Impulsive observer‐based stabilisation of uncertain linear systems
Open Access
- 1 February 2014
- journal article
- research article
- Published by Institution of Engineering and Technology (IET) in IET Control Theory & Applications
- Vol. 8 (3) , 149-159
Abstract
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.Keywords
Funding Information
- National Natural Science Foundation of China (61164016)
- Natural Science Foundation of Guangxi Province (2011GXNSFA018141, 2013GXNSFDA019003)
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