Open AccessRobust finite‐time stability and stabilisation for switched linear parameter‐varying systems and its application to bank‐to‐turn missiles
Author(s) -
Liu Yifan,
Yang Jianying,
Li Chunzhi
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.2015.0066
Subject(s) - control theory (sociology) , affine transformation , linear matrix inequality , stability (learning theory) , controller (irrigation) , lyapunov function , robust control , linear system , mathematics , piecewise linear function , piecewise , function (biology) , computer science , mathematical optimization , nonlinear system , control system , engineering , control (management) , biology , mathematical analysis , physics , artificial intelligence , machine learning , geometry , electrical engineering , quantum mechanics , evolutionary biology , pure mathematics , agronomy
Finite‐time stability analysis and controller synthesis for switched linear parameter‐varying (LPV) systems are discussed in this paper. A new finite‐time stability condition and robust finite‐time controller design method are presented for switched LPV systems with two different structured uncertainty modelling assumptions (i.e. affine linear structured uncertainty or polytopic structured uncertainty). On the one hand, by using the piecewise parameter‐dependent Lyapunov‐like function, a less conservativeness finite‐time stability condition is established. On the other hand, the new condition based on linear matrix inequalities relieves the controller design burden of dealing with specific applications. Finally, the provided design method is highly desirable to treat the problem of attitude control of bank‐to‐turn missiles with different channels coupling, and computer simulations demonstrate the effectiveness and superiority of the theoretical results.