Optimal anti-windup digital redesign of multi-input multi-output control systems under input constraints

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Optimal anti-windup digital redesign of multi-input multi-output control systems under input constraints

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In this study, a novel optimal anti-windup control scheme is proposed to resolve the input constraint problem for multi-input multi-output (MIMO) systems, without losing the good tracking performance as possible. Avoiding complex numerical calculation, the proposed optimal control scheme can systematically compress a huge control input within the range of the required restriction by adjusting well-designed weighted matrices for linear constrained systems. Combining a conventional linear quadratic analogue tracker (LQAT) with the proposed scheme, the anti-windup-based optimal analogue tracker not only possesses the advantage of the conventional LQAT, good tracking performance, but also effectively resolves the input saturation problem. For practical consideration, the proposed LQAT is implemented by adopting the prediction-based digital redesign technique to design an effective digital control of linear MIMO sampled-data systems under input constraints.

Inspec keywords: matrix algebra; digital control; control nonlinearities; control system synthesis; sampled data systems; optimal control; MIMO systems

Other keywords: input saturation problem; digital control; optimal anti-windup digital redesign; linear MIMO sampled-data systems; optimal anti-windup control; weighted matrices; input constraint problem; multiinput multioutput control systems; linear quadratic analogue tracker

Subjects: Algebra; Optimal control; Multivariable control systems; Nonlinear control systems; Discrete control systems; Control system analysis and synthesis methods

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