Low-order controllers for discrete control systems under nonrandom disturbances: a synthesis method (Q1882029)

Linear discrete dynamic systems described by transfer functions are considered. It is asssumed that the desired location of the poles of the transfer function for the nonobservable external disturbance is given. In addition, it is assumed that the disturbance is constraint either by a maximal \(l_\infty\) norm or by a bounded \(l_1\) norm. An optimization problem for designing fixed-order controllers is formulated. Numerical methods for solving the resulting special linear programming problems are described. The methods are illustrated by numerical examples. It is shown that the performance of low-order controllers can be superior to high-order optimal controllers.