Maximizing Stability Degree of Control Systems under Interval Uncertainty Using a Coefficient Method

For linear automatic control systems, many synthesis methods have been developed that exercise options of the controller structure and parameters to provide the stated requirements to the system quality. Coefficient methods can compute approximate, but rather simple, correlations that link the automatic control system quality indices of a random order and the desired controller parameters. One of the most widely used criteria when designing an automatic control system is the system stability maximum degree. In real systems, the object parameters usually are rough or can be changed within certain limits. Such parameters are called interval parameters, and such control systems are called interval control systems. It seems very interesting to provide the maximum degree of robust stability in the system. The approach is based on coefficient assessment of the stability of interval systems’ indices and allows maximizing the robust stability degree when using unsophisticated algebraic associations.