Adaptive partial-state feedback control for stochastic high-order nonlinear systems with stochastic input-to-state stable inverse dynamics. (January 2015)

• Record Type: Journal Article
• Authors: Liu, Liang; Yin, Shen; Gao, Huijun; Alsaadi, Fuad; Hayat, Tasawar
• Is Part Of: Automatica. Volume 51(2015)
• Page Start: 285
• Page End: 291
• Publication Date: 2015-01
• Subjects: Stochastic high-order nonlinear systems -- Adaptive partial-state feedback -- Changing supply function -- Parameter separation technique; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2014.10.094
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper aims to solve the adaptive stabilization problem for a class of stochastic high-order nonlinear systems with stochastic inverse dynamics and nonlinear parameterization. Under the weaker assumptions on stochastic inverse dynamic and nonlinear functions, by generalizing the adding a power integrator technique, using the idea of changing supply function and parameter separation technique, a smooth adaptive partial-state feedback controller is constructed to render the closed-loop system globally stable in probability and all states can be regulated to the origin almost surely. The effectiveness of the designed controller is demonstrated by a simulation example.