A synthesis of homogeneous robust control systems by means of reduction to integral surfaces

Аuthors

Pilishkin V. N.

Bauman Moscow State Technical University, MSTU, 5, bldg. 1, 2-nd Baumanskaya str., Moscow, 105005, Russia

e-mail: pilishkin@hotmail.com

Abstract

A state constrained problem for a dynamical object is considered. A new synthesis approach is offered based on using of temporary integral surfaces. These surfaces are used to generate scalar reduced motion. The motion allows determining immediately conditions to satisfy state constraints. An algebraic criteria is derived for a homogeneous dynamical system class which determines necessary and sufficient conditions for problem solvability. Some realizations are discussed for the approach discussed.