Linear multivariable time-invariant system models, controlled by proportion
al regulators, are considered. Selection of the regulator gain elements so
that a specified polynomial function is generated, to provide improved clos
ed-loop properties, is advocated. The effect on the characteristics of the
closed-loop system model is assessed using conventional frequency domain te
chniques. Control effort minimization is achieved by optimizing the gain ra
tios. An illustrative example is provided to demonstrate effectiveness. Sim
ulated transient characteristics are computed, completing the design exerci
se thereby.