Directional change in multivariable LQG control with actuator failure

• Autorzy: Horla D.

Identyfikatory

DOI

10.1515/bpasts-2017-0047

• Języki publikacji: EN

Abstrakty

EN

The paper presents the phenomenon of directional change in LQG control of multivariable systems with amplitude constraints, as well as the impact of the latter on control performance. The interplay of directional change of the computed control vector with control performance has been thoroughly investigated, and is a result of the presence of constraints imposed on the applied control vector for different proportions of the number of control inputs to plant outputs. The impact of directional change phenomenon on the control performance has been defined, stating that performance deterioration is not tightly coupled with preservation of direction of the computed control vector. The statement has been supported by numerous simulation results for different types of plants with different LQG controller parameters.

Słowa kluczowe

EN

directional change; actuator failure; windup phenomenon

PL

LQG; siłownik

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2017
• Tom: Vol. 65, nr 4
• Strony: 419--428
• Opis fizyczny: Bibliogr. 16 poz., wykr., rys.

Twórcy

autor

Horla D.

• Faculty of Electrical Engineering, Poznan University of Technology, 3A Piotrowo St., 60-965 Poznan, Poland

Bibliografia

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• [3] L. Xie and Y.C. Soh, “Guaranteed cost control of uncertain discrete-time systems”, Control Theory and Advanced Technology 10, 1235–1251 (1995).
• [4] Y. Yang, G.-H. Yang, and Y.C. Soh, “Reliable control of discrete-time systems with actuator failures”, IEE Proceedings – Control Theory and Applications 147 (4), 428–432 (2000).
• [5] T. Hu and Z. Lin, Control Systems with Actuator Saturation: Analysis and Design, Birkhäuser, Boston, 2001.
• [6] S. Tarbouriech and J. Gomes da Silva, “Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs”, IEEE Transactions on Automatic Control 45 (1), 105–111 (2000).
• [7] J.M. Maciejowski, Multivariable Feedback Design, Addison-Wesley Publishing Company, Cambridge, 1989.
• [8] J.M. Maciejowski, Predictive Control with Constraints, Pearson Education Limited, Harlow, 2002.
• [9] P. Albertos and A. Sala, Multivariable Control Systems, Springer, London, 2002.
• [10] D. Horla, “Directional change issues in LQG control with actuator failure”, Proceedings of the 7th IFAC Conference on Manufacturing Modelling, Management and Control MIM’2013, 1810–1814 (2013).
• [11] D. Horla, R. Lewandowski, A. Schmidt, M. Kraft, and W. Giernacki, “Active vibration reduction system optimal control using linear matrix inequalities with no directional change in controls”, Asian Journal of Control 15 (6), 1571–1578 (2013).
• [12] D. Horla, “On directional change and anti-windup compensation in multivariable control systems”, International Journal of Applied Mathematics and Computer Science 19 (2), 281–289 (2009).
• [13] G.-H. Yang, J.L. Wang, and Y.C. Soh, “Reliable LGQ control with sensor failures”, IEE Proceedings – Control Theory and Applications 147 (4), 433–439 (2000).
• [14] D. Horla and A. Królikowski, “Discrete-time LQG control with actuator failure”, Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics 1, 517–521 (2011).
• [15] A. Owczarkowski and D. Horla, “Robust LQR and LQI control with actuator failure of a 2DOF unmanned bicycle robot stabilized by an inertial wheel”, International Journal of Applied Mathematics and Computer Science 26 (2), 325–334 2016.
• [16] D. Horla, “Interplay of directional change in controls and windup phenomena. Analysis and synthesis of compensators”, PhD thesis, Poznan University of Technology, Poznan 2012

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).