Stabilization of Discrete-Time Systems via a Partially Disabled Controller Experiencing Forced Dwell Times

Stabilization of Discrete-Time Systems via a Partially Disabled Controller Experiencing Forced Dwell Times

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This paper focuses on the stabilization problem of discrete-time systems via exploiting a partially disabled controller, where a stochastic variable with two values is used to describe a controller useful or not.Particularly, the adopted stochastic variable Lotions is not the traditional Bernoulli variable, but a variable has forced dwell times on the basis of traditional Bernoulli variable.Due to such a stochastic variable included, two kinds of dwell times, named as fixed and random dwell times, respectively are included in the closed-loop system.It will be shown that the stochastic stability of the original closed-loop system could be guaranteed by creams-lotions the established auxiliary system with state jumps.More importantly, sufficient conditions for the existence of the desired controller are presented with linear matrix inequalities forms.

Finally, a numerical example is used to demonstrate the effectiveness of the proposed methods.