DOI: 10.3724/SP.J.1004.2010.00858

Acta Automatica Sinica (自动化学报) 2010/36:6 PP.858-864

Output-feedback Stabilization for Stochastic High-order Nonlinear Systems with a Ratio of Odd Integers Power

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 extending the 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.

Key words:Stochastic high-order nonlinear systems, a ratio of odd integers power, output-feedback control, inverse optimal stabilization

ReleaseDate:2014-07-21 15:24:06

Funds:Supported by National Natural Science Foundation of China (60774010, 10971256), Natural Science Foundation of Jiangsu Province (BK2009083), Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province (07KJB510114), and Shandong Provincial Natural Science Foundation of China (ZR2009GM008, ZR2009AL014)

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