Direct Adaptive Fuzzy Backstepping Control for Stochastic Nonlinear SISO Systems with Unmodeled Dynamics. Issue 2 (24th August 2017)

• Record Type: Journal Article
• Authors: Zhang, Xiumei; Liu, Xikui; Li, Yan
• Is Part Of: Asian journal of control. Volume 20:Issue 2(2018)
• Page Start: 839
• Page End: 855
• Publication Date: 2017-08-24
• Subjects: Adaptive fuzzy control -- backstepping technique -- stochastic small‐gain approach -- stochastic nonlinear systems; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1615
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper discusses the input‐to‐state practical stability (ISpS) problem for a class of stochastic strict‐feedback systems which possess dynamic disturbances, unstructured uncertainties and unmodeled dynamics. The uncertain terms not only depend on the measurable output, but also are related with other unmeasurable states of the system. In the backstepping design, we use fuzzy logic systems directly to approach unknown control signals rather than unknown functions. A main advantage of the direct control method is that for an n th order strict‐feedback stochastic system, only four online parameters are needed. Moreover, it is proved that the closed‐loop system is ISpS in probability by using a stochastic small‐gain approach. Two simulation examples illustrate the effectiveness of the proposed scheme.