State feedback control for a class of stochastic high-order feedforward nonlinear systems with time-varying delays: a homogeneous domination approach. (December 2014)

• Record Type: Journal Article
• Authors: Jiao, Ticao; Cui, Guozeng; Lu, Junwei; Ma, Qian
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 36:Number 8(2014)
• Page Start: 1041
• Page End: 1050
• Publication Date: 2014-12
• Subjects: Stochastic high-order feedforward nonlinear systems -- state feedback -- backstepping -- homogeneous domination -- time-delay; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331214533000
• Languages: English
• ISSNs: 0142-3312

Abstract

In this paper, the problem of global state feedback stabilization for a class of stochastic high-order feedforward nonlinear systems with different power orders and multiple time delays is investigated. A distinct property of the system to be investigated is that the control coefficients are not restricted to 1. By adding one power integrator technique and homogeneous domination approach, a state feedback controller design is recursively proposed, which ensures the global asymptotical stability in probability of the closed-loop system. Finally, a simulation example is given to illustrate the effectiveness of our results obtained in this paper.