Artículos de revistas
Robust H∞ State Feedback Control Of Discrete-time Systems With State Delay: An Lmi Approach
Registro en:
Ima Journal Of Mathematical Control And Information. , v. 26, n. 3, p. 357 - 373, 2009.
2650754
10.1093/imamci/dnp018
2-s2.0-70349091470
Autor
Leite V.J.S.
Tarbouriech S.
Peres P.L.D.
Institución
Resumen
In this paper, uncertain discrete-time systems with delayed states are investigated. The uncertainty is supposed to belong to a known convex polytope and can affect all system matrices. Sufficient linear matrix inequality conditions are given for the computation of H∞-guaranteed costs and for the design of robust state feedback gains assuring an H∞ attenuation level. The conditions proposed here can assure robustness irrespective of the value of the delay and, differently from other approaches in the literature, are formulated as convex optimization problems. If the delay is known and the delayed states are available, a feedback gain depending on past values of the state can be used to improve the closed-loop performance of the system. 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