Journal ArticleDOI
Design of observers for descriptor systems
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In this note simple and straightforward methods to design full- and reduced-order observers for linear time-invariant descriptor systems are presented.Abstract:
In this note simple and straightforward methods to design full- and reduced-order observers for linear time-invariant descriptor systems are presented. The approach for the reduced-order observer design is based on the generalized Sylvester equation. Sufficient conditions for the existence of the observers are given. An illustrative example is included. >read more
Citations
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Generalized state-space observers for chaotic synchronization and secure communication
TL;DR: A simple and useful technique for both synchronization and secure communication of chaotic systems is developed based on generalized state space observer design for a class of nonlinear systems and shows that asymptotic stability is assured under mild conditions.
Journal ArticleDOI
Design of proportional-integral observer for unknown input descriptor systems
Damien Koenig,Said Mammar +1 more
TL;DR: This note presents simple methods to design full- and reduced- order proportional integral observer for unknown inputs (UI) descriptor systems and achieves a posteriori robustness state and UI estimation versus to time varying parameters and bounded nonlinear UI.
Journal ArticleDOI
Reduced-order observer design for descriptor systems with unknown inputs
TL;DR: A new method for the design of reduced-order observers for descriptor systems with unknown inputs based on the generalized constrained Sylvester equation and sufficient conditions for the existence of the observer are given.
Journal ArticleDOI
Design of observers for TakagiߝSugeno descriptor systems with unknown inputs and application to fault diagnosis
TL;DR: In this paper, a method for state-estimation of Takagi-Sugeno descriptor systems (TSDS) affected by unknown inputs (UI) is presented, where the proposed observers are not in descriptor form but in usual form.
Journal ArticleDOI
Observer design for descriptor systems
M. Hou,P.C. Muller +1 more
TL;DR: Two detectability notions are introduced for the most general class of linear descriptor systems and a unified procedure is provided for the design of observers in both forms.
References
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Journal ArticleDOI
Full-order observers for linear systems with unknown inputs
TL;DR: This note presents a simple method to design a full-order observer for linear systems with unknown inputs and the necessary and sufficient conditions for the existence of the observer are given.
Journal ArticleDOI
Observers for discrete singular systems
TL;DR: In this article, the design of observers for the discrete singular system Ex(k+1)=Ax(k)+Bu(k), y(k)=Cx(k) was considered, placing special emphasis on the problems of state reconstruction and minimal-time state reconstruction.
Journal ArticleDOI
Observers for descriptor systems
M. M. Fahmy,J. O'Reilly +1 more
TL;DR: The design of observers is investigated for the estimation of the descriptor vector x(t) of descriptor systems of the form Ex-t + Bu-t, y-t = Cx(t), and an observer of order (rank — m) is introduced and termed a minimal-order observer.
Journal ArticleDOI
On the design of observers for generalized state space systems using singular value decomposition
TL;DR: In this article, a method is developed for the design of Luenberger-type observers for linear time-invariant control systems whose state equation is of the form Ex= Ax+Bu where E is a singular square matrix.
Journal ArticleDOI
A reduced order observer for descriptor systems
Michel Verhaegen,P. Van Dooren +1 more
TL;DR: A recursive algorithm is presented to construct a reduced order observer for a given observable descriptor system using the staircase form for generalized state space models.