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

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 res...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 63; no. 9; pp. 3187 - 3188
Main Authors Pandey, Amit P., de Oliveira, Mauricio C.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asymptotic stability
Automatic control
Design parameters
Discrete time systems
Gain-scheduling
Liapunov functions
linear matrix inequalities
linear parameter-varying filter
Lyapunov methods
Observers
Parameter uncertainty
Time-varying systems
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2018.2794403