Designing adaptive control in the problem of optimal damping of perturbations

The present paper is devoted to analysis and design of the adaptive systems for correction of the dynamic objects subjected to the unknown bounded deterministic perturbations and consists, as a matter of fact, of two parts. The first part proposed a scheme of optimal adaptive damping of perturbations using filters screening the values of higher derivatives of the vector of phase variables. The second part solved the same problem within the framework of the scheme of optimal damping of perturbations under satisfied objective conditions but without resorting to the filtration facilities and disregarding the initial data.