Open AccessRobust stabilisation of non‐triangular multi‐input switched non‐linear systems and its application to a continuously stirred tank reactor system
Author(s) -
Long Lijun,
Zhao Jun
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2012.0711
Subject(s) - control theory (sociology) , backstepping , integrator , lyapunov function , power (physics) , state (computer science) , stability theory , stability (learning theory) , mathematics , computer science , nonlinear system , control engineering , control (management) , engineering , adaptive control , algorithm , computer network , physics , bandwidth (computing) , quantum mechanics , artificial intelligence , machine learning
The problem of global robust stabilisation is investigated for a class of multi‐input switched non‐linear systems where each subsystem is not assumed to be asymptotically stabilisable when applying the backstepping technique. The systems under study admit a structure which includes both the p ‐normal form and the nested lower triangular form as special cases. By exploiting the multiple Lyapunov functions method and the adding a power integrator technique, a sufficient condition for the solvability of the global robust stabilisation problem is derived by constructing state‐feedback controllers for individual subsystems and a switching law. Also, an approach is proposed to deal with individual coordinate transformations for subsystems that are required when applying the adding a power integrator technique. The effectiveness of the proposed control scheme is illustrated by its application to a two continuously stirred tank reactor system, which cannot be handled by the existing approaches.