Stabilization of a class of stochastic nonlinear systems using a bang‐bang controller. (9th May 2022)

• Record Type: Journal Article
• Authors: Barbata, Asma; Zasadzinski, Michel; Souley Ali, Harouna
• Is Part Of: International journal of robust and nonlinear control. Volume 32:Number 12(2022)
• Page Start: 6849
• Page End: 6865
• Publication Date: 2022-05-09
• Subjects: almost sure exponential stability -- bang‐bang control -- linear matrix inequalities (LMIs) -- observer‐based control -- stochastic differential equation; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.6175
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: In this article, a bang‐bang control strategy is proposed to almost surely exponentially stabilize a class of nonlinear stochastic systems driven by multiplicative noises. Two cases are considered: first, a state feedback control if the whole state is measured and, second, an observer‐based feedback control if the state is partially measured.