Observer-based stabilization of sector-bounded nonlinear stochastic systems in the presence of intermittent measurements

Abstract This paper focuses on the stabilization problem of sector-bounded stochastic nonlinear systems, in which the measured output can be only intermittently available. An intermittent observer is constructed to estimate the unmeasurable states. By employing a piecewise time-dependent Lyapunov function method, mean square exponential stability and almost sure exponential stability criteria are established in terms of linear matrix inequalities (LMIs). It shows that the almost sure stability criterion is less conservative than the mean square stability criterion. With the help of the singular value decomposition technique, the controller and observer gains can be achieved by solving a set of LMIs. Finally, two numerical examples are provided to illustrate the validity of the proposed scheme.

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