-order Dynamic Systems[C]∥Inter-national Conference of Automation,Robots and Computer Vi-sion.New York:IEEE,2004:1152-1156.
[9]Wang G S,Liang B,Duan G R.Reconfiguring Second-order Dynamic Systems via State Feedback Eigenstructure Assign-ment[J].International Journal of Control,Automation.and Systems,2005,3(1):109-116.
[10]Wang G S,LQ,Duan G R.Design of Reconfiguring Control Systems via State Feedback Eigenstructure Assignment[J].International Journal of Information Technology,2005,11(7):61-70.
[11]段广仁,王国胜.矩阵方程EVJ2+AVJ+CV=BW的两种解析通解[J].哈尔滨工业大学学报,2005,37(1):1-4.
[12]王国胜,吕强,梁冰,等.不确定二阶动力学系统的鲁棒特征结构配置设计[J].系统工程与电子技术,2006,28(2):271-274.
[13]王国胜,张春巍,段广仁,等.基于特征结构配置算法的结构鲁棒控制及仿真[J].地震工程与工程振动,2005,25(2):125-129.
[2]李帆,周凤岐,周军.导弹基于特征结构配置的输出反馈解耦控制[J].弹箭与制导学报,2001,21(3):5-8.
[3]Wilson R F,Cloutier J R,Yedavalli R K.Lyapunov Con-strainted Eigenstructure Assignment for the Design of Robust Mode-decoupled Roll-yaw Missile Autopilots[C]∥IEEE Conference on Control Applications.Dayton:IEEE,1992:994-999.
[4]Chouaib I,Pradin B.On Mode Decoupling and MinimumSen-sitivity by Eigenstructure Assignment[C]∥Proceedings7th Mediterditerranean Electrotechnical Conference.Antalya:IEEE,1994:663-666.
[5]Duan G R,Liu G P.Complete Parametric Approach for Eigen-structure Assignment in a Class of Second-order Linear Systems[J].Automatica,2002,38(4):725-729.
[6]Duan G R,Wang G S,Liu G P.Eigenstructure Assignment in a Class of Second-order Linear Systems:A Complete Paramet-ric Approach[C]∥Proceedings of CACSCUK.Manchester:IEE,2002:89-96.
[7]Duan G R,Wang G S.Eigenstructure Assignment in a Class of Second-order Descriptor Linear Systems:A Complete Para-metric Approach[J].International Journal of Automation and Computing,2005,2(1):1-5.
[8]Wang G S,Duan G R.Robust Pole Assignment via P-D Feed-back in a Class of Second-order Dynamic Systems[C]∥Inter-national Conference of Automation,Robots and Computer Vi-sion.New York:IEEE,2004:1152-1156.
[9]Wang G S,Liang B,Duan G R.Reconfiguring Second-order Dynamic Systems via State Feedback Eigenstructure Assign-ment[J].International Journal of Control,Automation.and Systems,2005,3(1):109-116.
[10]Wang G S,LQ,Duan G R.Design of Reconfiguring Control Systems via State Feedback Eigenstructure Assignment[J].International Journal of Information Technology,2005,11(7):61-70.
[11]段广仁,王国胜.矩阵方程EVJ2+AVJ+CV=BW的两种解析通解[J].哈尔滨工业大学学报,2005,37(1):1-4.
[12]王国胜,吕强,梁冰,等.不确定二阶动力学系统的鲁棒特征结构配置设计[J].系统工程与电子技术,2006,28(2):271-274.
[13]王国胜,张春巍,段广仁,等.基于特征结构配置算法的结构鲁棒控制及仿真[J].地震工程与工程振动,2005,25(2):125-129.
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