Title :
A finite pole assignment procedure for retarded nonlinear systems
Author :
Oguchi, Toshiki ; Watanabe, Atsushi ; Nakamiz, Takayoshi
Author_Institution :
Dept. of Comput. Sci., Nat. Defense Acad., Kanagawa, Japan
Abstract :
Considers a finite pole assignment problem for nonlinear systems with time delays in state variables. Extensions of the Lie derivative and the Lie bracket are introduced to differential-difference control systems which make it possible to derive a coordinates transformation and a state feedback law to transform them into finite dimensional linear systems. Then controllers are designed by a finite pole assignment procedure. Effectiveness of the method is tested by illustrative simulations
Keywords :
Lie groups; delay systems; linear systems; multidimensional systems; nonlinear control systems; pole assignment; state feedback; Lie bracket; Lie derivative; coordinates transformation; differential-difference control systems; finite dimensional linear systems; finite pole assignment procedure; retarded nonlinear systems; state feedback law; time delays; Computer science; Control systems; Delay effects; Linear feedback control systems; Linear systems; Mechanical engineering; Mechanical variables control; Nonlinear control systems; Nonlinear systems; State feedback;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611943
