Global Adaptive Control of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States by Output Feedback. (17th April 2012)

• Record Type: Journal Article
• Authors: Wang, Qiangde; Wei, Chunling
• Other Names: Martinez-Guerra Rafael Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-04-17
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/184624
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The problem of the output feedback stochastic stabilization is investigated for a class of stochastic nonlinear systems with linearly bounded unmeasurable states. Under the condition that the inverse dynamics is stochastic input-to-state stable and the nonlinear functions satisfy the linear growth conditions with unknown growth rate, an adaptive output feedback controller is proposed to make the closed-loop system globally stable in probability and the states of the closed-loop system converge to zero almost surely. A simulation example is provided to show the effectiveness of the theoretical results.