Estimation of the Limit Accuracy of Discrete Systems for a Class of Dynamic Controllers Relative to the Output

摘要

A problem is considered for the estimation of the limit accuracy of multidimensional discrete systems for a definite class of dynamic controllers relative to the output, which differ in the fact that certain of the poles of a closed system prove to be zero ones, while the remaining poles are either the poles of a linear-quadratic controller or the poles of the Kalman filter that is dual with respect to this controller. Asymptotic properties of such controllers are investigated and for a minimum-phase object, a limit (minimum possible) control error is defined in the explicit form, for which the Euclidean norm of the vector of steady-state values of controllable variables is taken. An example of synthesis of a multidimensional discrete systems by the prescribed requirements for a static accuracy, which illustrates the obtained results, is given.