Non-linear observer design for one-sided Lipschitz systems: an linear matrix inequality approach

2012 ◽  
Vol 6 (9) ◽  
pp. 1297 ◽  
Author(s):  
W. Zhang ◽  
H.-S. Su ◽  
Y. Liang ◽  
Z.-Z. Han
Keyword(s):  
Linear Matrix Inequality ◽  
Observer Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Non Linear ◽  
Linear Observer ◽  
Linear Matrix Inequality Approach ◽  
Lipschitz Systems

scholarly journals Robust Observer Design for Switched Positive Linear System with Uncertainties

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yanke Zhong ◽  
Tefang Chen
Keyword(s):  
Linear System ◽  
Linear Matrix Inequality ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Observer Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Robust Observer ◽  
Slack Variable

This paper is concerned with the design of a robust observer for the switched positive linear system with uncertainties. Sufficient conditions of building a robust observer are established by using the multiple copositive Lyapunov-krasovskii function and the average dwell time approach. By introducing an auxiliary slack variable, these sufficient conditions are transformed into LMI (linear matrix inequality). A numerical example is given to illustrate the validities of obtained results.

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