TY - GEN
T1 - On the global CLF stabilization of systems with polytopic control value sets
AU - Solís-Daun, Julio
AU - Leyva, Horacio
PY - 2011
Y1 - 2011
N2 - Our main purpose in this paper is to address the problem of the global asymptotic stabilization of affine systems with control value sets given by polytopes U with 0 ∈ intU. An important polytope is the m-dimensional hyperbox U = [-r1-, r1+]×... × [-rm-, rm+], with r j± > 0. Working along the line of Artstein-Sontag's control Lyapunov function (CLF) approach, we study the conditions that a feedback control of the form u(x) = (u1,..., u m), with uj(x) = ρj(x) ω̄ j(x), should satisfy in order to be admissible (continuous and taking its values in a polytope U) and globally asymptotically stabilize a system, provided an appropriate CLF is known.
AB - Our main purpose in this paper is to address the problem of the global asymptotic stabilization of affine systems with control value sets given by polytopes U with 0 ∈ intU. An important polytope is the m-dimensional hyperbox U = [-r1-, r1+]×... × [-rm-, rm+], with r j± > 0. Working along the line of Artstein-Sontag's control Lyapunov function (CLF) approach, we study the conditions that a feedback control of the form u(x) = (u1,..., u m), with uj(x) = ρj(x) ω̄ j(x), should satisfy in order to be admissible (continuous and taking its values in a polytope U) and globally asymptotically stabilize a system, provided an appropriate CLF is known.
KW - Constrained control
KW - Control Lyapunov function
KW - Convex theory
KW - Global stabilization
KW - Nonlinear system
UR - http://www.scopus.com/inward/record.url?scp=84866771112&partnerID=8YFLogxK
U2 - 10.3182/20110828-6-IT-1002.02032
DO - 10.3182/20110828-6-IT-1002.02032
M3 - Contribución a la conferencia
AN - SCOPUS:84866771112
SN - 9783902661937
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 11042
EP - 11047
BT - Proceedings of the 18th IFAC World Congress
PB - IFAC Secretariat
ER -