Event based control of stochastic linear systems

In this paper, an event based control strategy for linear systems under stochastic 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 input in such a way that it corroborates that the error generated up to this triggering instance is reduced to zero and thus it does not have any effect on the future states 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 the error bound could be made arbitrarily small.