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Low-gain feedback has found several applications in constrained control, robust control, and nonlinear control. In this paper, we first generalize the existing low-gain design methods by introducing the notion of L∞-vanishment and by providing a full characterization of feedback gains that achieve such a property. We observe that L∞ low-gain feedback can lead to energy peaking, namely, the control...
Low gain feedback has found several applications in constrained control, robust control and nonlinear control. Low gain feedback refers to a family of stabilizing state feedback gains that are parameterized in a scalar and go to zero as the scalar decreases to zero. Slow peaking, the peak value of the state of the closed-loop system increasing towards infinity as the time goes to infinity and the...
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