Abstract
The paper deals with the problem of simultaneous actuator and sensor fault estimation for linear dynamic systems on which influence unknown exogenous disturbances. The most common approach of dealing with fault estimation approach is that either actuator or sensor fault estimation schemes are provided in the literature. This paper proposes a kind of a fusion of those approaches which results with the capability of estimation of actuator and sensor faults which might appear in the system simultaneously. The novelty relies on that the unwelcome rate of change of the fault factor is vanished which simplifies the design problem. The methodology utilized in the paper to attain the robustness is the so-called Quadratic boundedness approach. In the final part of the paper, the illustrative example with the implementation to the laboratory Multi-Tank system is provided which shows the performance of the proposed approach.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Alessandri, A., Baglietto, M., Battistelli, G.: Design of state estimators for uncertain linear systems using quadratic boundedness. Automatica 42(3), 497–502 (2006)
Aouaouda, S., Chadli, M.: Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation. Int. J. Syst. Sci. 50(6), 1163–1178 (2019)
Ashfaque, B.S., Tsakalis, K.: Discrete-time PID controller tuning using frequency loop-shaping. IFAC Proceed. Vol. 45(3), 613–618 (2012)
Boyd, S., Feron, E., Ghaoui, L.E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia (1994)
Ding, B.: Constrained robust model predictive control via parameter-dependent dynamic output feedback. Automatica 46(9), 1517–1523 (2010)
Ding, B.: Dynamic output feedback predictive control for nonlinear systems represented by a Takagi-Sugeno model. IEEE Trans. Fuzzy Syst. 19(5), 831–843 (2011)
Fadhilah, H.N., Adzkiya, D., Arif, D.K., Zhai, G., et al.: Decentralized static output feedback controller design for linear interconnected systems. Int. J. Appl. Math. Comput. Sci. 33(1), 83–96 (2023)
Gao, Z., Ding, S.X., Cecati, C.: Real-time fault diagnosis and fault-tolerant control. IEEE Trans. Industr. Electron. 62(6), 3752–3756 (2015)
He, W., Meng, T., He, X., Ge, S.S.: Unified iterative learning control for flexible structures with input constraints. Automatica 96, 326–336 (2018)
Ijaz, S., Yan, L., Hamayun, M.T., Baig, W.M., Shi, C.: An adaptive LPV integral sliding mode FTC of dissimilar redundant actuation system for civil aircraft. IEEE Access 6, 65960–65973 (2018)
INTECO: Multitank System - User’s manual. INTECO. http://www.inteco.com.pl/ (2013)
Kantue, P., Pedro, J.O.: Integrated fault-tolerant control of a quadcopter UAV with incipient actuator faults. Int. J. Appl. Math. Comput. Sci. 32(4), 601–617 (2022)
Kukurowski, N., Pazera, M., Witczak, M.: Fault-tolerant tracking control for a descriptor system under an unknown input disturbances. Electronics 10(18), 2247 (2021)
Lamouchi, R., Raissi, T., Amairi, M., Aoun, M.: Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems. Trans. Instit. Measure. Control 44, 01423312211040370 (2021)
Lan, J., Patton, R.J.: Robust integration of model-based fault estimation and fault-tolerant control. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-58760-4
Liu, M., Shi, P.: Sensor fault estimation and tolerant control for itô stochastic systems with a descriptor sliding mode approach. Automatica 49(5), 1242–1250 (2013)
Lunze, J., Lehmann, D.: A state-feedback approach to event-based control. Automatica 46(1), 211–215 (2010)
O’Dwyer, A.: An overview of tuning rules for the pi and PID continuous-time control of time-delayed single-input, single-output (SISO) processes. In: Vilanova, R., Visioli, A. (eds.) PID Control in the Third Millennium. Advances in Industrial Control. Springer, London (2012). https://doi.org/10.1007/978-1-4471-2425-2_1
Owens, D.H., Feng, K.: Parameter optimization in iterative learning control. Int. J. Control 76(11), 1059–1069 (2003)
Pazera, M., Buciakowski, M., Witczak, M.: Robust multiple sensor fault-tolerant control for dynamic non-linear systems: application to the aerodynamical twin-rotor system. Int. J. Appl. Math. Comput. Sci. 28(2), 297–308 (2018)
Pazera, M., Witczak, M., Korbicz, J.: Combined estimation of actuator and sensor faults for non-linear dynamic systems. In: 2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 933–938. IEEE (2017)
Pazera, M., Witczak, M., Kukurowski, N.: Robust unknown input observer design for simultaneous actuator and sensor faults. In: 2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR), pp. 366–371. IEEE (2019)
Pazera, M., Witczak, M., Kukurowski, N., Buciakowski, M.: Towards simultaneous actuator and sensor faults estimation for a class of Takagi-Sugeno fuzzy systems: a twin-rotor system application. Sensors 20(12), 3486 (2020)
Rotondo, D., Witczak, M., Puig, V., Nejjari, F., Pazera, M.: Robust unknown input observer for state and fault estimation in discrete-time Takagi-Sugeno systems. Int. J. Syst. Sci. 47(14), 1–16 (2016)
Van, M., Ge, S.S., Ren, H.: Robust fault-tolerant control for a class of second-order nonlinear systems using an adaptive third-order sliding mode control. IEEE Trans. Syst. Man Cybern. Syst. 47(2), 221–228 (2016)
Witczak, M.:Fault Diagnosis and Fault-Tolerant Control Strategies for Non-Linear Systems. Volume 266 of Lectures Notes in Electrical Engineering. Springer International Publisher, Springer, Cham (2014), https://doi.org/10.1007/978-3-319-03014-2
Witczak, M., Buciakowski, M., Mrugalski, M.: An \(\cal{H}_\infty \) approach to fault estimation of non-linear systems: Application to one-link manipulator. In: 19th International Conference On Methods and Models in Automation and Robotics (MMAR) 2014, pp. 456–461. IEEE (2014)
Yin, S., Luo, H., Ding, S.X.: Real-time implementation of fault-tolerant control systems with performance optimization. IEEE Trans. Industr. Electron. 61(5), 2402–2411 (2013)
Zhang, Z., Yang, Z., Liu, S., Chen, S., Zhang, X.: A multi-model based adaptive reconfiguration control scheme for an electro-hydraulic position servo system. Int. J. Appl. Math. Comput. Sci. 32(2), 185–196 (2022)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Pazera, M., Witczak, M., Korbicz, J. (2023). A Multiple Actuator and Sensor Fault Estimation for Dynamic Systems. In: Pawelczyk, M., Bismor, D., Ogonowski, S., Kacprzyk, J. (eds) Advanced, Contemporary Control. PCC 2023. Lecture Notes in Networks and Systems, vol 708. Springer, Cham. https://doi.org/10.1007/978-3-031-35170-9_23
Download citation
DOI: https://doi.org/10.1007/978-3-031-35170-9_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-35169-3
Online ISBN: 978-3-031-35170-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)