DocumentCode :
2618
Title :
Robust stabilisation of non-triangular multi-input switched non-linear systems and its application to a continuously stirred tank reactor system
Author :
Lijun Long ; Jun Zhao
Author_Institution :
State Key Lab. of Synthetical Autom. for Process Ind., Northeastern Univ., Shenyang, China
Volume :
7
Issue :
5
fYear :
2013
fDate :
March 21 2013
Firstpage :
697
Lastpage :
706
Abstract :
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.
Keywords :
Lyapunov methods; nonlinear control systems; stability; state feedback; tanks (containers); backstepping technique; continuously stirred tank reactor system; global robust stabilisation; multiple Lyapunov functions; nontriangular multiinput switched nonlinear systems; p-normal form; power integrator; solvability; state-feedback controllers; sufficient condition;
fLanguage :
English
Journal_Title :
Control Theory & Applications, IET
Publisher :
iet
ISSN :
1751-8644
Type :
jour
DOI :
10.1049/iet-cta.2012.0711
Filename :
6544479
Link To Document :
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