<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The problem of output regulation deserves a special attention particularly when it comes to the regulation of nonlinear systems. It is well-known that the problem is not always solvable even for linear systems and the fact that some demanding applications require not only magnitude but also rate actuator constraints makes the problem even more challenging. In addition, real physical systems might have parameters whose values can be known only with a specified accuracy and these uncertainties must also be considered to ensure robustness and on the other hand because they can be crucial for the type of behaviour exhibited by the system as it happens with the celebrated chaotic systems. The present paper proposes a robust control method for output regulation of chaotic systems with parameter uncertainties and subjected to magnitude and rate actuator constraints. The method is an extension of a work recently addressed by the same authors and consists in decomposing the nonlinear system into a stabilizable linear part plus a nonlinear part and in finding a control law based on the small-gain principle. Numerical simulations are performed to validate the effectiveness and robustness of the method using an aeronautical application. The output regulation is successfully achieved without exceeding the input constraints and stability is assured when the parameters are within the specified intervals. Furthermore, the proposed method does not require much computational effort because all the control parameters are computed offline.</p></abstract>

The problem of output regulation deserves a special attention particularly when it comes to the regulation of nonlinear systems. It is well-known that the problem is not always solvable even for linear systems and the fact that some demanding applications require not only magnitude but also rate actuator constraints makes the problem even more challenging. In addition, real physical systems might have parameters whose values can be known only with a specified accuracy and these uncertainties must also be considered to ensure robustness and on the other hand because they can be crucial for the type of behaviour exhibited by the system as it happens with the celebrated chaotic systems. The present paper proposes a robust control method for output regulation of chaotic systems with parameter uncertainties and subjected to magnitude and rate actuator constraints. The method is an extension of a work recently addressed by the same authors and consists in decomposing the nonlinear system into a stabilizable linear part plus a nonlinear part and in finding a control law based on the small-gain principle. Numerical simulations are performed to validate the effectiveness and robustness of the method using an aeronautical application. The output regulation is successfully achieved without exceeding the input constraints and stability is assured when the parameters are within the specified intervals. Furthermore, the proposed method does not require much computational effort because all the control parameters are computed offline.

Robust Output Regulation Of Uncertain Chaotic Systems With Input Magnitude And Rate Constraints

LAETA-UBI/AeroG & Avionics and Control Laboratory, Department of Aerospace Sciences, University of Beira Interior, 6201-001 Covilhã, Portugal

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The problem of output regulation deserves a special attention particularly when it comes to the regulation of nonlinear systems. It is well-known that the...

Robust Output Regulation Of Uncertain Chaotic Systems With Input Magnitude And Rate Constraints

Published Online: Dec 30, 2015

Page range: 252 - 258

Received: Dec 12, 2014

Accepted: Dec 18, 2015

DOI: https://doi.org/10.1515/ama-2015-0040

Keywords
Output Regulation, Actuator Constraints, Parametric Uncertainties, Robust Control, Chaos, Aeroelastic System

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Robust Output Regulation Of Uncertain Chaotic Systems With Input Magnitude And Rate Constraints

Published Online: Dec 30, 2015

Page range: 252 - 258

Received: Dec 12, 2014

Accepted: Dec 18, 2015

DOI: https://doi.org/10.1515/ama-2015-0040

KeywordsOutput Regulation, Actuator Constraints, Parametric Uncertainties, Robust Control, Chaos, Aeroelastic System

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Output Regulation, Actuator Constraints, Parametric Uncertainties, Robust Control, Chaos, Aeroelastic System