Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls

Julio Solis-Daun; Horacio Leyva

doi:10.1109/MED.2014.6961496

Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls

Departamento de Matemáticas

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

2 Citas (Scopus)

Resumen

Our main aim in this work is to study the problem of the global asymptotic stabilization (GAS) of affine control systems with control value sets (CVS) given by (convex) polytopes U with 0 U, hence allowing 0 in the boundary of U, 0 ∂U, e.g. positive control inputs. Working along the line of Artstein-Sontag's control Lyapunov function (CLF) approach, we study the conditions that feedback controls of the decentralized form u(x) = (u₁. u_m), with Uj(x) = ρ_j(x)ω_j(x), should satisfy in order to be admissible (regular and valued in a CVS U) and render a system GAS, provided an appropriate CLF is known.

Idioma original	Inglés
Título de la publicación alojada	2014 22nd Mediterranean Conference on Control and Automation, MED 2014
Editorial	Institute of Electrical and Electronics Engineers Inc.
Páginas	948-953
Número de páginas	6
ISBN (versión digital)	9781479959006
DOI	https://doi.org/10.1109/MED.2014.6961496
Estado	Publicada - 18 nov. 2014
Evento	22nd Mediterranean Conference on Control and Automation, MED 2014 - Palermo, Italia Duración: 16 jun. 2014 → 19 jun. 2014

Serie de la publicación

Nombre	2014 22nd Mediterranean Conference on Control and Automation, MED 2014

Conferencia

Conferencia	22nd Mediterranean Conference on Control and Automation, MED 2014
País/Territorio	Italia
Ciudad	Palermo
Período	16/06/14 → 19/06/14

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Publisher Copyright:
© 2014 IEEE.

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10.1109/MED.2014.6961496

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Solis-Daun, J., & Leyva, H. (2014). Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls. En 2014 22nd Mediterranean Conference on Control and Automation, MED 2014 (pp. 948-953). Artículo 6961496 (2014 22nd Mediterranean Conference on Control and Automation, MED 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2014.6961496

Solis-Daun, Julio ; Leyva, Horacio. / Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls. 2014 22nd Mediterranean Conference on Control and Automation, MED 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 948-953 (2014 22nd Mediterranean Conference on Control and Automation, MED 2014).

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Solis-Daun, J & Leyva, H 2014, Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls. En 2014 22nd Mediterranean Conference on Control and Automation, MED 2014., 6961496, 2014 22nd Mediterranean Conference on Control and Automation, MED 2014, Institute of Electrical and Electronics Engineers Inc., pp. 948-953, 22nd Mediterranean Conference on Control and Automation, MED 2014, Palermo, Italia, 16/06/14. https://doi.org/10.1109/MED.2014.6961496

Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls. / Solis-Daun, Julio; Leyva, Horacio.
2014 22nd Mediterranean Conference on Control and Automation, MED 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 948-953 6961496 (2014 22nd Mediterranean Conference on Control and Automation, MED 2014).

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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AB - Our main aim in this work is to study the problem of the global asymptotic stabilization (GAS) of affine control systems with control value sets (CVS) given by (convex) polytopes U with 0 U, hence allowing 0 in the boundary of U, 0 ∂U, e.g. positive control inputs. Working along the line of Artstein-Sontag's control Lyapunov function (CLF) approach, we study the conditions that feedback controls of the decentralized form u(x) = (u1. um), with Uj(x) = ρj(x)ωj(x), should satisfy in order to be admissible (regular and valued in a CVS U) and render a system GAS, provided an appropriate CLF is known.

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Solis-Daun J, Leyva H. Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls. En 2014 22nd Mediterranean Conference on Control and Automation, MED 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 948-953. 6961496. (2014 22nd Mediterranean Conference on Control and Automation, MED 2014). doi: 10.1109/MED.2014.6961496

Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls

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