$_$ Control of Descriptor Systems Possessing Invariant Zeros on the Imaginary Axis and Infinity

PROJECT TITLE :

$_$ Control of Descriptor Systems Possessing Invariant Zeros on the Imaginary Axis and Infinity

ABSTRACT:

We tend to present an algorithm for controlling and scheduling multiple linear time-invariant processes on a shared bandwidth-restricted Communication network using adaptive sampling intervals. The controller is centralized and not only computes at every sampling instant the new management command for a process however additionally decides the time interval to attend till taking the next sample. The approach depends on model predictive management ideas, where the cost operate penalizes the state and management effort likewise because the time interval till the next sample is taken. The latter is introduced to come up with an adaptive sampling scheme for the overall system such that the sampling time will increase because the norm of the system state goes to zero. This paper presents a method for synthesizing such a predictive controller and offers explicit sufficient conditions for when it is stabilizing. Further express conditions are only if guarantee conflict free transmissions on the network. It's shown that the optimization drawback may be solved offline and that the controller will be implemented as a lookup table of state feedback gains. The simulation studies that compare the proposed algorithm to periodic sampling illustrate potential performance gains.

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