This paper is the single-input, single-output frequency domain counterpart of a framework developed by the authors [7] for the design for performance of constrained controlled dynamic systems. Simple s-plane maps are used to graphically reveal interactions of performance requirements and constraints, thus permitting a control system designer to clearly understand performance trade-offs. Two important facts underlie our approach: (a) the dynamic performance of a closed-loop system is limited by certain constraints and (b) successful control system design must explicitly account for these constraints. The approach is applied to second-order linear systems which are the basis for much control system analysis and design of single-input, single-output linear systems.

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