Title :
On weak relative degree and the McGehee transformation
Author :
Fuchs, Andreas ; Varghese, Matthew ; Mukundan, Rangaswamy
Author_Institution :
Dept. of Electr. & Comput. Eng., Clarkson Univ., Potsdam, NY, USA
fDate :
7/1/1993 12:00:00 AM
Abstract :
Points where jumps in relative degree occur are presented as singularities in the vector field of the internal dynamics of systems that are candidates for input-output linearization via nonlinear feedback. For a certain class of vector fields, it is shown that the point at which the relative degree is weak can be transformed to a saddle equilibrium point at the origin
Keywords :
dynamics; feedback; linearisation techniques; nonlinear control systems; stability; McGehee transformation; SISO systems; input-output linearization; internal dynamics; nonlinear feedback; nonlinear systems; saddle equilibrium point; singularities; stability; vector field; Adaptive control; Automatic control; Centralized control; Delay effects; Hydrogen; Linear algebra; Nonlinear equations; Riccati equations; Scattering; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
