Abstract
The problem of noninteracting control in multivariable systems has been investigated by many authors and it has been known that the feedback control which realizes the noninteraction for linear multivariable systems is linear with respect to state-variables and includes a number of arbitrary parameters. Thus, one of the important design problems of noninteracting control systems is to determine the value of these arbitrary parameters.
In this paper, the method which determines the optimal value of these parameters in the sense of optimal tracking control is proposed. That is, for a given quadratic performance, these parameters are chosen so as to minimize the quadratic performance loss used in the theory of adaptive control and sensitivity analysis. In this case, the noninteracting control system becomes a suboptimal control system in the sense that the quadratic performance loss is minimum. The special case is also shown that under some conditions these arbitrary parameters can be determined so as to minimize a given quadratic performance itself. In such a case, the noninteracting control system is consistent with the optimal tracking control system.
