On the Necessity of LMI-Based Design Conditions for Discrete Time LPV Filters | IEEE Journals & Magazine | IEEE Xplore

On the Necessity of LMI-Based Design Conditions for Discrete Time LPV Filters


Abstract:

In this note, we provide a proof of necessity for one of the results in [W. M. H. Heemels, J. Daafouz, and G. Millerioux, “Observer-based control of discrete-time LPV sys...Show More

Abstract:

In this note, we provide a proof of necessity for one of the results in [W. M. H. Heemels, J. Daafouz, and G. Millerioux, “Observer-based control of discrete-time LPV systems with uncertain parameters,” Automatic Control, IEEE Transactions on, vol. 55, no. 9, pp. 2130-2135, 2010]. This result is essential to the design of discrete-time linear parameter varying (LPV) filters using parameter-dependent poly-quadratic Lyapunov functions. We also provide a brief discussion ofits broader implications on the design of discrete-time LPV filters.
Published in: IEEE Transactions on Automatic Control ( Volume: 63, Issue: 9, September 2018)
Page(s): 3187 - 3188
Date of Publication: 22 January 2018

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