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Zbl 1157.93538
Liu, Yun-Gang; Zhang, J.-F.Ji-Feng
Reduced-order observer-based control design for nonlinear stochastic systems. (English)
[J] Syst. Control Lett. 52, No. 2, 123-135 (2004). ISSN 0167-6911

Summary: 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.

MSC 2000:: *93E15 Stochastic stability
60H10 Stochastic ordinary differential equations
93D15 Stabilization of systems by feedback
93D25 Input-output approaches to stability of control systems

Keywords: Nonlinear system; Stochastic system; Reduced-order observer; Integrator backstepping; Stabilization control

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Zentralblatt MATH Berlin [Germany]