TY - GEN
T1 - A simplified multi-input multi-output formulation for the quantitative feedback theory
AU - Yaniv, Oded
AU - Chait, Yossi
PY - 1991
Y1 - 1991
N2 - A simplified multi-input/output (MIMO) formulation is being developed for the quantitative feedback theory (QFT) for the 2 × 2 (n = 2) case. This formulation is consistent with basic QFT philosophy in that performance is specified for the individual closed-loop transfer functions and design insight is provided for minimization of control bandwidths. The simplified formulation turns the solution of a simultaneous robust stability and robust model matching problem into a two (n in general) step procedure of solving constrained quadratic equations (whose coefficients are linear functions of the plants and the performance constraints); the traditional procedure requires six (n + 2n2 in general) steps for a similar problem. This establishes the main contribution of this paper. A numerical example is utilized to illustrate the simplified formulation and to demonstrate the QFT's procedure of minimization of control bandwidths in MIMO problems.
AB - A simplified multi-input/output (MIMO) formulation is being developed for the quantitative feedback theory (QFT) for the 2 × 2 (n = 2) case. This formulation is consistent with basic QFT philosophy in that performance is specified for the individual closed-loop transfer functions and design insight is provided for minimization of control bandwidths. The simplified formulation turns the solution of a simultaneous robust stability and robust model matching problem into a two (n in general) step procedure of solving constrained quadratic equations (whose coefficients are linear functions of the plants and the performance constraints); the traditional procedure requires six (n + 2n2 in general) steps for a similar problem. This establishes the main contribution of this paper. A numerical example is utilized to illustrate the simplified formulation and to demonstrate the QFT's procedure of minimization of control bandwidths in MIMO problems.
UR - http://www.scopus.com/inward/record.url?scp=0026404883&partnerID=8YFLogxK
U2 - 10.23919/acc.1991.4791747
DO - 10.23919/acc.1991.4791747
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AN - SCOPUS:0026404883
SN - 0879425652
SN - 9780879425654
T3 - Proceedings of the American Control Conference
SP - 1995
EP - 2000
BT - Proceedings of the American Control Conference
PB - Publ by American Automatic Control Council
T2 - Proceedings of the 1991 American Control Conference
Y2 - 26 June 1991 through 28 June 1991
ER -