Stability and roughness conditions for the behavior of a distributed plant control system with a controller close to a degenerated system

Abstract

Stability and roughness conditions for a distributed plant control system with a two-link controller close to a degenerated system (Shchipanov’s controller) are considered. A mathematical model of the plant and the controller is specified by operator relations between the output, control, and disturbance. For a linear plant, conditions for the nearly invariant behavior of the closed system are obtained. For a nonlinear plant that is linear with respect to control, conditions for the stability and nearly invariant behavior of the closed system are obtained.