Abstract
A robust nonlinear analytical redundancy (RNLAR) technique is presented to detect and isolate actuator and sensor faults in a mobile robot. Both model-plant-mismatch (MPM) and process disturbance are considered during fault detection. The RNLAR is used to design primary residual vectors (PRV), which are highly sensitive to the faults and less sensitive to MPM and process disturbance, for sensor and actuator fault detection. The PRVs are then transformed into a set of structured residual vectors (SRV) for fault isolation. Experimental results on a Pioneer 3-DX mobile robot are presented to justify the effectiveness of the RNLAR scheme.
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References
R. Isermann. Process Fault Detection Based on Modeling and Estimation Methods — A Survey. Automatica, vol. 20, no. 3, pp. 387–404, 1984.
J. J. Gertler. Analytic Redundancy Methods in Fault Detection and Isolation — Survey and Synthesis. In Proceedings of IFAC Safeprocess Conference, Baden-Baden, Germany, vol. 1, pp. 9–22, 1991.
P. M. Frank, X. Ding. Survey of Robust Residual Generation and Evaluation Method in Observer-based Fault Detection System. Journal of Process Control, vol. 7, no. 6, pp. 403–424, 1997.
J. J. Gertler. Fault Detection and Diagnosis in Engineering systems, 1st ed., Marcel Dekker Inc., New York, 1998.
R. V. Bread. Failure Accommodation in Linear Systems through Self-reorganization, Ph.D. dissertation, Massachusetts Institute of Technology, Cambridge, MA, 1971.
J. Chen, R. J. Patton. Robust Model-based Fault Diagnosis for Dynamic Systems, Kluwer Academic Press, Dordrecht, 1999.
M. M. Polycarpou, A. B. Trunov. Learning Approach to Nonlinear Fault Diagnosis: Detectability Analysis. IEEE Transactions on Automatic Control, vol. 45, no. 4, pp. 806–812, 2000.
M. Junzheng, W. Shoukun. Robust Fault Detection Using Iterative Learning Observer for Nonlinear Systems. In Proceedings of 5th World Conference on Intelligent Control and Automation, Hangzhou, China, 2004.
E. Chow, A. Willsky. Analytic Redundancy and the Design of Robust Failure Detection Systems. IEEE Transactions on Automatic Control, vol. 29, no. 7, pp. 603–614, 1984.
J. Gertler, D. Singer. A New Structural Framework for Parity Equation Based Failure Detection and Isolation. Automatica, vol. 26, no. 2, pp. 381–388, 1990.
J. Gertler, M. Kunwer. Optimal Residual Decoupling for Robust Fault Diagnosis. International Journal of Control, vol. 61, no. 2, pp. 395–421, 1995.
W. Li, S. L. Shah. Structured Residual Vector-based Approach to Sensor Fault Detection and Isolation. Journal of Process Control, vol. 12, no. 3, pp. 429–443, 2001.
Z. Han, W. Li, S. L. Shah. Fault Detection and Isolation in the Presence of Process Uncertainties. Control Engineering Practice, vol. 13, no. 5, pp. 587–599, 2005.
M. L. Leuschen, I. D. Walker, J. R. Cavallaro. Fault Residual Generation via Nonlinear Analytic Redundancy. IEEE Transactions on Control Systems Technology, vol. 13, no. 3, pp. 452–458, 2005.
A. Shumsky. Robust Analytical Redundancy Relations for Fault Diagnosis in Nonlinear Systems. Asian Journal of Control, vol. 4, no. 2, pp. 159–170, 2002.
B. Halder, N. Sarkar. Robust Fault Detection Based on Nonlinear Analytic Redundancy Techniques with Application to Robotics. In Proceedings of International Mechanical Engineer Congress and Exposition, Orlando, Florida, pp. 2864–2869, 2005.
B. P. Gerkey, R. T. Vaughan, A. Howard. The Player/Stage Project: Tools for Multi-robot and Distributed Sensor Systems. In Proceedings Of International Conference on Advanced Robotics, Coimbra, Portugal, pp. 317–323, 2003.
A. D. Luca, R. Mattone. Actuator Failure Detection Isolation Using Generalized Momenta. In Proceedings Of International Conference on Robotics and Automation, Taipei, pp. 562–567, 2003.
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This work was supported by Army Research Office (No. DAAD19-02-1-0160) and Office of Naval Research (No. N00014-03-1-0052 and N00014-06-1-0146).
Bibhrajit Halder graduated from the Department of Mechanical Engineering at the Birla Institute of Technology (BIT), Mesra, India, in 2000. He received his M.S. degrees in mechanical engineering and applied mathematics from the Ohio University, Athens, USA, in 2002 and 2003 respectively, and the Ph.D. degree from the Vanderbilt University, Nashville, USA, in 2006. He is currently a postdoctoral researcher at the Tennessee State University, Nashville, USA.
His research interest include autonomous control of robotic systems, fault detection and isolation, image processing, and applied mathematics.
Nilanjan Sarkar received his Ph.D. degree from the University of Pennsylvania, USA, in 1993. He then joined Queen’s University, Canada as a postdoctoral fellow and later University of Hawaii as an assistant professor before moving to Vanderbilt University in 2000. He is currently an associate professor of mechanical engineering, and computer engineering at Vanderbilt University.
His research interests include dynamics and control of robotic systems, fault tolerant control, and human-robot interaction.
Dr. Sarkar is currently an associate editor for Journal of Intelligent Systems and Robotics, and Journal of Advanced Robotic Systems. He has previously served as an associate editor for IEEE Transactions on Robotics and as a guest editor for IEEE/ASME Transactions on Mechatronics.
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Halder, B., Sarkar, N. Robust nonlinear analytic redundancy for fault detection and isolation in mobile robot. Int J Automat Comput 4, 177–182 (2007). https://doi.org/10.1007/s11633-007-0177-2
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DOI: https://doi.org/10.1007/s11633-007-0177-2