TY - JOUR

T1 - Robust anti-windup synthesis for directionality compensation

AU - Adegbege, A.A.

AU - Heath, W.P.

PY - 2012/6/24

Y1 - 2012/6/24

N2 - We develop new robust synthesis procedures for linear and open-loop exponentially stable multivariable plants subject to input nonlinearities expressed by a quadratic program and incorporating infinity-norm bounded plant uncertainties. The resulting anti-windup control falls into a class of compensators commonly termed directionality compensation. We note that the input-output maps of both the nonlinearities and the uncertainties satisfy certain integral quadratic constraints (IQCs). Thus, the anti-windup synthesis can be reduced to a feasibility problem involving a set of linear matrix inequalities (LMIs). The well-posedness condition of the algebraic loop arising from the anti-windup interconnection is equivalent to the existence and uniqueness of a solution to a convex optimization problem for which efficient solutions are well established. We demonstrate the effectiveness of the design compared to several schemes using a highly ill-conditioned benchmark example

AB - We develop new robust synthesis procedures for linear and open-loop exponentially stable multivariable plants subject to input nonlinearities expressed by a quadratic program and incorporating infinity-norm bounded plant uncertainties. The resulting anti-windup control falls into a class of compensators commonly termed directionality compensation. We note that the input-output maps of both the nonlinearities and the uncertainties satisfy certain integral quadratic constraints (IQCs). Thus, the anti-windup synthesis can be reduced to a feasibility problem involving a set of linear matrix inequalities (LMIs). The well-posedness condition of the algebraic loop arising from the anti-windup interconnection is equivalent to the existence and uniqueness of a solution to a convex optimization problem for which efficient solutions are well established. We demonstrate the effectiveness of the design compared to several schemes using a highly ill-conditioned benchmark example

U2 - 10.3182/20120620-3-DK-2025.00039

DO - 10.3182/20120620-3-DK-2025.00039

M3 - Erthygl

VL - 45

SP - 276

EP - 281

JO - IFAC Proceedings Volumes (IFAC-PapersOnline)

JF - IFAC Proceedings Volumes (IFAC-PapersOnline)

IS - 13

ER -