H∞ observer design for a class of nonlinear singular stochastic systems. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Barbata, Asma; Zasadzinski, Michel; Ali, Harouna Souley
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 3885
• Page End: 3892
• Publication Date: 2017-07
• Subjects: Mean square exponential stability -- stochastic algebraic differential equation -- nonlinear singular stochastic systems -- mean square exponential observer -- H∞ observer.; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.360
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper is about the H ∞ observer design for a class of nonlinear singular stochastic systems. The system is first transformed such that the observation error can be written in a regular form and the augmented system is admissible. The use of Sylvester-like equations on the error dynamics permits to parameterize all the filter matrices via a single gain matrix. Then an affine change of coordinate is done on the control inputs to transform the problem into a singular robust stochastic nonlinear problem which is solved using a Lyapunov approach. Finally the mean square exponential stability (MSES) of the error's system and the H ∞ disturbance attenuation are ensured by the observer designed via the resolution of a LMI which permits to get the gain matrix used to construct the filter matrices.