INTEGRAL CONSTRAINTS ON SENSITIVITY VECTORS FOR MULTIVARIABLE LINEAR-SYSTEMS

This paper develops integral constraints on sensitivity vectors for mu ltivariable feedback systems due to either unstable poles or non-minim um-phase zeros of the plant. The results presented cover the continuou s (rational or distributed) case, and are based on the use of directio ns corresponding to zeros or poles of the plant. The integral constrai nts are in vector form, and give new insights into the inherent trade- offs in sensitivity reduction for multivariable systems and the cost o f decoupling.