TY - JOUR
T1 - Characterization of static feedback realizable transfer functions for nonlinear control systems
AU - Huijberts, H.J.C.
PY - 1998
Y1 - 1998
N2 - This paper gives a characterization of all transfer functions that may be realized via regular static-state feedback for a SISO nonlinear control system. It is shown that the question whether there exists a feedback realizable transfer function with a given number of zeros may be reduced to a well-known problem from real-algebraic geometry. As a by-product, solvability conditions for the linear model matching problem via static-state feedback, as well as conditions for the existence of linear subsystems of not necessarily maximal dimension are obtained.
AB - This paper gives a characterization of all transfer functions that may be realized via regular static-state feedback for a SISO nonlinear control system. It is shown that the question whether there exists a feedback realizable transfer function with a given number of zeros may be reduced to a well-known problem from real-algebraic geometry. As a by-product, solvability conditions for the linear model matching problem via static-state feedback, as well as conditions for the existence of linear subsystems of not necessarily maximal dimension are obtained.
U2 - 10.1002/(SICI)1099-1239(199809)8:11<979::AID-RNC372>3.0.CO;2-P
DO - 10.1002/(SICI)1099-1239(199809)8:11<979::AID-RNC372>3.0.CO;2-P
M3 - Article
SN - 1049-8923
VL - 8
SP - 979
EP - 994
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
IS - 11
ER -