TY - JOUR
T1 - Arbitrarily small sensitivity in multiple-input-output uncertain feedback systems
AU - Yaniv, Oded
N1 - Funding Information:
Acknowledgements--This research was supported by grant No. 86-00034 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel, and the National Science Foundation Grant ECS-8-608875 at the University of California.
PY - 1991/5
Y1 - 1991/5
N2 - A square, linear time invariant, multiple-input multiple-output plant R is considered, known only to belong to a set {R}. The plant is embedded in a feedback structure designed such that the closed loop response belongs to a specified set for all R ε{lunate} {R}. This paper develops sufficient conditions on the uncertain set {R} such that arbitrarily small sensitivity and internal stability can be achieved by the Horowitz synthesis method. Specifically, we show that, in addition to generalized single-input single-output like conditions, there exists a condition on the pole/zero excess of the controller.
AB - A square, linear time invariant, multiple-input multiple-output plant R is considered, known only to belong to a set {R}. The plant is embedded in a feedback structure designed such that the closed loop response belongs to a specified set for all R ε{lunate} {R}. This paper develops sufficient conditions on the uncertain set {R} such that arbitrarily small sensitivity and internal stability can be achieved by the Horowitz synthesis method. Specifically, we show that, in addition to generalized single-input single-output like conditions, there exists a condition on the pole/zero excess of the controller.
KW - Control theory
KW - feedback control
KW - frequency domain
KW - multivariable control systems
KW - robust control
UR - http://www.scopus.com/inward/record.url?scp=0026157280&partnerID=8YFLogxK
U2 - 10.1016/0005-1098(91)90117-K
DO - 10.1016/0005-1098(91)90117-K
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AN - SCOPUS:0026157280
SN - 0005-1098
VL - 27
SP - 565
EP - 568
JO - Automatica
JF - Automatica
IS - 3
ER -