id: 03954774
dt: j
an: 03954774
au: Horowitz, Isaac
ti: The singular-G method for unstable non-minimum-phase plants.
so: Int. J. Control 44, 533-541 (1986).
py: 1986
pu: Taylor \& Francis, London
la: EN
cc: 
ut: singular-G (compensation) matrix; stability margins; single-input-single-
    output (SISO) plant
ci: 
li: doi:10.1080/00207178608933616
ab: Summary: In linear time-invariant feedback systems with plants which have
    both poles and zeros in the right half-plane, it is always possible to
    stabilize the system for a fixed plant. But in the previous optimum
    techniques, the stability margins might be so small as to render the
    design wholly impractical. This problem was overcome in the X-29
    aircraft in a multiple-input-multiple-output (MIMO) setting, by use of
    a singular- G (compensation) matrix inside the loop. Excellent
    stability margins were then achievable over a wide plant parameter
    range, by means of a fixed-G compensation matrix. This paper extends
    the singular-G technique to the single-input-single- output (SISO)
    plant. The latter is converted into an equivalent $N\times N$ MIMO
    plant by means of N parallel independent time-varying modulators acting
    on the plant output, a technique previously used for nonlinear network
    synthesis. The singular-G method is then applicable to the equivalent
    $N\times N$ MIMO plant. The detailed design procedure is presented by
    means of an example with $N=2$.
rv: