A new feedback optimization problem

Summary form only given. Methods for stabilizing a plant P with an affordable variable structure Delta P are derived, starting with an operator optimization problem. When C represents the series compensator, Delta C the series compensator which is activated when Delta P is present, F the feedback compensator, Delta F the feedback compensator which is activated when Delta P is present, r the reference input, and d/sub i/, i=1, 2, 3 the additive disturbances, the objective is to ensure that the closed-loop transmissions satisfy performance objectives for stabilizing Delta P, C, C+ Delta C, and F+ Delta F. Another way of considering the problem is to aim at the minimization of the norm of the difference between the output of the undisturbed nominal system and the output of the modified system with disturbances. It is possible to reconsider the designs while assuming that Delta P is a nonlinear flexible structure. Modelling uncertainties delta P could then be taken into consideration in order to develop robustness bounds for each of the previous designs.<
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