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Integrated Fault Detection and Robust Control for Linear Uncertain Switched Systems with Mode-Dependent Time-Varying State Delay | ||
Control and Optimization in Applied Mathematics | ||
مقاله 1، دوره 7، شماره 2، اسفند 2022، صفحه 1-34 اصل مقاله (1.29 M) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.30473/coam.2022.62848.1192 | ||
نویسندگان | ||
Sayyed Hossein Ejtahed؛ Naser Pariz* ؛ Ali Karimpour | ||
Department of Electrical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box. 91779-48974, Mashhad, Iran. | ||
چکیده | ||
Switched linear systems are noted as a major category of control systems. Fault detection of these systems is affected by switching phenomena and therefore their integrated fault detection and robust control (IFDRC) are the central issues of recent studies. Existing studies on IFDRC do not consider the effects of all of the parameter uncertainties, input disturbance, and mode-dependent time-varying state delay in the presence of mode-dependent average dwell time (MDADT) switching together in these systems. To address the issue based on output feedback, in this paper, the IFDRC design problem is formulated as a multi-objective or mixed H∞/H- optimization problem. H∞ performance indicator guarantees the robustness of residual to disturbance, and H- performance represents the sensitivity index of residual to the fault. A piecewise Lyapunov-Krasovskii function is employed together with the MDADT scheme and therefore, sufficient conditions are derived in terms of linear matrix inequalities (LMIs) in order to deal with the problem. Then to clarify the design procedure, we also present an algorithm in the light of the proposed approach. Eventually, to illustrate the efficiency of the suggested approach, the designed IFDRC framework is simulated for a case study of an Electrical Circuit system. | ||
کلیدواژهها | ||
Integrated fault detection and control؛ Switched systems؛ Uncertainty؛ Variable state delay | ||
مراجع | ||
[1] Andersen, E.D., Andersen, K.D. (2000). “The Mosek interior-point optimizer for linear programming: An implementation of the homogeneous algorithm”, in High Performance Optimization, 33, H. Frenk, K. Roos, T. Terlaky, S. Zhang, Eds. Boston, MA: Springer US, 197-232.
[2] Benzaouia, A., Eddoukali, Y. (2018). “Robust fault detection and control for continuous-time switched systems with average dwell time”, Circuits Syst Signal Process, 37(6), 2357-2373.
[3] Bhattacharya, R. “An introduction to linear matrix inequalities (LMI)”, Aerospace Engineering, Texas A& M University.
[4] Blondel V., Megretski, A., Eds. (2004). “Unsolved problems in mathematical systems and control theory”, Princeton, NJ: Princeton Univ. Press.
[5] Davoodi, M.R., Golabi, A., Talebi, H.A., Momeni H. R. (2012). “Simultaneous fault detection and control design for switched linear systems: A linear matrix inequality approach”, Journal of Dynamic Systems, Measurement, and Control, 134(6), 061010.
[6] Davoodi, M.R., Golabi, A., Talebi, H.A., Momeni H.R. (2013). “Simultaneous fault detection and control design for switched linear systems based on dynamic observer”, Optimal Control Applications and Methods, 34(1), 35-52.
[7] Davoodi, M., Meskin, N., Khorasani, K. (2018). “Integrated fault diagnosis and control design of linear complex systems”.
[8] Davoodi, M.R., Talebi, H.A., Momeni, H.R. (2011). “A novel simultaneous fault detection and control approach based on dynamic observer”, IFAC Proceedings Volumes, 44(1), 12036-12041.
[9] Du, D., Jiang, B., Shi, P., Karimi, H.R. (2014). “Fault detection for continuous-time switched systems under asynchronous switching”, International Journal of Robust Nonlinear Control, 24(11), 1694-1706.
[10] Eddoukali, Y., Benzaouia, A., Ouladsine, M. (2019). “Integrated fault detection and control design for continuous-time switched systems under asynchronous switching”, ISA Transactions, 84, 12-19.
[11] Elahi, A., Alfi ,A. (2017). “Finite-time H∞control of uncertain networked control systems with randomly varying communication delays”, ISA Transactions, 69, 65-88.
[12] Ghalehnoie, M. (2020). “Ultimate boundedness control for uncertain nonlinear impulsive switched systems: A fuzzy approach based on a complete Takagi–Sugeno structure”, Journal of Control, Automation and Electrical Systems, 31(2), 271-282.
[13] Hajshirmohamadi, S., Davoodi, M. (2015). “Comments on: Fault detection for continuous-time switched systems under asynchronous switching”, International Journal of Robust Nonlinear Control, 25(15), 2865-2868.
[14] Iftikhar, K., Khan, A.Q., Abid, M. (2015). “Optimal fault detection filter design for switched linear systems”, Nonlinear Analysis: Hybrid Systems, 15, 132-144.
