PID Controller Synthesis Using a $\sigma$ -Hurwitz Stability Criterion

This letter proposes a new approach to design Proportional-Integral (PI) and Proportional-IntegralDerivative (PID) controllers. The main result is a constructive determination of the set 8(σ) of stabilizing PI and PID controllers with closed loop poles having real parts less than -σ. The signature method is applied to obtain the set 8(σ) in the controller parameter space. Illustrative examples are...