Stability Analysis of Output Regulated Rational Nonlinear Systems

This article presents a novel framework for the output regulation of rational nonlinear systems subject to input saturation, where the controller structure is composed by an internal model generator in series with an output feedback stabilizing stage. In order to address the effects of control saturation, we propose the use of an anti‐windup compensation loop into both internal model and stabilizing control stages. Given prior knowledge of the system zero‐error steady‐state condition and a proper internal model, we cast the regulation error dynamics in a differential‐algebraic form, which leads to matrix inequalities conditions that ensure closed‐loop stability and exponential transient performance. Optimization problems are then proposed to simultaneously compute the stabilizing controller and the anti‐windup gains such that a domain of attraction estimate is maximized.

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Controller and anti‐windup co‐design for the output regulation of rational systems subject to control saturation

Castro

Flores

Saltón

et al. 2020

Intl J Robust & Nonlinear

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A Stabilization Framework for the Output Regulation of Rational Nonlinear Systems

Castro

Flores

Saltón

et al. 2020

IEEE Trans. Automat. Contr.

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A systematic stabilization approach is provided for systems whose regulation error dynamics is subject to rational nonlinearities given prior knowledge of the system zero-error steady-state condition and a proper internal model. The error dynamics is cast in a differential-algebraic form so as to address the synthesis of controller parameters by a numerical optimization problem subject to bilinear matrix inequality constraints. A particular case is also explored where the resulting constraints are linear matrix inequalities.

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Stability Analysis of Output Regulated Rational Nonlinear Systems

Cited by 2 publications

References 17 publications

Controller and anti‐windup co‐design for the output regulation of rational systems subject to control saturation

Controller and anti‐windup co‐design for the output regulation of rational systems subject to control saturation

A Stabilization Framework for the Output Regulation of Rational Nonlinear Systems

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