<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Among the most popular approaches to non-linear control is gain-scheduled (GS) controller, which can have better performance than robust and other ones. Our approach is based on a consideration that in linear parameter varying (LPV) system, scheduling parameters and their derivatives with respect to time are supposed to lie in a priori given hyper rectangles. To access the performance quality a new quadratic cost function is used, where weighting matrices are time varying depends on scheduled parameter. The class of control structure includes decentralised fixed order output feedbacks like PID controller. Numerical examples illustrate the effectiveness of the proposed approach.</p></abstract>

Among the most popular approaches to non-linear control is gain-scheduled (GS) controller, which can have better performance than robust and other ones. Our approach is based on a consideration that in linear parameter varying (LPV) system, scheduling parameters and their derivatives with respect to time are supposed to lie in a priori given hyper rectangles. To access the performance quality a new quadratic cost function is used, where weighting matrices are time varying depends on scheduled parameter. The class of control structure includes decentralised fixed order output feedbacks like PID controller. Numerical examples illustrate the effectiveness of the proposed approach.

Gain–Scheduled Controller Design: Variable Weighting Approach

Institute of Control and Industrial Informatics, Slovak University of Technology in Bratislava, Faculty of Electrical Engineering and Information Technology, Ilkovičova 3, 812 19 Bratislava, Slovakia

Journal of Electrical Engineering

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"Gain\u2013Scheduled Controller Design: Variable Weighting Approach"}

Among the most popular approaches to non-linear control is gain-scheduled (GS) controller, which can have better performance than robust and other ones. Our...

Gain–Scheduled Controller Design: Variable Weighting Approach

Published Online: Apr 23, 2014

Page range: 116 - 120

DOI: https://doi.org/10.2478/jee-2014-0017

Keywords
gain-scheduled control, decentralised control, Lyapunov function, quadratic cost function, MIMO LPV systems, PID controller

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Gain–Scheduled Controller Design: Variable Weighting Approach

Published Online: Apr 23, 2014

Page range: 116 - 120

DOI: https://doi.org/10.2478/jee-2014-0017

Keywordsgain-scheduled control, decentralised control, Lyapunov function, quadratic cost function, MIMO LPV systems, PID controller

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Keywords
gain-scheduled control, decentralised control, Lyapunov function, quadratic cost function, MIMO LPV systems, PID controller