TY - GEN
T1 - Robust servo synthesis by minimization of induced ℓ2 and ℓ∞ norms
AU - Shaked, Uri
AU - Yaesh, Isaac
PY - 2007
Y1 - 2007
N2 - The problem of designing induced ℓ2 (i.e. H ∞) and ℓ∞ (i.e. ℓ1) output-feedback controllers for linear discrete-time systems with polytopic type uncertainties is considered. The design process involves a state augmentation procedure which results in a nonminimal system the states of which are obtained by delayed inputs and outputs of the plant. Applying state-feedback control to this plant, using an LMI technique, output-feedback controllers are readily obtained which are of order comparable to the one of the plant. These controllers ensure quadratic stability and disturbance attenuation with a prescribed level within the uncertainty polytope. The resulting method is simple and most powerful. It is illustrated via a solution of an ECC'95 benchmark problem that deals with the control of a flexible transmission system with varying loads.
AB - The problem of designing induced ℓ2 (i.e. H ∞) and ℓ∞ (i.e. ℓ1) output-feedback controllers for linear discrete-time systems with polytopic type uncertainties is considered. The design process involves a state augmentation procedure which results in a nonminimal system the states of which are obtained by delayed inputs and outputs of the plant. Applying state-feedback control to this plant, using an LMI technique, output-feedback controllers are readily obtained which are of order comparable to the one of the plant. These controllers ensure quadratic stability and disturbance attenuation with a prescribed level within the uncertainty polytope. The resulting method is simple and most powerful. It is illustrated via a solution of an ECC'95 benchmark problem that deals with the control of a flexible transmission system with varying loads.
UR - http://www.scopus.com/inward/record.url?scp=50049135283&partnerID=8YFLogxK
U2 - 10.1109/ISIE.2007.4374566
DO - 10.1109/ISIE.2007.4374566
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AN - SCOPUS:50049135283
SN - 1424407559
SN - 9781424407552
T3 - IEEE International Symposium on Industrial Electronics
SP - 24
EP - 29
BT - 2007 IEEE International Symposium on Industrial Electronics, ISIE 2007, Proceedings
T2 - 2007 IEEE International Symposium on Industrial Electronics, ISIE 2007
Y2 - 4 June 2007 through 7 June 2007
ER -