Synthesis of a Two-Parameter Controller for the Maximum Response Rate of a Control System with an Interval Characteristic Polynom

This article considers the application of mathematical programming for the synthesis of robust controllers. These methods are proposed for the synthesis of stationary control systems. They are based on the criterion of maximizing the degree of stability. The article solves the problem of providing the maximum response rate for the two-parameter regulator. This regulator is used in the system with interval-indefinite coefficients of the characteristic polynomial. For this, algebraic conditions are obtained. Under these conditions, the degree of stability will be maximum. Also, the algorithm of regulator synthesis is given. Based on these conditions and algorithms, the limiting degree of stability of the third-order interval system is found.