Title :
On stabilization of nonlinear systems affine in control
Author :
Liu, Xinmin ; Lin, Zongli
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA
Abstract :
In a recent paper, we developed a structural decomposition for MIMO nonlinear systems that are affine in control but otherwise general. In this paper we exploit the properties of such a decomposition for the purpose of solving the stabilization problem. In particular, this decomposition simplifies the conventional backstepping design, motivates a new backstepping design procedure that is able to stabilize some systems on which the conventional backstepping is not applicable, and allows the stabilization of non-square systems.
Keywords :
MIMO systems; nonlinear control systems; stability; MIMO nonlinear systems; backstepping design; nonlinear system stabilization; nonsquare system stabilization; structural decomposition; Backstepping; Control systems; Displays; Heuristic algorithms; Linear systems; MIMO; Nonlinear control systems; Nonlinear systems; Surges; Vectors;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587139
