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Observer design for delayed Markovian jump systems with output state saturation. (English) Zbl 1427.93269
Summary: This paper considers the observer design problem of continuous-time delayed Markovian jump systems with output state saturation. Different from the traditionally observer-based saturation control methods, a kind of system output state saturation with a partially delay-dependent property is proposed, where both nondelay and delay states exist at the same time but happen asynchronously. By exploiting the Bernoulli variable, the probability distributions of such two states are described and considered in the observer design. Based on an improved equality applied to deal with saturation terms, sufficient conditions for the designed observer with three kinds of output saturations are all provided with LMI forms. Finally, a numerical example is given to indicate the effectiveness of the obtained results.
MSC:
93E15 Stochastic stability in control theory
93C10 Nonlinear systems in control theory
93B07 Observability
93D20 Asymptotic stability in control theory
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