HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

A family of piecewise affine control Lyapunov functions

Abstract : This paper presents a novel method to construct a family of piecewise affine control Lyapunov functions. Unlike most of existing methods which require the contractivity of their domain of definition, the proposed control Lyapunov functions are defined over a so-called N −step controllable set, which is known not to be contractive. Accordingly, a robust control design procedure is presented which only requires solving a linear programming problem at each sampling time. The construction is finally illustrated via a numerical example.
Document type :
Journal articles
Complete list of metadata

Contributor : Ngoc Anh Nguyen Connect in order to contact the contributor
Submitted on : Wednesday, January 24, 2018 - 7:48:55 PM
Last modification on : Tuesday, January 4, 2022 - 5:03:48 AM
Long-term archiving on: : Thursday, May 24, 2018 - 8:24:51 PM


Control Lyapunov function.pdf
Files produced by the author(s)



Ngoc Anh Nguyen, Sorin Olaru. A family of piecewise affine control Lyapunov functions. Automatica, Elsevier, 2018, 90, pp.212-219. ⟨10.1016/j.automatica.2017.12.052⟩. ⟨hal-01692257⟩



Record views


Files downloads