TY - JOUR
T1 - Simultaneous Stabilization and Simultaneous Pole-Placement by Nonswitching Dynamic Compensation
AU - Ghosh, Bijoy K.
AU - Byrnes, Christopher I.
PY - 1983
Y1 - 1983
N2 - In this paper, motivated by questions in fault tolerance, we investigate the existence of a compensator which simultaneously renders a given r-tuple of plants internally stable. Sufficient conditions are derived for simultaneous pole-assignability of the generic r-tuple by dynamic output feedback, which are also shown to be necessary (and equivalent to generic stabilizability) in the case where the number of either input or output channels is one. We also derive an upper bound on the order of a simultaneous pole-assigning compensator. If r = 1, this reduces to the condition derived by Brasch and Pearson, while if r = 2, this contains the recent theorem by Vidyasagar and Viswanadham. The cases r ≥ 3 are new.
AB - In this paper, motivated by questions in fault tolerance, we investigate the existence of a compensator which simultaneously renders a given r-tuple of plants internally stable. Sufficient conditions are derived for simultaneous pole-assignability of the generic r-tuple by dynamic output feedback, which are also shown to be necessary (and equivalent to generic stabilizability) in the case where the number of either input or output channels is one. We also derive an upper bound on the order of a simultaneous pole-assigning compensator. If r = 1, this reduces to the condition derived by Brasch and Pearson, while if r = 2, this contains the recent theorem by Vidyasagar and Viswanadham. The cases r ≥ 3 are new.
UR - http://www.scopus.com/inward/record.url?scp=0020779548&partnerID=8YFLogxK
U2 - 10.1109/TSMC.1983.6313141
DO - 10.1109/TSMC.1983.6313141
M3 - Article
AN - SCOPUS:0020779548
VL - SMC-13
SP - 533
EP - 538
JO - IEEE Transactions on Systems, Man and Cybernetics
JF - IEEE Transactions on Systems, Man and Cybernetics
SN - 0018-9472
IS - 4
ER -