Synthesis algorithms for adaptive-modal control systems for technological objects with delays
Abstract
Algorithms for the synthesis of adaptive-modal controllers for objects with control lag under conditions of a priori uncertainty and non-stationarity of their parameters are presented. For accurate estimation of the state vector of an object with control delay, convergence of the estimation vector is required. The choice of adaptive algorithms that ensure the achievement of the identification goal is made. To find the parameters of the controller, the second Lyapunov method is used in the form of a quadratic positive definite form. A block diagram of a synthesized system with two tunable models with parametric and signal settings, adaptive compensation and linear feedback (model regulator) is given. The results of numerical analysis have confirmed their effectiveness, which makes it possible to use them in solving applied problems of adaptive-modal control of technological objects with delay and to ensure the achievement of both the identification goal and the control goal.