The Noninteracting Control of Nonlinear Multivariable Systems by Relay Elements

Abstract

In the control of multivariable systems, the noninteracting control problem is a fundamental one. This problem has been investigated by many authors. However, a few papers have been preysented for the noninteracting control of nonlinear multivariable systems.
In the previous papar, the authors have shown that, for linear multivariable systems, it is possible to eliminate the mutual interaction of the multivariable system by using relays and simple linear compensators as its controllers. That is, under some restrictions, usual multivariable relay control systems act as a kind of noninteracting control systems. In this paper, it is shown that, for the nonlinear multivariable relay control system, the same effects occur. That is, under some restrictions on the system's parameters and initial states, the noninteracting control can be realized by using simple and physically realizable controllers even if the given plant is nonlinear.