Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers. (November 2016)

• Record Type: Journal Article
• Authors: Huang, Shipei; Xiang, Zhengrong
• Is Part Of: Automatica. Volume 73(2016)
• Page Start: 130
• Page End: 137
• Publication Date: 2016-11
• Subjects: Finite-time stability -- Stochastic systems -- Switched systems -- Nonlinear systems -- State feedback; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.06.023
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper investigates the finite-time stabilization of a class of switched stochastic nonlinear systems in p -normal form, where the power orders of the system are dependent upon the switching signal and the system structure is in non-triangular form. Compared with the existing results, some power orders of the system are allowed to be even. Under suitable assumptions, a state feedback control law with state-dependent switching is designed by using the convex combination method and the adding a power integrator technique. It is shown that the resulting closed-loop system is finite-time stable in probability. Simulation results of a continuously stirred tank reactor (CSTR) system are provided to show the effectiveness and applicability of the proposed method.