H∞filter design for linear time-invariant systems with polytopic uncertainties in finite frequency domain

2016 ◽  
Vol 38 (4) ◽  
pp. 520-540 ◽  
Author(s):  
D. El Hellani ◽  
A. El Hajjaji ◽  
R. Ceschi
Keyword(s):  
Frequency Domain ◽  
Filter Design ◽  
Linear Time ◽  
Finite Frequency ◽  
Linear Time Invariant ◽  
Polytopic Uncertainties ◽  
Linear Time Invariant Systems ◽  
Time Invariant

scholarly journals On Switched Control Design of Linear Time-Invariant Systems with Polytopic Uncertainties

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Wallysonn A. de Souza ◽  
Marcelo C. M. Teixeira ◽  
Máira P. A. Santim ◽  
Rodrigo Cardim ◽  
Edvaldo Assunção
Keyword(s):  
Lyapunov Function ◽  
Linear Time ◽  
Time Derivative ◽  
Control Design ◽  
Feedback Gain ◽  
Linear Time Invariant ◽  
Switched Control ◽  
Polytopic Uncertainties ◽  
Linear Time Invariant Systems ◽  
Time Invariant

This paper proposes a new switched control design method for some classes of linear time-invariant systems with polytopic uncertainties. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology offers less conservative alternative than the well-known controller for uncertain systems with only one state feedback gain. The control design of a magnetic levitator illustrates the procedure.

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