Probabilistic ultimate bounds and invariant sets in nonlinear systems. (November 2021)

• Record Type: Journal Article
• Authors: Pizzi, Noelia; Kofman, Ernesto; Marelli, Damián Edgardo; Doná, José Adrian De; Seron, Maria M.
• Is Part Of: Automatica. Volume 133(2021)
• Publication Date: 2021-11
• Subjects: Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109853
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This article extends the notions of probabilistic ultimate bounds (PUB) and probabilistic invariant sets (PIS) to nonlinear continuous-time systems providing tools for their characterization and for the usage of these concepts in control design. Two design strategies are proposed that allow finding a nonlinear control law which ensures that the closed loop system is probabilistically ultimate bounded to a desired region. These strategies are based on Lyapunov and stochastic feedback linearization, respectively.