Synthesis of multivariable systems of prescribed accuracy. I: Use of procedures of LQ-optimization. (English. Russian original) Zbl 1067.93026

Aleksandrov, A. G.; Chestnov, V. N.

Autom. Remote Control 59, No. 7, Part 2, 973-983 (1998); translation from Avtom. Telemekh. 1998, No. 7, 83-95 (1998).

A problem is stated for the synthesis of continuous controllers that ensure the desired accuracy of variables in the steady state under the effect of unmeasurable polyharmonic bounded (external) disturbances with unknown amplitudes and frequencies. Conditions of problem solvability are found and synthesis algorithms are developed for two kinds of plants on the basis of investigations of the frequency properties of linear-quadratic (LQ) optimal systems and the choice of coefficients of a quadratic optimization functional.

Reviewer: Ryszard Gessing (Gliwice)

MSC:

93B50	Synthesis problems
49N10	Linear-quadratic optimal control problems
93C73	Perturbations in control/observation systems

Keywords:

system accuracy; synthesis; steady state; polyharmonic bounded disturbances; linear-quadratic optimal systems