Open AccessStabilisation control for planar bilinear systems by using switching law to minimise return ratio
Author(s) -
Cong Shen,
Chen Jiaqi
Publication year - 2015
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.2014.1217
Subject(s) - piecewise , control theory (sociology) , planar , constant (computer programming) , control (management) , invariant (physics) , bilinear interpolation , control system , mathematics , computer science , law , engineering , mathematical analysis , artificial intelligence , political science , statistics , electrical engineering , mathematical physics , programming language , computer graphics (images)
By using piecewise constant control, the authors embed planar bilinear system into switching control model. On the basis of interpreting switching stabilisation mechanism in terms of return ratio, they develop a systematic approach to solve the piecewise constant control from the switching law that minimises return ratio. The existence and construction of stabilisation control in a strong way rely on an invariant that characterises the interrelation of the system matrices.