Adaptive Output Feedback Control for a Class of Uncertain Stochastic Nonlinear Systems With Unknown Time‐Delays. Issue 6 (26th January 2015)

• Record Type: Journal Article
• Authors: Zha, Wenting; Zhai, Junyong; Fei, Shumin
• Is Part Of: Asian journal of control. Volume 17:Issue 6(2015:Nov.)
• Page Start: 2354
• Page End: 2362
• Publication Date: 2015-01-26
• Subjects: Stochastic nonlinear systems -- dynamic scaling -- Lyapunov‐Krasovskii functional -- stochastic Barbalat's lemma; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1101
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper investigates the problem of output feedback control for a class of stochastic nonlinear systems with time‐delays. Using dynamic gain scaling technique, an adaptive update law is introduced to the observer and controller to deal with the unknown parameters. Based on the Lyapunov‐Krasovskii functional and stochastic Barbalat's lemma, it is proved that the proposed universal‐type adaptive output feedback controller can regulate all the states of the closed‐loop system almost surely. A simulation example is presented to illustrate the effectiveness of the proposed design procedure.