Adaptive State-feedback Stabilization for More General High-order Stochastic Nonlinear Systems

✍ Scribed by Jie TIAN; Xue-Jun XIE

• Publisher: Elsevier
• Year: 2008
• Weight: 227 KB
• Volume: 34
• Category: Article
• ISSN: 1874-1029
• DOI: 10.1016/s1874-1029(08)60052-x

✦ Synopsis

An adaptive state-feedback stabilization is investigated for a class of high-order stochastic nonlinear systems in which the upper bound of the function fi(•) depends on the state xi+1 besides the states x1, • • • , xi and z z z. A smooth adaptive state-feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution, and the equilibrium is globally stable in probability. A numerical simulation example is given to show the systematic design and the effectiveness of controller.