Control of DAE Systems with Disturbance Inputs

Author(s):  
Aditya Kumar ◽  
Prodromos Daoutidis
Keyword(s):  
2021 ◽  
Vol 66 (1) ◽  
pp. 261-266
Author(s):  
Marco Aurelio Aguiar ◽  
Eduardo Camponogara ◽  
Bjarne Foss

2004 ◽  
Vol 37 (13) ◽  
pp. 1229-1234 ◽  
Author(s):  
C. Morvan ◽  
H. Cormerais ◽  
P.Y. Richard ◽  
J. Buisson

2002 ◽  
Vol 35 (1) ◽  
pp. 447-452
Author(s):  
Marie-Nathalie Contou-Carrere ◽  
Prodromos Daoutidis

Author(s):  
M Sahadet Hossain ◽  
M Mostafizur Rahman

Differential-algebraic equations (DAEs) arise in a variety of applications. Their analysis and numerical treatment, therefore, plays an important role in modern mathematics. The paper gives an introduction to the topics of DAEs. Examples of DAEs are considered showing their importance for practical problems. Some essential concepts that are really essential for understanding the DAE systems are introduced. The canonical forms of DAEs are discussed widely to make them more efficient and easy for practical use. Also some numerical examples are discussed to clarify the existence and uniqueness of the system's solutions. Keywords: differential-algebraic equations, index concept, canonical forms. DOI: 10.3329/diujst.v4i2.4365 Daffodil International University Journal of Science and Technology Vol.4(2) 2009 pp.28-35


2018 ◽  
Vol 36 (4) ◽  
pp. 1375-1393 ◽  
Author(s):  
Thomas Berger ◽  
Timo Reis

Abstract We consider linear time-invariant differential-algebraic systems which are not necessarily regular. The following question is addressed: when does an (asymptotic) observer which is realized by an ordinary differential equation (ODE) system exist? In our main result we characterize the existence of such observers by means of a simple criterion on the system matrices. To be specific, we show that an ODE observer exists if, and only if, the completely controllable part of the system is impulse observable. Extending the observer design from earlier works we provide a procedure for the construction of (asymptotic) ODE observers.


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