Reduced-order observer-based control design for nonlinear stochastic systems

In this paper, we investigate the stabilization control design problem of nonlinear stochastic SISO systems in strict-feedback form. By introducing a novel reduced-order observer, an output-feedback-based control is constructively designed, which renders the closed-loop system asymptotically stable...

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Bibliographic Details
Published in:Systems & control letters 2004-06, Vol.52 (2), p.123-135
Main Authors: Liu, Yun-Gang, Zhang, Ji-Feng
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Integrator backstepping
Nonlinear system
Reduced-order observer
Stabilization control
Stochastic system
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Summary:In this paper, we investigate the stabilization control design problem of nonlinear stochastic SISO systems in strict-feedback form. By introducing a novel reduced-order observer, an output-feedback-based control is constructively designed, which renders the closed-loop system asymptotically stable in the large when the nonlinearities and stochastic disturbance equal zero at the equilibrium point of the open-loop system, and bounded in probability, otherwise. Besides, the obtained controller preserves the equilibrium point of the open-loop nonlinear system.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2003.11.006