Design of the l1-suboptimal Robust Controller for the Linear Object with Nonstructured Uncertainty

Design of the l ₁-suboptimal robust controller for the linear discrete scalar object with constrained external perturbation and nonstructured operator perturbation in input and control was considered. The worst value of the l -norm of object output in the class of admissible perturbations was regarded as the performance index of the control system. The problem of designing the optimal robust controller was interpreted in the geometric terms, and an algorithm to design the suboptimal controller was proposed. A numerical example was used to demonstrate effciency of the algorithm, the ways to improving it, and the differences between the suboptimal robust controllers with structured and nonstructured operator perturbations.