Optimal tracking under periodic output feedback control

Periodic output feedback control is a sampled-data control technique for continuous-time systems where discrete output samples are multiplied by a periodic gain function to generate a continuous feedback control. Earlier the authors obtained the optimal solution for the regulator problem in two steps by separating the continuous-time from the discrete-time structure. By specifying the discrete-time behavior of the system at the sample-times in terms of a gain matrix, the overall problem was reduced to a finite-dimensional optimization problem which then was solved numerically. The regulator theory is extended to solve the optimal asymptotic point tracking problem where it is required that the outputs of a system follow or track a desired trajectory at the sample-times for a quadratic cost criterion