Suarez, Jesus Alberto | Instituto Politecnico Nacional |
Bejarano, Francisco Javier | Instituto Politecnico Nacional |
https://doi.org/10.58571/CNCA.AMCA.2023.043
Resumen: This paper investigates an unknown input observer for time delay systems in the strong observable and strong detectable cases. Conditions are derived to transform the system into an observer normal form and to decouple the unknown inputs. This decoupling allows us to use the measurements obtained at the output of the system to compensate for the missing information. These conditions enable the design of a Luenberger-like observer for systems that are strongly observable and to generalize to the case of strongly detectable systems, thereby relaxing the conditions for this type of system.
¿Cómo citar?
Suarez, Jesus Alberto; Bejarano, Francisco Javier. Design of an observer for detectable systems with time-delay and unknown inputs. Memorias del Congreso Nacional de Control Automático, pp. 394-399, 2023. https://doi.org/10.58571/CNCA.AMCA.2023.043
Palabras clave
Control de Sistemas Lineales
Referencias
- Adkins WA. and Weintraub SH. (1999) , Algebra, an approach via module theory, corr. 2nd printing.
- Bhaskara Rao KPS, (2002) Theory of generalized inverses over commutative rings, vol. 17, CRC Press.
- Bejarano F. J. and Zheng G. (2014) Observability of linear systems with commensurate delays and unknown inputs, Automatica, vol. 50, no. 8, pp. 2077-
- Bejarano F. J. (2015) Detectability of linear systems over a principal ideal domain with unknown inputs, Systems Control Letters, vol. 78, pp. 1-7.
- Bejarano F. J. (2021) Zero dynamics normal form and disturbance decoupling of commensurate and distributed time-delay systems, Automatica, vol. 129, pp. 109634.
- Brown, W.C., (1993) Matrices Over Commutative Rings. Pure and Applied Mathematics, Marcel Dekker, Inc, New York, Basel, Hong Kong.
- Hou M. and Muller P. C. (1992) Design of observers for linear systems with unknown inputs, IEEE Transactions on automatic control, vol. 37, no. 6, pp. 871-
- Kailath T. (1980) Linear systems, vol. 156, Prentice-Hall Englewood Cliffs, NJ.
- Salamon D., (1980) Observers and duality between observation and state feedback for time delay systems, IEEE Transactions on Automatic Control, vol. 25, no.6, pp. 1187-
- Perdon, A.M., Anderlucci, M., (2010) Disturbance decoupling problem for a class of descriptor systems with delay via systems over rings, IMA Journal fo Mathematical Control and Information 27.
- Lee EB and Olbrot A, (1981) Observability and related structural results for linear hereditary systems, International Journal of Control, vol. 34, no. 6, pp.1061-1078, 1981.
- Zheng et al. (2015), Unknown input observer for linear time-delay systems, Automatica, vol. 61, pp. 35-43.