Lyapunov functions for generalized discrete-time multivariable Popov criterion

N.S. Ahmad; W.P. Heath; G. Li

doi:10.3182/20110828-6-IT-1002.00402

Lyapunov functions for generalized discrete-time multivariable Popov criterion

N.S. Ahmad
, W.P. Heath
, G. Li

College of Life and Environmental Sciences, University of Exeter, Penryn Campus, Penryn, 9 TR10 9EZ, UK.
University of Manchester

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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This paper shows the existence of Lur'e-Postkinov Lyapunov functions for the generalized multivariable discrete-time Popov criterion. The nonlinearities in the Lur'e system considered here are monotonic, sector- and slope-restricted. We discuss the cases where the nonlinearities are diagonal and non-diagonal. Our derivation is based on the discrete-time Kalman-Yakubovich-Popov (KYP) lemma and the S-Procedure, and results in Linear Matrix Inequality (LMI) conditions which can be solved using convex optimization methods.

Iaith wreiddiol	Anadnabyddus
Tudalennau (o-i)	3392-3397
Nifer y tudalennau	6
Cyfnodolyn	IFAC Proceedings Volumes (IFAC-PapersOnline)
Cyfrol	44
Rhif cyhoeddi	1
Dyddiad ar-lein cynnar	1 Ion 2011
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.3182/20110828-6-IT-1002.00402
Statws	Cyhoeddwyd - 25 Ebr 2016
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

10.3182/20110828-6-IT-1002.00402

Dyfynnu hyn

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AB - This paper shows the existence of Lur'e-Postkinov Lyapunov functions for the generalized multivariable discrete-time Popov criterion. The nonlinearities in the Lur'e system considered here are monotonic, sector- and slope-restricted. We discuss the cases where the nonlinearities are diagonal and non-diagonal. Our derivation is based on the discrete-time Kalman-Yakubovich-Popov (KYP) lemma and the S-Procedure, and results in Linear Matrix Inequality (LMI) conditions which can be solved using convex optimization methods.

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