Rational L/sub /spl infin// norm approximation of multivariable systems

The problem of rational L/sub /spl infin// norm approximation of multivariable systems is treated in this paper. L/sub /spl infin// norm approximation of simultaneous muitivariable systems by a rational matrix function with desired number of stable and unstable poles is obtained using LMI based formulation of the problem. Several LMI based iterative algorithms are proposed for the computation of the solution.