Title :
A Lie algebraic approach to the control of nonlinear discrete-time dynamic systems
Author :
Magaña, Mario E. ; Zak, Stanislaw H.
Author_Institution :
Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA
Abstract :
It is shown that under certain conditions a nonlinear mapping can be obtained that transforms a given class of nonlinear discrete-time dynamic systems into the so-called nonlinear controller form by means of Lie algebraic methods. The usefulness of the approach is demonstrated with an example. The work is presented with minimal exotic mathematical notation to ease its readability.<>
Keywords :
Lie groups; discrete time systems; group theory; nonlinear control systems; Lie algebraic methods; control; nonlinear controller form; nonlinear discrete-time dynamic systems; nonlinear mapping; Discrete time systems; Group theory; Lie groups; Nonlinear systems;
Conference_Titel :
Systems Engineering, 1989., IEEE International Conference on
Conference_Location :
Fairborn, OH, USA
DOI :
10.1109/ICSYSE.1989.48741
