Directional change and windup phenomena in LQR-controlled systems with actuator failure

• Autorzy: Horla D.

Identyfikatory

DOI

10.24425/119645

• Języki publikacji: EN

Abstrakty

EN

The paper presents a phenomenon of directional change in the case of a LQR controller applied to multivariable plants with amplitude and rate constraints imposed on the control vector, as well as the impact of the latter on control performance, with the indirect observation of the windup phenomenon effect via frequency of consecutive resaturations. The interplay of directional change of the computed control vector with control performance has been thoroughly investigated, and it is a result of the presence of constraints imposed on the applied control vector for different ratios of the number of control inputs to plant outputs. The impact of the directional change phenomenon on the control performance (and also on the windup phenomenon) has been defined, stating that performance deterioration is not tightly coupled with preservation of direction of the computed control vector. This conjecture has been supported by numerous simulation results for different types of plants with different LQR controller parameters.

Słowa kluczowe

EN

directional change; windup phenomenon; actuator failure

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2018
• Tom: Vol. 67, nr 2
• Strony: 345–--359
• Opis fizyczny: Bibliogr. 15 poz., rys., tab., wz.

Twórcy

autor

Horla D.

• Poznan University of Technology, Faculty of Electrical Engineering Institute of Control, Robotics and Information Engineering ul. Piotrowo 3a, 60-965 Poznań, Poland

Bibliografia

• [1] Albertos P., Sala A., Multivariable Control Systems, Springer (2002).
• [2] Giernacki W., Near to Optimal Design of PIl Dm Fractional-Order Speed Controller (FOPID) for Multirotor Motor-rotor Simplified Model, 17th International Conference on Unmanned Aircraft Systems, Arlington, pp. 320–326 (2016).
• [3] Horla D., On directional change and anti-windup compensation in multivariable control systems, International Journal of Applied Mathematics and Computer Science, vol. 19, no. 2, pp. 281–289 (2009).
• [4] Horla D., Królikowski A., Discrete-time LQG Control with Actuator Failure, 8th International Conference on Informatics in Control, Automation and Robotics, Noordwijkerhout, CD-ROM (2011).
• [5] Hu T., Lin Z., Control systems with actuator saturation: Analysis and design, Birkhäuser, (2001).
• [6] Maciejowski J.M., Multivariable Feedback Design, Addison-Wesley Publishing Company (1989).
• [7] Maciejowski J.M., Predictive Control with Constraints, Pearson Education Limited (2002).
• [8] Mahmoud M.S., Resilietn Control of Unvertain Dynamical Systems, Springer (2004).
• [9] Petersen I.R., McFarlane D.C., Optimizing the guaranteed cost in the control of uncertain systems, in Mansour M., Balemi S., Truol W. (Eds.), Robustness of dynamical systems with parameter uncertainties, Brikhäuser (1992).
• [10] Tarbouriech S., Gomes da Silva, J., Synthesis of controllers for continuoustime delay systems with saturating controls via LMIs, IEEE Transactions on Automatic Control, vol. 45, no. 1, pp. 105–111 (2000).
• [11] Xie L., Soh Y.C., Guaranteed cost control of uncertain discrete-time systems, Control Theory and Advanced Technology, vol. 10, pp. 1235–1251 (1995).
• [12] Yang Y., Yang G.-H., Soh Y.C., Reliable Control of Discrete-time Systems with Actuator Failures, IEE Proceedings – Control Theory and Applications, vol. 147, no. 4, pp. 428–432 (2000).
• [13] Yang G.-H., Wang J.L., Soh Y.C., Reliable LQG Control with Sensor Failures, IEE Proceedings – Control Theory and Applications, vol. 147, no. 4, pp. 433–439 (2000).
• [14] Ziętkiewicz J., Non-minimum Phase Properties and Feedback Linearization Control of Nonlinear Chemical Reactor, 20th International Conference on Methods and Models in Automation and Robotics, CD-ROM (2015).
• [15] Zuo Z., Ho D.W.C., Wang Y., Fault Tollerant Control for Singular Systems with Actuator Saturation and Nonlinear Perturbation, Automatica, vol. 46, pp. 569–576 (2010).

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).