scholarly journals Interval observer design for estimation and control of time-delay descriptor systems

2015 ◽  
Vol 23 ◽  
pp. 26-35 ◽  
Author(s):  
Denis Efimov ◽  
Andrey Polyakov ◽  
Jean-Pierre Richard
Keyword(s):  
Time Delay ◽  
Observer Design ◽  
Descriptor Systems ◽  
Estimation And Control ◽  
Interval Observer ◽  
And Control

scholarly journals Interval Observer Design for One Class of Uncertain Linear Strictly Metzlerian Time-Delay Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Dušan Krokavec ◽  
Anna Filasová
Keyword(s):  
Time Delay ◽  
Initial Conditions ◽  
Observer Design ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
System Matrix ◽  
Output Matrix ◽  
System States ◽  
Interval Observer

The paper is concerned with design requirements when the problem of nonnegative state estimation for one class of uncertain linear Metzlerian time-delay systems with constant delays is tackled, while system states take nonnegative values whenever the initial conditions are nonnegative, the upper and lower system matrix bounds are strictly Metzler matrices, and the upper and lower output matrix bounds are nonnegative matrices. By defining positive definite diagonal matrix variables and introducing an associate structure of linear matrix inequalities, the design conditions are proven, guaranteeing if they are feasible, the resulting observer gain matrix is positive and the reflected observer system matrices are strictly Metzler and Hurwitz. A numerical example illustrates the solvability of the proposed design conditions.

scholarly journals Interval observer design and control of uncertain non-homogeneous heat equations

Automatica ◽  
2020 ◽  
Vol 111 ◽  
pp. 108595 ◽  
Author(s):  
Tatiana Kharkovskaia ◽  
Denis Efimov ◽  
Emilia Fridman ◽  
Andrey Polyakov ◽  
Jean-Pierre Richard
Keyword(s):  
Observer Design ◽  
Heat Equations ◽  
Interval Observer ◽  
And Control
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