TY - JOUR
T1 - Single Diophantine equation polynomial discrete-time H2 and H∞ controller computation
AU - Zhao, Haipeng
AU - Bentsman, Joseph
N1 - Funding Information:
, This research was supported by the National Science Foundation grants CMS 20041 and EEC 96-12120, EPRI/DoD Complex Interactive Networks/Systems Initiative, and the 25 member companies of the Air Conditioning and Refrigeration Center, and Industry-University Cooperative Research Center at the University of Illinois at Urbana-Champaign.
Funding Information:
This research was supported by the National Science Foundation grants CMS 20041 and EEC 96-12120, EPRI/DoD Complex Interactive Net works/System 5 Initiative, and the 25 member companies of the Air Conditioning and Refrigeration Center, and Industry-University Cooperative Research Center at the University of Illinois at Urbana-Champaign.
Publisher Copyright:
© 2003 1FAC.
PY - 2003
Y1 - 2003
N2 - In (Zhao and Bentsman, 2002} it has been shown that for most singlein put-single-output linear discrete-time systems in polynomial format, a sequential solution of a Diophantine equation and an algebraic equation is, in theory, sufficient to calculate the corresponding H2 and H∞ controllers, Based on the results of (Zhao and Bentsman, 2002), the present work gives procedures for determining the sufficiency of a single Diophantine equation for controller calculation and for the actual calculation of the optimal controllers. Controller computations for nonminimum phase unstable plants have been carried out with relative ease.
AB - In (Zhao and Bentsman, 2002} it has been shown that for most singlein put-single-output linear discrete-time systems in polynomial format, a sequential solution of a Diophantine equation and an algebraic equation is, in theory, sufficient to calculate the corresponding H2 and H∞ controllers, Based on the results of (Zhao and Bentsman, 2002), the present work gives procedures for determining the sufficiency of a single Diophantine equation for controller calculation and for the actual calculation of the optimal controllers. Controller computations for nonminimum phase unstable plants have been carried out with relative ease.
KW - Discrete-time systems
KW - H optimal control
KW - Polynomial methods
KW - Quadratic optimal regulators
KW - Robust control
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U2 - 10.1016/S1474-6670(17)35713-0
DO - 10.1016/S1474-6670(17)35713-0
M3 - Conference article
AN - SCOPUS:85064458902
SN - 1474-6670
VL - 36
SP - 499
EP - 504
JO - IFAC Proceedings Volumes (IFAC-PapersOnline)
JF - IFAC Proceedings Volumes (IFAC-PapersOnline)
IS - 11
T2 - 4th IFAC Symposium on Robust Control Design, ROCOND 2003
Y2 - 25 June 2003 through 27 June 2003
ER -