For a class of nonlinear capacity-limited networks satisfying a monotonicity assumption, a decentralized anti-windup PI controller globally stabilizes a unique equilibrium that minimizes a weighted l1 tracking error, and a rank-1 coordinated version minimizes the l-infinity error.
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On PI-control in Capacity-Limited Networks
For a class of nonlinear capacity-limited networks satisfying a monotonicity assumption, a decentralized anti-windup PI controller globally stabilizes a unique equilibrium that minimizes a weighted l1 tracking error, and a rank-1 coordinated version minimizes the l-infinity error.