LPV Technique for the Rejection of Sinusoidal Disturbance with Time-Varying Frequency

The Institution of Engineering and Technology (IET)
Publication Type:
Journal Article
IEEE Proceedings, Control Theory and Applications, 2003, 150 (2), pp. 132 - 138
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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 (LTI) system to formulate an augmented LPV system. Then a stabilising H[sub ?]-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.
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