International Journal of Control, Vol.68, No.3, 499-512, 1997
Robust Controller-Design for Parametrized Uncertain Plants by Synergizing Qft and Q-Parametrization
Based on the basic design methodology of quantitative feedback theory (QFT), Q-parametrization is used to deal with the stability issue encountered. The set of all stabilizing controllers is first found for an arbitrarily chosen nominal plant using Q-parametrization. To stabilize all the plants, a sufficient condition is developed to find the constraints on Q(s). The other requirements such as the uncertainties in performance specification and robust performance requirement are also converted into the same space as additional constraints. The loopshaping in Q-space is to find a feasible Q(s) to satisfy all the constraints. With a controller obtained through such a Q(s), one can derive the constraints posed on the controller C(s) due to all the requirements. The loopshaping directly in C-space then helps one to find a reduced-order controller. Numerical examples are used to illustrate the feasibility of the approach.