Spectral analysis of previewing controllers

Analytical expressions for the performance of optimal and suboptimal control policies in trajectory tracking problems are derived. Special attention is devoted to the finite preview problem. In the time-invariant infinite-duration case correspondence of the performance indices for finite energy, finite power, and stationary stochastic trajectories, all with the same spectral density, is established. Using this correspondence, the performance of different control policies is studied in the frequency domain. Simulation results demonstrate the facility of the theory of this paper.