Abstract:
Due to the use of digital feedback controllers in the control of continuous-time systems, new methods of analysis must be developed in order to study the behaviour of the resulting closed-loop system. These closed-loop systems are hybrid systems in the sense that some of their states evolve in continuous time while others change only in a discrete time set. In this work we study and characterize the exponential stability of the hybrid systems that result from the use of piecewise constant feedback control laws in the control of general nonlinear systems. We apply these results to the problem of stabilization via digital feedback controllers. © 1998 AACC.
Registro:
Documento: |
Conferencia
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Título: | Exponential stability of a certain class of hybrid systems and digital feedback stabilizers |
Autor: | Mancilla-Aguilar, J.L.; García, R.A.; Troparevsky, M.I. |
Ciudad: | Philadelphia, PA |
Filiación: | Departamento de Matemática, Facuitad de Ingenieria, Universidad de Buenos, Aires Paseo Colon 850, (1063), Buenos Aires, Argentina Departamento de Matemática, Facuitad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, (1428), Buenos Aires, Argentina
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Palabras clave: | Digital feedback; Discrete time; General nonlinear systems; Methods of analysis; Piece-wise constants; Closed loop systems; Feedback control; Nonlinear control systems; Hybrid systems |
Año: | 1998
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Volumen: | 2
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Página de inicio: | 713
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Página de fin: | 717
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DOI: |
http://dx.doi.org/10.1109/ACC.1998.703500 |
Título revista: | 1998 American Control Conference, ACC 1998
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Título revista abreviado: | Proc Am Control Conf
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ISSN: | 07431619
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CODEN: | PRACE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07431619_v2_n_p713_MancillaAguilar |
Referencias:
- Francis, B.A., Georgiern, T.T., Stability theory for linear time-invarian plants with periodic digttal controllers (1988) IEEE Trans. Automat. Contr., 33, pp. 820-832
- Mancilla-Aguilar, J.L., Garcia, R.A., Troparevsky, M.I., (1997) Stability of Certain Class of Hybrid Dynamical Systems, , Preprint
- Sontag, E.D., (1990) Mathematical Control Theory. Deterministic Finite Dimensional Systems, , Springer-Verlag, N.Y
- Sontag, E.D., Interconected automata and linear systems: A theoretical framework in discrete-time (1996) Hybrid Systems III: Verification and Control, pp. 436-449. , (Alur, R., T.A. Henzinger and E.D. Sontag, eds.) Springer, N.Y
- Ye, H., Michel, A.N., Antsaklis, P.J., A general model for the qualitative analysis of hybrid dynamical systems (1995) Proceedings of the 34th Conference on Decision & Control, , New Orleans, LA
- Ye, H., Michel, A.N., Hou, L., Stability theory for hybrid dynamical systems (1995) Proceedings of the 34th Conference on Decision & Control, , New Orleans, LA
- Hou, L., Michel, A.N., Analisys of a general class of hybrid dynamical systems (1997) Proceedings of the 1997 American Control Conference, , Albuquerque, NM
- Rui, C., Kolmanovsky, I., McClamroch, N.H., Hybrid control for stabilization of a class of cascade nonlinear systems (1997) Proceedings of the 1997 American Control Conference, , Albuquerque, NMA4 - American Automatic Control Council
Citas:
---------- APA ----------
Mancilla-Aguilar, J.L., García, R.A. & Troparevsky, M.I.
(1998)
. Exponential stability of a certain class of hybrid systems and digital feedback stabilizers. 1998 American Control Conference, ACC 1998, 2, 713-717.
http://dx.doi.org/10.1109/ACC.1998.703500---------- CHICAGO ----------
Mancilla-Aguilar, J.L., García, R.A., Troparevsky, M.I.
"Exponential stability of a certain class of hybrid systems and digital feedback stabilizers"
. 1998 American Control Conference, ACC 1998 2
(1998) : 713-717.
http://dx.doi.org/10.1109/ACC.1998.703500---------- MLA ----------
Mancilla-Aguilar, J.L., García, R.A., Troparevsky, M.I.
"Exponential stability of a certain class of hybrid systems and digital feedback stabilizers"
. 1998 American Control Conference, ACC 1998, vol. 2, 1998, pp. 713-717.
http://dx.doi.org/10.1109/ACC.1998.703500---------- VANCOUVER ----------
Mancilla-Aguilar, J.L., García, R.A., Troparevsky, M.I. Exponential stability of a certain class of hybrid systems and digital feedback stabilizers. Proc Am Control Conf. 1998;2:713-717.
http://dx.doi.org/10.1109/ACC.1998.703500