Optimality of two-degree of freedom controllers in H 2 - and H ∞ -norm space, their robustness and minimal sensitivity

On the Equivalence of a Minimal Order MPC and a Gtdof Control of Time-Delay Plants

“…Here P r and P w are assumed stable and usually strictly proper transfer functions, that are capable to place desired poles in the tracking and the regulatory transfer functions, furthermore they are usually referred as reference signal and output disturbance predictors. They can even be called as reference models, so reasonably An interesting result was found in (Keviczky and Bányász (1999)) that the optimization of the GTDOF scheme can be performed in H 2 and H ∞ norm spaces by the proper selection of the serial G r and G w embedded filters attenuating the influence of the invariant process factor S − . Using H 2 norm a D E should be solved to optimize only these filters and not the whole regulator itself.…”

“…2) and y . In this approach (called KB-parametrization (Keviczky and Bányász (1999))) û depends on the apriori model estimate M i , so only iterative scheme can be constructed. …”

Robust stability and performance of time-delay control systems

“…The advantage of this approach is that it is easy to calculate the "best" reachable optimal regulator depending on the applied H 2 and/or H ∞ norms as criteria [7]. The drawback is that this methodology can be applied only for open-loop stable plants.…”

“…1, where y r , u, y and w are the reference, process input, output and disturbance signals, respectively. The R o optimal ARS regulator, when the model M of the process is equal to the true process S, of the GTDOF scheme [7] is given by…”

“…Here P r and P w are assumed to be stable and proper transfer functions (reference models). An interesting result was shown in [7] that the optimization of the GTDOF scheme can be performed in H 2 and H ∞ norm spaces by the proper selection of the serial G r and G w embedded filters.…”