Theory of Operator-Coordinate Feedback

Abstract

This chapter is devoted to the qualitative investigation of binary automatic control systems with different types of feedback. Potentially, nonlinear dynamical stabilization systems of this type must possess the most perfect properties which are close to those ideal properties that are observed in control systems with high gain feedback. However, in contrast to the latter, a binary stabilization system is robust in the class of regular and singular perturbations. Very likely, in this chapter we demonstrate, to the full extent, the use of the nonlinearity effect in problems of stabilization of an essentially uncertain object. The final motion equations of a stabilization system are nonlinear in principle, sufficiently complicated, and possess globally stable solutions which depend but slightly (and do not depend at all, in certain cases) on uncertainty factors and can be described by simple differential equations. Nonlinear equations of this kind are a direct result of application of the theory worked out in this monograph.