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Multivariable Anti-Windup Controller Synthesis Using Linear Matrix Inequalities


E. Mulder, V. Mayuresh, M. Kothare, M. Morari

vol. AUT99-17

We consider the problem of multivariable anti-windup bumpless transfer (AWBT) controller synthesis. We present a general formulation of the AWBT controller synthesis problem which provides sufficient conditions for stability covering a large class of typical input nonlinearities such as saturation, deadzone, and switching/override nonlinearities. The resulting synthesis method demonstrates graceful performance degradation whenever input nonlinearities are active through minimization of a weighted L2 gain. The main contribution of the paper is that the AWBT controller synthesis, using static compensation, is cast as a convex optimization over linear matrix inequalities. Thus, we provide a numerically efficient solution to the AWBT synthesis problem applicable to large-scale multivariable constrained processes.

Keywords: Control input nonlinearity, constrained system, nonlinear system, stability analysis, anti-windup, bumpless transfer, passivity theorem, linear matrix inequality, multiplier theory, absolute stability.


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(04)Technical Report

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% Autogenerated BibTeX entry
@TechReport { MulEtal:1999:IFA_338,
    author={E. Mulder and V. Mayuresh and M. Kothare and M. Morari},
    title={{Multivariable Anti-Windup Controller Synthesis Using Linear
	  Matrix Inequalities}},
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