TY - JOUR
T1 - Quantitative design method for mimo uncertain plants to achieve prescribed diagonal dominant closed-loop minimum-phase tolerances
AU - Yaniv, O.
PY - 1988/2
Y1 - 1988/2
N2 - A quantitative design method for multi-input multi-output linear time-invariant feedback systems for plants with large uncertainty has been presented by Horowitz(1982), and by Yaniv and Horowitz (1986). This design method is developed here to guarantee minimum-phase closed-loop diagonal elements for systems with basically non-interacting (Horowitz and Loecher 1981) off-diagonal closed-loop tolerances. The advantage of this design is that with minimum-phase transfer functions, a very important class of time-domain specifications can be translated to the frequency domain, as shown by Krishman and Cruickshanks (1977) and by Horowitz (1976). The attractive properties of this design method are: (a) the problem is reduced to a successive single-loop design with no interaction between the loops, and no iterations are necessary; (b) the technique can be applied to all 11 x n plants P with P- I having no poles in the right-half plane, and satisfying some conditions described in § 5; (c) the procedure is interactive with n steps for an n x n MIMO plant, and in each step, one of the elements of the diagonal feedback compensation and one row of the prefilter matrix are designed.
AB - A quantitative design method for multi-input multi-output linear time-invariant feedback systems for plants with large uncertainty has been presented by Horowitz(1982), and by Yaniv and Horowitz (1986). This design method is developed here to guarantee minimum-phase closed-loop diagonal elements for systems with basically non-interacting (Horowitz and Loecher 1981) off-diagonal closed-loop tolerances. The advantage of this design is that with minimum-phase transfer functions, a very important class of time-domain specifications can be translated to the frequency domain, as shown by Krishman and Cruickshanks (1977) and by Horowitz (1976). The attractive properties of this design method are: (a) the problem is reduced to a successive single-loop design with no interaction between the loops, and no iterations are necessary; (b) the technique can be applied to all 11 x n plants P with P- I having no poles in the right-half plane, and satisfying some conditions described in § 5; (c) the procedure is interactive with n steps for an n x n MIMO plant, and in each step, one of the elements of the diagonal feedback compensation and one row of the prefilter matrix are designed.
UR - http://www.scopus.com/inward/record.url?scp=0023843121&partnerID=8YFLogxK
U2 - 10.1080/00207178808906028
DO - 10.1080/00207178808906028
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0023843121
SN - 0020-7179
VL - 47
SP - 519
EP - 528
JO - International Journal of Control
JF - International Journal of Control
IS - 2
ER -