Open AccessImpulsive observer‐based stabilisation of uncertain linear systems
Author(s) -
Chen WuHua,
Yang Wu,
Lu Xiaomei
Publication year - 2014
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.2012.0998
Subject(s) - control theory (sociology) , observer (physics) , lyapunov function , linear matrix inequality , mathematics , convex optimization , controller (irrigation) , linear system , convex combination , regular polygon , computer science , control (management) , mathematical optimization , nonlinear system , mathematical analysis , physics , geometry , quantum mechanics , artificial intelligence , agronomy , biology
This study considers impulsive observer‐based control of uncertain linear systems. A novel time‐varying Lyapunov function is introduced to explore the hybrid characteristic of the impulsive observed‐based control systems. By applying the time‐varying Lyapunov function method combined with convex combination technique, sufficient conditions for the existence of the impulsive observer‐based controller is derived in terms of linear matrix inequalities (LMIs). The control and observer gains can be obtained from the feasible solutions of the newly‐obtained LMI‐based conditions. Two numerical examples are presented to show the efficiency of the proposed design method.