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LPV technique for the rejection of sinusoidal disturbance with time-varying frequency

Journal Article


Abstract


  • This design of a linear parameter-varying (LPV)' controller for the rejection of sinusoidal disturbance with time-varying frequency but measurable on-line for implementation purposes is described. The approach proposed is based on modelling the sinusoidal disturbance with a measurable time-varying frequency as an LPV model and adding this model to the controlled linear time-invariant (LTJ) system to formulate an augmented LPV system. Then a stabilising H-like LPV controller is constructed for the augmented LPV system based on the Lyapunov approach with a single quadratic Lyapunov function. The effectiveness of the LPV controller is assessed by means of several simulation trials on a two-mass-spring-damper system. Numerical results are used to demonstrate the validity of the analytical results and the ability of the algorithms to reject sinusoidal disturbance with time-varying frequency.

Publication Date


  • 2003

Citation


  • Du, H., Zhang, L., Lu, Z., & Shi, X. (2003). LPV technique for the rejection of sinusoidal disturbance with time-varying frequency. IEE Proceedings: Control Theory and Applications, 150(2), 132-138. doi:10.1049/ip-cta:20030101

Scopus Eid


  • 2-s2.0-0037353660

Start Page


  • 132

End Page


  • 138

Volume


  • 150

Issue


  • 2

Abstract


  • This design of a linear parameter-varying (LPV)' controller for the rejection of sinusoidal disturbance with time-varying frequency but measurable on-line for implementation purposes is described. The approach proposed is based on modelling the sinusoidal disturbance with a measurable time-varying frequency as an LPV model and adding this model to the controlled linear time-invariant (LTJ) system to formulate an augmented LPV system. Then a stabilising H-like LPV controller is constructed for the augmented LPV system based on the Lyapunov approach with a single quadratic Lyapunov function. The effectiveness of the LPV controller is assessed by means of several simulation trials on a two-mass-spring-damper system. Numerical results are used to demonstrate the validity of the analytical results and the ability of the algorithms to reject sinusoidal disturbance with time-varying frequency.

Publication Date


  • 2003

Citation


  • Du, H., Zhang, L., Lu, Z., & Shi, X. (2003). LPV technique for the rejection of sinusoidal disturbance with time-varying frequency. IEE Proceedings: Control Theory and Applications, 150(2), 132-138. doi:10.1049/ip-cta:20030101

Scopus Eid


  • 2-s2.0-0037353660

Start Page


  • 132

End Page


  • 138

Volume


  • 150

Issue


  • 2