Open AccessSpatio-temporal synchronization of parameter mismatch system based on differential geometry theory
Author(s) -
Tan Ping-An,
Lei Yang,
Chao Zhang
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.230507
Subject(s) - feedback linearization , linearization , nonlinear system , decoupling (probability) , affine transformation , control theory (sociology) , synchronization (alternating current) , differential (mechanical device) , precondition , differential geometry , transformation (genetics) , computer science , mathematics , control (management) , mathematical analysis , physics , topology (electrical circuits) , geometry , control engineering , quantum mechanics , artificial intelligence , combinatorics , engineering , programming language , biochemistry , chemistry , gene , thermodynamics
A new nonlinear synchronization control strategy for a parameter mismatch system based on exact linearization via feedback is presented. First, a nonlinear affine model of parameter mismatch system is established, and the precondition of exact linearization is verified based on the differential geometry theory. Through the nonlinear coordinate transformation, the linear decoupling system is obtained, so the state feedback control law can be determined by the linear optimal control theory. It is found by simulation results that the proposed synchronization method based on exact linearization via feedback can ensure the successful control of the parameter mismatch system.