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Eigenstructure Assignment in a Class of Second-order Descriptor Linear Systems: A Complete Parametric Approach 被引量:4

Eigenstructure Assignment in a Class of Second-order Descriptor Linear Systems: A Complete Parametric Approach
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摘要 In this paper eigenstructure assignment via proportional-plus-derivative feedback is investigated for a class of second-order descriptor linear systems. Under certain conditions, simple, general and complete parametric solutions of both finite closed-loop eigenvector matrices and feedback gain matrices are derived. The parametric approach utilizes directly original system data, involves manipulations only on n-dimensional matrices, and reveals all the design degrees of freedom which can be further utilized to achieve certain additional system specifications. A numerical example shows the effect of the proposed approach. In this paper eigenstructure assignment via proportional-plus-derivative feedback is investigated for a class of second-order descriptor linear systems. Under certain conditions, simple, general and complete parametric solutions of both finite closed-loop eigenvector matrices and feedback gain matrices are derived. The parametric approach utilizes directly original system data, involves manipulations only on n-dimensional matrices, and reveals all the design degrees of freedom which can be further utilized to achieve certain additional system specifications. A numerical example shows the effect of the proposed approach.
出处 《International Journal of Automation and computing》 EI 2005年第1期1-5,共5页 国际自动化与计算杂志(英文版)
关键词 SECOND order descriptor linear systems eigenstructure assignment proportional plus derivative feedback R CONTROLLABLE Second order descriptor linear systems eigenstructure assignment proportional plus derivative feedback R controllable
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  • 4[3]Wilson R F,Cloutier J R,Yedavalli R K.Lyapunov Constrainted Eigenstructure Assignment for the Design of Robust Mode-decoupled Roll-yaw Missile Autopilots[C]∥ IEEE Conference on Control Applications.Dayton:IEEE,1992:994-999.
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  • 6[5]Duan G R,Liu G P.Complete Parametric Approach for Eigenstructure Assignment in a Class of Second-order Linear Systems[J].Automatica,2002,38(4):725-729.
  • 7[6]Duan G R,Wang G S,Liu G P.Eigenstructure Assignment in a Class of Second-order Linear Systems:A Complete Parametric Approach[C]∥ Proceedings of CACSCUK.Manchester:IEE,2002:89-96.
  • 8[8]Wang G S,Duan G R.Robust Pole Assignment via P-D Feedback in a Class of Second-order Dynamic Systems[C]∥ International Conference of Automation,Robots and Computer Vision.New York:IEEE,2004:1152-1156.
  • 9[9]Wang G S,Liang B,Duan G R.Reconfiguring Second-order Dynamic Systems via State Feedback Eigenstructure Assignment[J].International Journal of Control,Automation.and Systems,2005,3(1):109-116.
  • 10[10]Wang G S,Lü Q,Duan G R.Design of Reconfiguring Control Systems via State Feedback Eigenstructure Assignment[J].International Journal of Information Technology,2005,11(7):61-70.

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