Maximal robust low-order controller for the discrete control systems of uncertain objects

The paper considered design of the controllers of a fixed low order for constant-coefficient linens objects whose parameters belong to the given convex set. For any object from the family, the robust controller guarantees that the coefficients of the characteristic polynomial of the closed-loop system do not leave the given domain and the maximal robust controller will render this property to the widest possible family of objects. The requirements on the characteristic polynomial were defined by special constraints, which enables one to consider the interval and superstable polynomials as special cases. The examples presented illustrated the peculiar properties of analysis and design of the robust control systems.