Open AccessComments on ‘State feedback H ∞ control design of continuous‐time switched affine systems’
Author(s) -
Scharlau César C.,
Dezuo Tiago J.M.,
Trofino Alexandre
Publication year - 2017
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.2016.1259
Subject(s) - control theory (sociology) , affine transformation , lyapunov function , quadratic equation , stability (learning theory) , mathematics , state (computer science) , lyapunov redesign , control lyapunov function , function (biology) , control (management) , computer science , algorithm , nonlinear system , artificial intelligence , pure mathematics , physics , geometry , quantum mechanics , machine learning , evolutionary biology , biology
This note presents important aspects that should be taken into account in the comparative study on stability conditions of switched affine systems withH∞performance presented in the aforementioned paper. Using a numerical example, it is demonstrated that stability conditions for switched affine systems obtained from a max‐type composition to define both the Lyapunov function and switching rule are not necessarily more conservative than the ones obtained from a quadratic Lyapunov function and a min‐type composition to define the switching rule.