NDLI: H∞Guaranteed Cost Computation for Uncertain Time-Delay Systems

Content Provider	IEEE Xplore Digital Library
Author	Goncalves, E.N. Bastos, S.B. Palhares, R.M. Takahashi, R.H.C. Mesquita, R.C. Campos, C.D. Ekel, P.
Copyright Year	2005
Description	Author affiliation: Department of Electrical Engineering, Federal Center of Technological Education of Minas Gerais, Av. Amazonas 7675, 31510-470, Belo Horizonte, MG, Brazil. eduardong@des.cefetmg.br (Goncalves, E.N.)
Abstract	This paper presents a less conservative approach to compute, with any prescribed accuracy, the H∞guaranteed cost of time-delay continuous-time linear time-invariant systems subjected to polytopic uncertainties. The proposed analysis approach is based on a branch-and-bound algorithm that incorporates a recent LMI-based analysis formulation and a new polytope partition strategy. In the branch-and-bound algorithm, the upper bound function is defined as the worst case guaranteed H∞disturbance attention level computed for the subpolytopes achieved with successive partitions of the polytope which describes the uncertainty domain. The lower bound function is defined as the worst case H∞norm computed in the polytope and subpolytope vertices. The difference between the upper and lower bound functions converges to zero as the initial polytope is split into smaller subpolytopes resulting in the H∞guaranteed cost for the whole initial polytope with the required accuracy. It is also presented an algorithm to implement a d−dimensional simplex subdivision technique to be used in the branch-and-bound algorithm.
Starting Page	7169
Ending Page	7174
File Size	197197
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1583317
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Computational efficiency Uncertainty Costs Algorithm design and analysis Stability analysis Performance analysis Partitioning algorithms Linear matrix inequalities Upper bound Attenuation simplex edgewise subdivision H time-delay polytopebounded bounded uncertainty branch-and-bound algorithm
Content Type	Text
Resource Type	Article

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