Proportional multiple-integral observer design for continuous-time descriptor linear systems

2010 ◽  
Vol 14 (2) ◽  
pp. 476-488 ◽  
Author(s):  
Ai-Guo Wu ◽  
Guang-Ren Duan ◽  
Wanquan Liu
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Multiple Integral ◽  
Observer Design ◽  
Descriptor Linear Systems

Positivity of descriptor linear systems with regular pencils

2012 ◽  
Vol 61 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Positive Systems ◽  
Electrical Circuits ◽  
Numerical Examples ◽  
Standard Linear ◽  
Descriptor Linear Systems ◽  
The Relationship ◽  
Equivalent Conditions ◽  
Time Linear

Positivity of descriptor linear systems with regular pencilsThe positivity of descriptor continuous-time and discrete-time linear systems with regular pencils are addressed. Such systems can be reduced to standard linear systems and can be decomposed into dynamical and static parts. Two definitions of the positive systems are proposed. It is shown that the definitions are not equivalent. Conditions for the positivity of the systems and the relationship between two classes of positive systems are established. The considerations are illustrated by examples of electrical circuits and numerical examples.

scholarly journals Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm

2011 ◽  
Vol 21 (3) ◽  
pp. 287-298 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Equivalent Form ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Descriptor Systems ◽  
State Equations ◽  
Necessary And Sufficient ◽  
Descriptor Linear Systems ◽  
Time Linear

Checking of the positivity of descriptor linear systems by the use of the shuffle algorithmNecessary and sufficient conditions for the positivity of descriptor continuous-time and discrete-time linear systems are established. The shuffle algorithm is applied to transform the state equations of the descriptor systems to their equivalent form for which necessary and sufficient conditions for their positivity have been derived. A procedure for checking the positivity of the descriptor systems is proposed and illustrated by numerical examples.

Observability and Observer Design for Continuous-Time Perturbed Switched Linear Systems under Unknown Switchings

2015 ◽  
Vol 19 (4) ◽  
Author(s):  
David Gomez ◽  
Antonio Ramírez ◽  
Stefano Di Gennaro ◽  
Carlos Renato Vázquez
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Observer Design ◽  
Switched Linear Systems
Sign in / Sign up

Export Citation Format

Share Document