Title :
Transforming a nonlinear system to an extended Brunovsky canonical form without feedback
Author :
Zhang, Duan ; Lu, Jiangang ; Gao, Yuan ; Sun, Youxian
Author_Institution :
National Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China
Abstract :
Using the differential geometric control theory, we present the necessary and sufficient conditions under which an analytic affine nonlinear system with multiple inputs is equivalent to, via state transformation without feedback, a kind of extended Brunovsky canonical form. The proof is based on a new technique for applying the Frobenius Theorem in a more convenient way by converting a set of quasilinear partial differential equations with the same main portion to a set of homogeneous linear partial differential equations.
Keywords :
control system synthesis; linear differential equations; nonlinear control systems; partial differential equations; state feedback; Brunovsky canonical form; Frobenius theorem; control theory; differential geometry; homogeneous linear partial differential equations; nonlinear system; quasilinear partial differential equations; state feedback; state transformation; Control systems; Control theory; Industrial control; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Partial differential equations; State feedback; Sufficient conditions; Sun;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470043
