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ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ ⅷ This paper introduces a new class of simple nonlinear PID controllers and provides a formal treatment of their stability analysis. These controllers are comprised of a sector-bounded nonlinear gain in cascade with a linear fixed-gain P, PD, PI, or PID controller. Three simple nonlinear(More)