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PI control synthesis for event-triggered control systems

  • Dipl.-Wirtsch.-Ing. Sven Reimann is PhD student at the Institute of Control Systems at the University of Kaiserslautern. Fields of interest: event-triggered control, control task scheduling, hybrid systems.

    University of Kaiserslautern, Department of Electrical and Computer Engineering, Erwin-Schrödinger-Str. 12, 67663 Kaiserslautern

    ,

    Dr.-Ing. Wei Wu is research assistant at the Institute of Control Systems at the University of Kaiserslautern. Fields of interest: event-based control, time-varying uncertain systems.

    University of Kaiserslautern, Department of Electrical and Computer Engineering, Erwin-Schrödinger-Str. 12, 67663 Kaiserslautern

    and

    Prof. Dr.-Ing. Steven Liu is head of the Institute of Control Systems at the University of Kaiserslautern. Fields of interest: control of mechatronic and power systems, robotics, optimization of embedded control, model-based fault diagnosis.

    University of Kaiserslautern, Department of Electrical and Computer Engineering, Erwin-Schrödinger-Str. 12, 67663 Kaiserslautern

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Published/Copyright: June 1, 2015

Abstract

Event-triggered control aims at reducing the resource utilization, especially the communication over the feedback link, while guaranteeing a certain control performance. Although setpoint tracking problems are common in practice, the majority of the proposed approaches in literature focus on regulation problems. Therefore, an event-triggered PI control design strategy with guaranteed performance is proposed in this paper, where both the event-triggering condition and the PI controller are implemented periodically. Based on a quadratic cost function, the PI control design problem is introduced and formulated as an LMI optimization problem. Comparisons with other approaches in the literature are made by simulation and by experimental studies to demonstrate the effectiveness of the proposed strategy.

Zusammenfassung

Das Ziel der ereignisbasierten Regelung ist es, die Verwendung der begrenzten Ressourcen zu reduzieren, wobei eine gewisse Regelperformance erhalten bleiben soll. Die meisten in der Literatur vorhandenen Ansätze betrachten jedoch Regulierungsprobleme, obwohl in der Praxis vor allem die Einregelung von Sollwerten ein verbreitetes Problem darstellt. Dieser Beitrag stellt daher eine Ansatz zur ereignisbasierten PI Regelung vor, bei dem neben der Kommunikationsreduktion eine gewisse Regelperformance garantiert werden kann. Die Ereignisbedingung sowie der PI Regler werden dabei digital realisiert. Basierend auf einer quadratischen Kostenfunktion wird der PI Reglerentwurf als LMI Optimierungsproblem formuliert. Es werden simulative und experimentelle Ergebnisse vorgestellt in denen die vorgestellte Methodik mit Ansätzen aus der Literatur verglichen wird.

About the authors

Sven Reimann

Dipl.-Wirtsch.-Ing. Sven Reimann is PhD student at the Institute of Control Systems at the University of Kaiserslautern. Fields of interest: event-triggered control, control task scheduling, hybrid systems.

University of Kaiserslautern, Department of Electrical and Computer Engineering, Erwin-Schrödinger-Str. 12, 67663 Kaiserslautern

Wei Wu

Dr.-Ing. Wei Wu is research assistant at the Institute of Control Systems at the University of Kaiserslautern. Fields of interest: event-based control, time-varying uncertain systems.

University of Kaiserslautern, Department of Electrical and Computer Engineering, Erwin-Schrödinger-Str. 12, 67663 Kaiserslautern

Steven Liu

Prof. Dr.-Ing. Steven Liu is head of the Institute of Control Systems at the University of Kaiserslautern. Fields of interest: control of mechatronic and power systems, robotics, optimization of embedded control, model-based fault diagnosis.

University of Kaiserslautern, Department of Electrical and Computer Engineering, Erwin-Schrödinger-Str. 12, 67663 Kaiserslautern

Received: 2014-11-12
Accepted: 2015-5-5
Published Online: 2015-6-1
Published in Print: 2015-6-28

©2015 Walter de Gruyter Berlin/Boston

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