Current Science

Open Access Open Access  Restricted Access Subscription Access

An Observer-Based Fault-Tolerant Controller for Flexible Buildings-Based on Linear Matrix Inequality Approach


Affiliations
1 School of Civil and Environment Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
2 Department of Civil and Environmental Engineering, University of Surrey, Guildford, GU2 7XH, United Kingdom
 

Since failures in sensors degrade the performance of active mass damper (AMD) control systems, a dynamic filter design method, a state observer design method and a robust control strategy are developed and presented in this paper to overcome this deficiency. The filter design method is transformed into a H2/H∞ control problem that is solved by linear matrix inequality approach. Thus, it is used to perform fault detection and isolation (FDI) for the control systems. The state observer design method uses the acceleration responses as the feedback signal. The detected and isolated fault signals in accelerometers are used to estimate the whole states, that are used to calculate the control force though a robust control strategy based on regional pole-assignment algorithm. Then, the active fault-tolerant control (FTC) is accomplished. To verify its effectiveness, the proposed methodology is applied to a numerical example of a tenstorey frame and an experiment of a single span fourstorey steel frame. Both numerical and experimental results demonstrate that the performances of FTC controller and the control system are improved by the designed dynamic FDI filter to effectively detect and isolate fault signal.

Keywords

AMD Control System, Fault-Tolerant Control, Flexible Buildings, Fault Detection and Isolation, State Observer.
User
Notifications
Font Size

  • Cao, H., Reinhorn, A. M. and Soong, T. T., Design of an active mass damper for a tall TV tower in Nanjing, China. Eng. Struct., 1998, 20, 134–143.

  • Yamamoto, M., Aizawa, S., Higashino, M. and Toyama, K., Practical applications of active mass dampers with hydraulic actuator. Earthq. Eng. Struct. D, 2001, 30, 1697–1717.

  • Ricciardelli, F., Pizzimenti, A. D. and Mattei, M., Passive and active mass damper control of the response of tall buildings to wind gustiness. Eng. Struct., 2003, 25, 1199–1209.

  • Ikeda, Y., Sasaki, K., Sakamoto, M. and Kobori, T., Active mass driver system as the first application of active structural control. Earthq. Eng. Struct. D, 2001, 30, 1575–1595.

  • Basu, B. et al., A European association for the control of structures joint perspective. Recent studies in civil structural control across Europe. Struct. Control Hlth., 2014, 21, 1414–1436.

  • Chen, J. and Patton, R. J., Robust Model-based Fault Diagnosis for Dynamics Systems, Kluwer Academic Publishers, Boston, 1999.

  • Zhang, Y. M. and Jiang, J., Integrated active fault-tolerant control using IMM approach. IEEE T Aero Elec. Syst., 2001, 37, 1221–1235.

  • Polycarpou, M. M., Fault accommodation of a class of multivariable nonlinear dynamical systems. IEEE Trans. Automat. Contr., 2001, 5, 736–742.

  • Marx, B., Koenig, D. and Georges, D., Robust fault-tolerant control for descriptor systems. IEEE Trans. Automat Contr., 2004, 49, 1869–1875.

  • Mehra, R. K. and Peschon, J., Innovations approach to fault detection and diagnosis in dynamic systems. Automatica, 1971, 7, 637.

  • Shao, S., Watson, A. J., Clare, J. C. and Wheeler, P. W., Robustness analysis and experimental validation of a fault detection and isolation method for the modular multilevel converter. IEEE Trans. Power Electr., 2016, 31, 3794–3805.

  • Rios, H., Davila, J., Fridman, L. and Edwards, C., Fault detection and isolation for nonlinear systems via high-order-sliding-mode multiple-observer. Int. J. Robust Nonlin., 2015, 25, 2871–2893.

  • Smarsly, K. and Law, K. H., Decentralized fault detection and isolation in wireless structural health monitoring systems using analytical redundancy. Adv. Eng. Softw., 2014, 73, 1–10.

  • Zhang, Z. and Jaimoukha, I. M., On-line fault detection and isolation for linear discrete-time uncertain systems. Automatica, 2014, 50, 513–518.

