Output-feedback stabilization for stochastic high-order nonlinear systems with a ratio of odd integers power. (English) Zbl 1240.93351

Liu, Liang; Duan, Na; Xie, Xuejun

Acta Autom. Sin. 36, No. 6, 858-864 (2010).

Summary: This paper investigates the problem of output-feedback control for a class of stochastic high-order nonlinear systems with a ratio of odd integers power. By adding a power integrator technique, introducing a new rescaling transformation, and choosing an appropriate Lyapunov function, an output-feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Furthermore, we address the problem of inverse optimal stabilization in probability. A simulation example is provided to show the effectiveness of the design.

MSC:

93E15	Stochastic stability in control theory
93D15	Stabilization of systems by feedback
93C10	Nonlinear systems in control theory
93B52	Feedback control

Keywords:

stochastic high-order nonlinear systems; output-feedback control; inverse optimal stabilization