Worst-Case Gain Sensitivity with Zero Phase Sensitivity in Active RC Network Synthesis

The change in only the magnitude of a network function or the pole vectors due to an infinitely small change in the control parameter K has been usually considered in studying the sensitivity of an active network. In this paper, K is assumed to increase or decrease from its nominal value by finite amounts. A worst-case synthesis procedure, based on a new polynomial decomposition, is presented for designing an active RC network, such that the maximum and minimum modulus of the gain function at a prescribed frequency lies within specified limits and also the phase remains unchanged. An example of a transistor amplifier is worked out, including experimental results.