  • Teng, J., Xing, H. B., Xiao, Y. Q., Liu, C. Y., Li, H. and Ou, J. P., Design and implementation of AMD system for response control in tall buildings. Smart Struct. Syst., 2014, 13, 235–255.

  • Teng, J., Xing, H. B., Lu, W., Li, Z. H. and Chen, C. J., Influence analysis of time delay to active mass damper control system using pole assignment method. Mech. Syst. Signal Process., 2016, 80, 99–116.

  • Jeon, S. and Tomizuka, M., Benefits of acceleration measurement in velocity estimation and motion control. Control Eng. Pract., 2007, 15, 325–332.

  • Song, G. B., Kelly, B., Agrawal, B. N., Lam, P. C. and Srivatsan, T. S., Application of shape memory alloy wire actuator for precision position control of a composite beam. J. Mater. Eng. Perform, 2000, 9, 330–333.

  • Wang, Y., Time-delayed dynamic output feedback H∞ controller design for civil structures: A decentralized approach through homotopic transformation. Struct. Control Hlth., 2011, 18, 121–139.

  • Caliskan, F. and Hajiyev, C., Aircraft sensor fault diagnosis based on Kalman filter innovation sequence. Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 1998, pp. 1313–1314.

  • Commault, C., Dion, J. M., Senante, O. and Motyeian, R., Observerbased fault detection and isolation for structured systems. IEEE Trans. Automat. Contr., 2002, 47, 2074–2079.

  • Saif, M. and Guan, Y. A new approach to robust fault-detection and identification. IEEE Trans. Aerosp. Electron. Syst., 1993, 29, 685–695.

  • Boyd, S., Ghaoui, L. E., Feron, E. and Balakrishnan, V., Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics, Philadelphia, Pennsylvania, 1994.

  • Yu, L., Robust Control-Linear Matrix Inequalities Approach, Tsinghua University Press, Beijing, 2002.

  • Haddad, W. M. and Bernstein, D. S., Controller-design with regional pole constraints. IEEE Trans. Automat. Contr., 1992, 37, 54–69.

  • Gao, Z. and Ding, S. X., State and disturbance estimator for timedelay systems with application to fault estimation and signal compensation. IEEE Trans. Signal Process, 2007, 55, 5541–5551.

  • Gahinet, P. and Apkarian, P., A linear matrix inequality approach to h∞ control. Int. J. Robust Nonlin., 1994, 4, 421–448.

  • Clough, R. W. and Penzien, J., Dynamics of Structures, US: McGraw-Hill Inc, 1975.

  • Hannan, E. J., The identification of vector mixed autoregressivemoving average system. Biometrika, 1969, 56, 223–225.


Abstract Views: 486

PDF Views: 124




  • An Observer-Based Fault-Tolerant Controller for Flexible Buildings-Based on Linear Matrix Inequality Approach

Abstract Views: 486  |  PDF Views: 124

Authors

Chaojun Chen
School of Civil and Environment Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
Zuohua Li
School of Civil and Environment Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
Jun Teng
School of Civil and Environment Engineering, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
Ying Wang
Department of Civil and Environmental Engineering, University of Surrey, Guildford, GU2 7XH, United Kingdom

Abstract


Since failures in sensors degrade the performance of active mass damper (AMD) control systems, a dynamic filter design method, a state observer design method and a robust control strategy are developed and presented in this paper to overcome this deficiency. The filter design method is transformed into a H2/H∞ control problem that is solved by linear matrix inequality approach. Thus, it is used to perform fault detection and isolation (FDI) for the control systems. The state observer design method uses the acceleration responses as the feedback signal. The detected and isolated fault signals in accelerometers are used to estimate the whole states, that are used to calculate the control force though a robust control strategy based on regional pole-assignment algorithm. Then, the active fault-tolerant control (FTC) is accomplished. To verify its effectiveness, the proposed methodology is applied to a numerical example of a tenstorey frame and an experiment of a single span fourstorey steel frame. Both numerical and experimental results demonstrate that the performances of FTC controller and the control system are improved by the designed dynamic FDI filter to effectively detect and isolate fault signal.

Keywords


AMD Control System, Fault-Tolerant Control, Flexible Buildings, Fault Detection and Isolation, State Observer.

References





DOI: https://doi.org/10.18520/cs%2Fv114%2Fi02%2F341-354