Synthesis of Adaptive Algorithms with Given Quality

Integrated adaptive algorithms (IAA) are widely used in control systems. Some authors use integrally proportional algorithms, which are obtained in heuristically considered features of the system under consideration. Most IA was got based on of the second Lyapunov method. Modifications of numerical procedures are used as algorithms for tuning parameters of the control law. In this paper, we substantiate some well‐known algorithms and procedures, considering the requirements for an adaptive identification system. Requirements are formed as functional constraints and are considering during synthesis. A representation of the adaptive algorithm is obtained as a system in the state space. Classes of potential algorithms (PA) are considered. PA has a general form and is required adaptation at the implementation stage. PA variants are presented. The limitation of trajectories in an adaptive system and their exponential stability are studied. Simulation results are got.