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.
|Journal||International Journal of Robust and Nonlinear Control|
|Publication status||Published - 1998|