TY - JOUR
T1 - New bounded real lemma representations for time-delay systems and their applications
AU - Fridman, Emilia
AU - Shaked, U.
N1 - Funding Information:
Manuscript received July 13, 2000; revised February 19, 2001 and May 15, 2001. Recommended by Associate Editor G. Gu. This work was supported by the Ministry of Absorption of Israel, and by C&M Maus Chair at Tel Aviv University. The authors are with the Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv 69978, Israel (e-mail: [email protected]). Publisher Item Identifier S 0018-9286(01)11097-4.
PY - 2001/12
Y1 - 2001/12
N2 - New delay-dependent/delay-independent bounded real criteria are derived for linear continuous-time systems with delay in the dynamics and in the objective function. A sufficient condition for the system to possess a H∞-norm that is less than a prescribed level, is given in terms of a linear matrix inequality (LMI). The proposed criteria are less conservative than other existing criteria since they are based on an augmented model that is equivalent to the original system and since they require bounds for fewer terms. We apply the new bounded real criteria to state-feedback H∞ control. The advantage of the new criteria is demonstrated by four examples. The first two compare our results with those obtained in the literature for the bounded real lemma and the other two examples treat the state-feedback control problem and compare our result with recently published designs.
AB - New delay-dependent/delay-independent bounded real criteria are derived for linear continuous-time systems with delay in the dynamics and in the objective function. A sufficient condition for the system to possess a H∞-norm that is less than a prescribed level, is given in terms of a linear matrix inequality (LMI). The proposed criteria are less conservative than other existing criteria since they are based on an augmented model that is equivalent to the original system and since they require bounds for fewer terms. We apply the new bounded real criteria to state-feedback H∞ control. The advantage of the new criteria is demonstrated by four examples. The first two compare our results with those obtained in the literature for the bounded real lemma and the other two examples treat the state-feedback control problem and compare our result with recently published designs.
KW - Bounded real lemma
KW - Delay-dependent criteria
KW - H-state-feedback control
KW - Linear matrix inequalities (LMIs)
KW - Time-delay systems
UR - http://www.scopus.com/inward/record.url?scp=0035705999&partnerID=8YFLogxK
U2 - 10.1109/9.975503
DO - 10.1109/9.975503
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AN - SCOPUS:0035705999
SN - 0018-9286
VL - 46
SP - 1973
EP - 1979
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 12
ER -