Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Feedback control of intelligent structures with uncertainties and its robustness analysis

  • Cao, Zongjie (Department of Engineering Mechanics, Shanghai Jiaotong University, The Second Aeronautic Institute of Air Force) ;
  • Wen, Bangchun (School of Mechanical Engineering and Automation, Northeastern University) ;
  • Kuang, Zhenbang (Department of Engineering Mechanics, Shanghai Jiaotong University)
  • Received : 2003.01.13
  • Accepted : 2003.06.09
  • Published : 2003.09.25
⟨ Previous Next ⟩

Abstract

Variations in system parameters due to uncertainties of parameters may result in system performance deterioration and create system internal stability problems. Uncertainties in structural modeling of structures are often considered to ensure that the control system is robust with respect to response errors. So the uncertain concept plays an important role in the analysis and design of the engineering structures. In this paper, the active control of the intelligent structures with the uncertainties is studied and a new method for analyzing the robustness of systems with the uncertainties is presented. Firstly, the system with uncertain parameters is considered as the perturbation of the system with deterministic parameters. Secondly, the feedback control law is designed on the basis of deterministic system. Thirdly, perturbation analysis and robustness analysis of intelligent structures with uncertainties are discussed when the feedback control law is applied to the original system and perturbed system. Combining the convex model of uncertainties with the finite element method, the analysis theory of the robustness of intelligent structures with the uncertainties can be developed. The description and computation of the robustness of intelligent structures with uncertain parameters is obtained. Finally, a numerical example of the application of the present method is given to show the validity of the method.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of P.R. China

References

  1. Ben-Haim, Y. and Elishakoff, I. (1990), Convex Models of Uncertainty in Applied Mechanics, Elsevier SciencePublishers, Amsterdam, Netherland.
  2. Cao, Z.J., Wen, B.C. and Chen, S.H. (2001), "Vibration control and perturbation analysis of intelligent structureswith closely-spaced frequencies", ACTA Mechanica Sinica, 33(6), 787-795.
  3. Chen, S.H. and Cao, Z.J. (2000), "A new method for determining locations of the piezoelectric sensor/actuatorfor vibration control of intelligent structures", J. Intelligent Material Systems and Structures, 11, 108-115. https://doi.org/10.1177/104538900772664305
  4. Chen, S.H., Cao, Z.J. and Wen, B.C. (1999), "Dynamic behaviour of open-loop systems of intelligent structures",J. Aerospace Engineering, 213, 293-303.
  5. Chen, S.H. (1992), Vibration Theory of Structural Systems with Random Parameters, Jilin Science and Technology Publishing House.
  6. Chen, S.H., Liu, Z.S. and Zhang Z.F. (1992), "Random vibration analysis for large-scale structures with randomparameters", Comput. Struct., 43, 681-685. https://doi.org/10.1016/0045-7949(92)90509-X
  7. Conlreras, M. (1980), "The stochastic finite element methods", Comput. Struct., 12, 341-348. https://doi.org/10.1016/0045-7949(80)90031-0
  8. Contracts, H. (1980), "The stochastic finite element method", Comput. Struct., 12, 341-348. https://doi.org/10.1016/0045-7949(80)90031-0
  9. Ibbini, M.S. and Alawneh S.R. (1998), "Closed-loop control system robustness improvement by a parameterisedstate feedback", IEE proc-Control Appl., 145(1), 33-40. https://doi.org/10.1049/ip-cta:19981545
  10. Ibrahim, R. (1987), "Structural dynamics with parameter uncertainties", Applied Mechanics Reviews, 4, 309-328.
  11. Karbassi, S.M. and Bell, D.J. (1993), "Parametric time-optimal control of linear discrete-time systems by statefeedback, Part I, Regular Kronecker invariant", Int. J. Control, 57(4), 817-830. https://doi.org/10.1080/00207179308934415
  12. Kautsky, J., Nichols, N.K. and VanDoorens, P. (1985), "Robust pole assignment in linear state feedback", Int. J.Control, 41(5), 1129-1155. https://doi.org/10.1080/0020718508961188
  13. Lindberg, H.E. (1991), "Dynamic response and buckling failure measure for structures with bounded and randomimperfections", Trans. ASME, J. Appl. Mech., 58, 1092-1094. https://doi.org/10.1115/1.2897690
  14. Liu, Y. and Cheng, G.D. (1989), "The discussion about the structural fuzzy optimization(in Chinese)",Computational Mechanics and Its Applications, 6(3).
  15. Shi, Z.C. and Gao, W.B. (1987), "Stability of interval parameter matrices", Int. J. Control, 45, 1093-1101. https://doi.org/10.1080/00207178708933792

Cited by

  1. Feedback control design for intelligent structures with closely-spaced eigenvalues vol.52, pp.5, 2014, https://doi.org/10.12989/sem.2014.52.5.903