Robust model matching control system design for SISO plants with large perturbations

The design problem of robust model matching control systems for single-input single-output (SISO) plants with large (structured) perturbations is addressed. It is assumed that the plant is of minimum phase and has a gain constant of fixed sign, and that the gain constant, the coefficients and degrees of the denominator and numerator polynomials of the plant transfer function take values in (any) given and bounded sets. A method is given for designing a controller which makes the closed-loop system have the following properties simultaneously: (1) robust stability, (2) robust static-state property, and (3) robust transient property