The Noninteracting Control of Multivariable Linear Systems by Relay Elements

Abstract

Noninteracting control of a multivariable linear system has been investigated by many authors. Most of them are concerned with a diagonalization of a closed-loop transfer function matrix. In this paper, the authors present a quite different method. The present authors' system is composed of relays and linear compensating networks as its controller, and a noninteraction is realised by the sliding motions of relays. The system can be constructed very simply, because we do not need the so-called crossterm-controllers. Conditions which ensure a noninteraction are given. These conditions are imposed not only on the system parameters, but also on the system's initial states and the input signals to the system. Stability of thus obtained noninteraction to the disturbance is analysed.