Global clf stabilization of systems with control inputs constrained to a hyperbox

Horacio Leyva, Julio Solís-Daun, Rodolfo Suárez

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

14 Citas (Scopus)

Resumen

Our main purpose in this paper is to address the problem of synthesis of regular feedback controls for the global asymptotic stabilization (gas) of nonlinear systems with controls taking values in the m-dimensional r-weighted hyperbox B rm (∞) := [-r1-, r 1+ ] × ⋯ × [-r m, - r m+]. Working along the line of Artstein and Sontag's control Lyapunov function (clf) approach, we study the conditions for the gas of affine systems provided an appropriate clf is known, and propose an explicit formula for a one-parameterized family of bounded regular feedback global stabilizers. The case of scalar bounded positive feedback controls (r- = 0) is also included. Finally, the problem of designing a marginally robust control function is addressed. © 2013 Society for Industrial and Applied Mathematics.
Idioma originalInglés estadounidense
Páginas (desde-hasta)745-766
Número de páginas22
PublicaciónSIAM Journal on Control and Optimization
DOI
EstadoPublicada - 17 abr 2013

Huella

Profundice en los temas de investigación de 'Global clf stabilization of systems with control inputs constrained to a hyperbox'. En conjunto forman una huella única.

Citar esto