Adaptive finite-time control of a class of Markovian jump nonlinear systems with parametric and dynamic uncertainties. (August 2018)

• Record Type: Journal Article
• Authors: Zhao, Ping; Zhai, Di-Hua; Sun, Yuangong; Li, Yueyang
• Is Part Of: Nonlinear analysis. Volume 29(2018)
• Page Start: 234
• Page End: 246
• Publication Date: 2018-08
• Subjects: Nonlinear system -- Markovian jump system -- Finite-time globally asymptotical stability -- Adaptive control; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.02.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, we investigate the finite-time stabilization of Markovian jump nonlinear systems with parametric and dynamic uncertainties. Firstly, a proper criteria on finite-time globally asymptotical stability in probability (FGSP) and some useful lemmas are introduced. Then, overcoming the common influence of parameter uncertainties and coupled item which determined by Markovian switching, a state-feedback finite-time controller is explicitly constructed by adding a power integrator technique and induction method. It is proven that, the system state of the closed-loop systems is FGSP. Simulation example illustrates the effectiveness of our method.