Synthesis Algorithms of Controllers for Automatic Control Systems with Maximum Stability Degree

Abstract

Algorithms for synthesis of the P, PD, PI and PID controllers for control systems with maximum stability degree are elaborated in this paper. The imposing to the designed system of the maximum stability degree is provided by the following statement: the maximum possible stability degree of the automatic control system can be achieved when the real parts of all roots of the characteristic equation are equal. The proposed algorithms represent a simple procedure, that are reduced to use of algebraic equations and can be applied to the objects’ models with inertia of arbitrary order, astatism and time delay. In comparison with other methods of controllers’ synthesis, the proposed algorithms provide good performance to the designed automatic control systems, resulting the aperiodic transient processes. They allow also to impose or to optimize the settling time of the designed automatic control system. These algorithms may be used both for synthesis of the conventional automatic systems and for synthesis of the automatic systems with auto tuning and the adaptive systems.