Simultaneous stabilization of linear dynamic plants by the variable-structure controller

Consideration was given to the design of a unique controller with state feedback stabilizing the finite family of linear dynamic plants of identical orders. It was proposed to use for that the variable-structure controllers giving rise to sliding modes in the closed-loop systems. Constructive existence conditions for a universal variable-structure stabilizer of the given finite family of dynamic plants were formulated.

Presented by the member of Editorial Board: V. Yu. Rutkovskii