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Non-fragile H8 vibration control for uncertain structural systems

Journal Article


Abstract


  • The paper deals with the robust non-fragile H∞ control problem for uncertain structural systems with additive controller gain variations. The parameter uncertainties for the mass, damping and stiffness of the structural systems are unknown but norm bounded. Based on the H ∞. control theory and a linear matrix inequality formulation, a new method for designing a robust state-feedback control law is presented. The objective is to reduce the disturbance on the controlled output to a prescribed level for all admissible parametric uncertainties and controller gain variations. A four-degree-of-freedom building model subject to seismic excitation is used to illustrate the effectiveness of the approach through simulation. © 2003 Elsevier Ltd. All rights reserved.

Publication Date


  • 2004

Citation


  • Du, H., Lam, J., & Sze, K. Y. (2004). Non-fragile H8 vibration control for uncertain structural systems. Journal of Sound and Vibration, 273(4-5), 1031-1045. doi:10.1016/S0022-460X(03)00520-0

Scopus Eid


  • 2-s2.0-2542534498

Start Page


  • 1031

End Page


  • 1045

Volume


  • 273

Issue


  • 4-5

Abstract


  • The paper deals with the robust non-fragile H∞ control problem for uncertain structural systems with additive controller gain variations. The parameter uncertainties for the mass, damping and stiffness of the structural systems are unknown but norm bounded. Based on the H ∞. control theory and a linear matrix inequality formulation, a new method for designing a robust state-feedback control law is presented. The objective is to reduce the disturbance on the controlled output to a prescribed level for all admissible parametric uncertainties and controller gain variations. A four-degree-of-freedom building model subject to seismic excitation is used to illustrate the effectiveness of the approach through simulation. © 2003 Elsevier Ltd. All rights reserved.

Publication Date


  • 2004

Citation


  • Du, H., Lam, J., & Sze, K. Y. (2004). Non-fragile H8 vibration control for uncertain structural systems. Journal of Sound and Vibration, 273(4-5), 1031-1045. doi:10.1016/S0022-460X(03)00520-0

Scopus Eid


  • 2-s2.0-2542534498

Start Page


  • 1031

End Page


  • 1045

Volume


  • 273

Issue


  • 4-5