TY - GEN
T1 - Classical LQ regulator applied to the system with nonzero excitations
AU - Gessing, Ryszard
N1 - Publisher Copyright:
© 2007 EUCA.
PY - 2007
Y1 - 2007
N2 - The LQ regulators with state or output feedback, designed for nonzero plant initial conditions and zero external excitations and applied to the systems with nonzero excitations are considered. In the case of the LQ regulator with output feedback, zero external excitations and nonzero plant initial conditions it is shown that the regulator is optimal or suboptimal if its initial conditions are adequate or nonadequate to those of the plant, respectively. It is shown that the LQ regulators with state or output feedback applied to systems with nonzero excitations retain their optimality properties which however concern only the transients generated by the excitations. Additionally, a necessary condition of regulation for MIMO plant is formulated and proved.
AB - The LQ regulators with state or output feedback, designed for nonzero plant initial conditions and zero external excitations and applied to the systems with nonzero excitations are considered. In the case of the LQ regulator with output feedback, zero external excitations and nonzero plant initial conditions it is shown that the regulator is optimal or suboptimal if its initial conditions are adequate or nonadequate to those of the plant, respectively. It is shown that the LQ regulators with state or output feedback applied to systems with nonzero excitations retain their optimality properties which however concern only the transients generated by the excitations. Additionally, a necessary condition of regulation for MIMO plant is formulated and proved.
UR - https://www.scopus.com/pages/publications/84927725708
U2 - 10.23919/ecc.2007.7068399
DO - 10.23919/ecc.2007.7068399
M3 - Conference contribution
AN - SCOPUS:84927725708
T3 - 2007 European Control Conference, ECC 2007
SP - 3026
EP - 3032
BT - 2007 European Control Conference, ECC 2007
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2007 9th European Control Conference, ECC 2007
Y2 - 2 July 2007 through 5 July 2007
ER -