Summary
The problems of constructing observers in the presence of unknown inputs and of detecting and recognizing inputs of a special kind are considered for linear time delay systems with commensurable delays. Both problems are studied from an algebraic and geometric point of view, making use of models with coefficients in a ring, of invariant subspaces of the space module and of suitable canonical decomposition into subsystems. Feasible and constructive procedures for the analysis and solution of the problems are presented.
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References
Assan J (1999) Analyse et synthèse de l’approche géométrique pour les systèmes linéaires su un anneau, Thèse de Doctorat, Université de Nantes
Assan J, Lafay JF, Perdon AM (2002) Feedback invariance and injection invariance for systems over rings, Proc. 15th IFAC World Congress, Barcelona, Spain
Assan J, Lafay JF, Perdon AM, Loiseau JJ (1999) Effective computation of maximal controlled invariant submodules over a Principal Ring, Proc. 38th IEEE CDC, Phoenix, AZ, 4216–4221
G. Basile, G. Marro (1992) Controlled and conditioned invariants in linear system theory, Prentice-Hall, Upper Saddle River, NJ
Conte G, Perdon AM (1982) Systems over a principal ideal domain. A polynomial model approach, SIAM Journal on Control and Optimization 20(1):112–124
Conte G, Perdon AM (1997) Noninteracting control problems for delay-differential systems via systems over rings, European Journal of Automation 31(6):1059–1076
Conte G, Perdon AM (2000) Systems over rings: geometric theory and applications Annual Reviews in Control 24(1):113–124
Conte G, Perdon AM (2003) The fundamental problem of residual generation linear time delay systems, IFAC workshop on Time Delay Systems, Rocquencourt, France
Conte G, Perdon AM, Guidone-Peroli G (2003) Unknown input observers for linear delay systems: a geometric approach, Proc. 42nd IEEE CDC, Maui, HI
Conte G, Perdon AM, Neri F (2001) Remarks and results about the finite spectrum assignment problem, Proc. 40th IEEE CDC, Orlando, FL
Sename O, Fattouh A, Dion JM (2001) Further results on unknown input observers design for time-delay systems, Proc. 40th IEEE CDC, Orlando, FL
Kamen EW (1991) Linear system over rings: from R. E. Kalman to the present, Mathematical System Theory-The Influence of R. E. Kalman, Springer-Verlag, Berlin
Ito N, Schmale W, Wimmer HK (2000) (C,A)-invariance of modules over principal ideal domains, SIAM Journal on Control and Optimization 38(6):1859–1873
Lang S (1984) Algebra, Addison-Wesley, Reading, MA
Massoumnia MA (1986) A geometric approach to the synthesis of failure detection filters, IEEE Trans. Automatic Control, 34:316–321
Proc. of the 1st IFAC Workshop on Linear Time Delay Systems (1998) Grenoble, France
Proc. of the 2nd IFAC Workshop on Linear Time Delay Systems (2000) Ancona, Italy
Proc. of the 3rd IFAC Workshop on Linear Time Delay Systems (2001) Albuquerque, NM
Proc. of the 4th IFAC Workshop on Linear Time Delay Systems (2003) Rocquencourt, France
Patton RJ, Frank PM, Clark RN (2000) Issues of fault diagnosis for dynamical systems, Springer-Verlag, New York
Picard P (1996) Sur l—observabilité et la commande des systèmes linéairesà retards modélisés sur un anneau, Thése de Doctorat, Université de Nantes
Sename O, Lafay JF (1996) A new result on coefficient assignment for linear multivariable systems with delays, Proc. 35th IEEE CDC, New Orleans, LA
Szabó Z, Bokor J, Balasy G (2002) Detection filter design for LPV systems-A geometric approach, 15th IFAC Triennial World Congress, Barcelona, Spain
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Conte, G., Perdon, A.M. (2006). Unknown Input Observers and Residual Generators for Linear Time Delay Systems. In: Menini, L., Zaccarian, L., Abdallah, C.T. (eds) Current Trends in Nonlinear Systems and Control. Systems and Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4470-9_2
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DOI: https://doi.org/10.1007/0-8176-4470-9_2
Publisher Name: Birkhäuser Boston
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