MINIMUM ENERGY CONTROL PROBLEM OF POSITIVE FRACTIONAL DISCRETE-TIME SYSTEMS

摘要

The minimum energy control problem of positive fractional-discrete time linear systems is addressed. Necessary and sufficient conditions for the reachability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the positive fractional discrete-time systems are given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.