Minimization of overshoot in linear discrete-time systems via low-order controllers

摘要

For the SISO linear discrete-time control systems, a technique of response optimization was proposed. It is based on introducing a performance function which is the upper bound of the maximum of error magnitude. Its minimization leads to a linear programming problem in the controller coefficients. Importantly, a low-order controller can be designed in this manner. Various generalizations of the problem, including the robust variant, were considered.