Robust controller design by linear programming with application to a double-axis positioning system

Karimi, Alireza; Kunze, Marc; Longchamp, R.

doi:10.1016/j.conengprac.2006.06.002

Cited by 71 publications

(61 citation statements)

References 12 publications

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“…To solve this problem a method is presented to design robust controllers for multi-model uncertainty using linear programming. The main feature of this method is that the stability and some robustness margins are guaranteed by linear constraints in the Nyquist diagram and the method is applicable to multiple models as well (see Karimi et al (2007)). …”

Section: Control Design Methodsmentioning

confidence: 99%

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Robust and Gain-Scheduled PID Controller Design for Condensing Boilers by Linear Programming

Oliveira

Karimi

2012

IFAC Proceedings Volumes

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This paper addresses the water temperature control in condensing domestic boilers. The main challenge of this process under the controller design perspective is the fact that the dynamics of condensing boilers are strongly affected by the demanded water flow rate. Two approaches are presented in this paper. First, a robust PI controller is designed that stabilizes and achieves good performance for closed-loop system for a wide range of the water flow rate. Then, it is shown that if the water flow rate information is used to update the controller gains, a technique known as gain-scheduled control, the performance can be significantly improved. Several models of a boiler in different water flow rate are identified in collaboration with Honeywell, and the effectiveness of the results are illustrated by simulation.

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Section: Control Design Methodsmentioning

confidence: 99%

“…In this paper the method given in Karimi et al (2007) is applied to design a robust PID controller for the condensing boiler problem. The main feature of the method is that the stability, robustness margins and some performance specifications are guaranteed by linear constraints in the Nyquist diagram.…”

Section: Introductionmentioning

confidence: 99%

Robust and Gain-Scheduled PID Controller Design for Condensing Boilers by Linear Programming

Oliveira

Karimi

2012

IFAC Proceedings Volumes

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“…The underlying theories of the developed software are, in fact, the results of Karimi et al (2007), Karimi and Galdos (2010), and Galdos et al (2010). We shall briefly describe these results here in order to better understand the commands of the toolbox.…”

Section: Theoretical Basesmentioning

confidence: 99%

A Toolbox for Robust PID Controller Tuning Using Convex Optimization

Sadeghpour

Oliveira

Karimi

2012

IFAC Proceedings Volumes

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A robust PID controller design toolbox for Matlab is presented in this paper. The design is based on linearizing or convexifying the conventional non-convex constraints on the classical robustness margins or H ∞ constraints. Then the existing optimization solvers can be used to compute the controller parameters. The software can be used in a wide range of controller design problems, including multi-model systems and gain-scheduled controllers. The models can be parametric or non-parametric while the software is compatible with the output data of the identification toolbox of Matlab. Three illustrative examples exhibit convenience of working with the developed commands.

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“…They are usually solved by employing heuristics or intelligent methods [9], [10]. A loop shaping method was proposed in [11], by specifying bounds on the phase and gain margins.…”

Section: Introductionmentioning

confidence: 99%

An iterative LMI approach to controller design and measurement selection in self-optimizing control

Klemets

Hovd

2017

2017 11th Asian Control Conference (ASCC)

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Abstract-Self-optimizing control focuses on minimizing loss for processes in the presence of disturbances by holding selected controlled variables at constant set-points. The loss can further be reduced by controlling measurement combinations to constant values. Two methods for finding appropriate measurement combinations are the Null-space and the Exact local method. Both approaches offer sets with an infinite number of solutions that give the same loss. Since self-optimizing control is mainly concerned with minimizing the steady-state loss, little attention has been put on the dynamic performance when selecting measurement combinations.In this work, an iterative LMI approach is used to find a measurement combination and PI controllers for the Null-space or the Exact local method. The measurement combination and the controllers are designed such that, the dynamic response is improved when the process is facing disturbances.

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Robust controller design by linear programming with application to a double-axis positioning system

Cited by 71 publications

References 12 publications

Robust and Gain-Scheduled PID Controller Design for Condensing Boilers by Linear Programming

Robust and Gain-Scheduled PID Controller Design for Condensing Boilers by Linear Programming

A Toolbox for Robust PID Controller Tuning Using Convex Optimization

An iterative LMI approach to controller design and measurement selection in self-optimizing control

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