Residual generator design for singular bilinear systems subjected to unmeasurable disturbances: An LMI approach

Automatica

Volumn 39, Issue 4, 2003, Pages 703-713

  Zasadzinski, Michel ^a   Magarotto, Eric ^b   Rafaralahy, Hugues ^a   Souley Ali, Harouna ^a  

^a CENTRE DE RECHERCHE EN AUTOMATIQUE DE NANCY   (France)

^b UNIVERSITÉ DE CAEN   (France)

Author keywords

Exponential stability; Linear matrix inequality; Singular bilinear system; Unknown input residual generator

Indexed keywords

AUTOMATIC PROGRAMMING; COMPUTATIONAL METHODS; LINEAR SYSTEMS; LOGIC DESIGN; MATHEMATICAL MODELS;

RESIDUAL GENERATOR DESIGN;

CONTROL SYSTEMS;

EID: 0037399907     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(02)00301-1     Document Type: Article

References (7)

1. Bornard, G., Couenne, N., & Celle, F. (1988). Regularly persistent observers for bilinear systems. In J. Descusse, M. Fliess, A. Isidori, D. Leborgne (Eds.), New trends in nonlinear control theory, Lecture Notes in Control and Information Sciences, Vol. 122. Springer: Berlin, pp. 130-140.
2. Boyd S., El Ghaoui L., Féron E., Balakrishnan V. Linear matrix inequality in systems and control theory. 1994;SIAM, Philadelphia, PA.
3. Frank, P. (1993). Advances in observer-based fault diagnosis. In Proceedings of the International Conference on Fault Diagnosis TOOLDIAG, Toulouse, France.
4. Kinnaert M. Robust fault detection based on observers for bilinear systems. Automatica. 35:1999;1829-1842.
5. Kinnaert, M., Peng, Y., & Hammouri, H. (1995). The fundamental problem of residual generation for bilinear systems up to output injection. In Proceedings of the European control conference, Rome, Italy.
6. Koning R., Neudecker H., Wansbeek T. Block Kronecker products and the vecb operator. Linear Algebra and its Applications. 149:1991;165-184.
7. Yu D., Shields D.N. A bilinear fault detection observer. Automatica. 32:1996;1597-1602