Event Based Control of Linear Systems with Stochastic Perturbations

In this paper, an event-based control strategy for linear systems under disturbances is presented where the control input generator generates a control which tries to mimic a state feedback control between two successive events. The control input is generated in such a way that the error between the state of this system and the continuous state feedback system is bounded. The event generator triggers an event based on this error and the control input generator modifies its control function in such a way that it makes sure that the error generated up to this triggering instance is reduced to zero and thus it does not have any effect on the future value of the state regardless of the stability of the plant. It is also shown that under this event triggering mechanism, the control input generator generates the control in such a way that this error bound could be made arbitrarily small.