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Reduced-order observer-based control design for nonlinear stochastic systems. (English) Zbl 1157.93538
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:
93E15Stochastic stability
60H10Stochastic ordinary differential equations
93D15Stabilization of systems by feedback
93D25Input-output approaches to stability of control systems