[15] Ishihara, J.Y., Kussaba, H.T.M., Borges, R.A. (2017). “Existence of continuous or constant Finsler’s variables for parameter-dependent systems”, IEEE Transactions on Automatic Control, 62(8), 4187-4193.
[16] Li, Z., Mazars, E., Zhang, Z., Jaimoukha, I.M. (2012). “State-space solution to the H−/H∞ fault-detection problem”, International Journal of Robust Nonlinear Control, 22(3), 282-299.
[17] Li, J., Yang, G.H. (2013). “Simultaneous fault detection and control for switched systems under asynchronous switching”, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 227(1), 70-84.
[18] Liberzon, D. (2003). “Switching in systems and control”, Boston, Birkhäuser.
[19] Liu, X. (2010). “Stabilization of switched linear systems with mode-dependent time-varying delays”, Applied Mathematics and Computation, 216(9), 2581-2586.
[20] Liu, X., Zhai, D., He, D.K., Chang, X.H. (2018). “Simultaneous fault detection and control for continuous-time Markovian jump systems with partially unknown transition probabilities”, Applied Mathematics and Computation, 337, 469-486.
[21] Ning, Z., Yu, J., Wang, T. (2017). “Simultaneous fault detection and control for uncertain discrete-time stochastic systems with limited communication”, Journal of the Franklin Institute, 354(17), 7794-7811.
[22] Ramezani-al, M. R., Kamyad, A. V., Pariz, N. (2016). “A new switching strategy design for uncertain switched linear systems based on min-projection strategy in guaranteed cost control problem”, IMA Journal of Mathematical Control and Information, 33(4), 1033-1049.
[23] Raza, M.T., Khan, A.Q., Mustafa, G., Abid, M. (2016). “Design of fault detection and isolation filter for switched control systems under Asynchronous Switching”, IEEE Transactions on Control Systems Technology, 24(1), 13-23.
[24] Shokouhi-Nejad, H., Ghiasi, A.R., Badamchizadeh, M.A. (2017). “Robust simultaneous finite-time control and fault detection for uncertain linear switched systems with time-varying delay”, IET Control Theory & Applications, 11(7), 1041-1052.
[25] Shokouhi-Nejad, H., Ghiasi, A.R., Badamchizadeh, M.A., Pezeshki, S. (2019). “H∞/H- Simultaneous fault detection and control for continuous-time linear switched delay systems under asynchronous switching”, Transactions of the Institute of Measurement and Control, 41(1), 263-275.
[26] Shokouhi-Nejad, H., Rikhtehgar Ghiasi, A., Badamchizadeh, M.A. (2017). “Robust simultaneous fault detection and control for a class of nonlinear stochastic switched delay systems under asynchronous switching”, Journal of the Franklin Institute, 354(12), 4801-4825.
[27] Soltani, H., Naoui, S.B.H.A., Aitouche, A., Harabi, R.E., Abdelkrim, M.N. (2015). “Robust simultaneous fault detection and control approach for time-delay systems”, IFAC-PapersOnLine, 48(21), 1244-1249.
[28] Su, Q., Fan, Z., Li, J. (2019). “H∞/H-fault detection for switched systems with all subsystems unstable”, IET Control Theory & Applications, 13(12), 1796-1803.
[29] Su, Q., Fan, Z., Li, J. (2019). “Observer-based fault detection for switched systems with all unstable subsystems”, Journal of Control and Decision, 1-14.
[30] Wang, J., Shen, Y., Wang, Z. (2016). “H −/H∞ asynchronous fault detection filter design for switched systems with time-varying delays”, in 2016 35th Chinese Control Conference
(CCC), Chengdu, China, Jul., 6690-6697.
[31] Wu, L., Lam, J. (2009). “Weighted H∞ filtering of switched systems with time-varying delay: Average Dwell time approach”, Circuits System Signal Process, 28(6), 1017-1036.
[32] Yang, G.H., Wang, H. (2009). “Simultaneous fault detection and control for uncertain linear discrete-time systems”, IET Control Theory & Applications, 3(5), 583-594.
[33] Zhai, D., Lu, A.Y., Li, J.H., Zhang, Q.L. (2016). “Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time”, Applied Mathematics and Computation, 273, 767-792.
[34] Zhao, X., Zhang, L., Shi, P., Liu, M. (2012). “Stability and stabilization of switched linear systems with mode-dependent average dwell-time”, IEEE Transactions on Automatic Control, 57(7), 1809-1815.
[35] Zhao, X.Q., Zhao, J. (2015). “Asynchronous fault detection for continuous-time switched delay systems”, Journal of the Franklin Institute, 352(12), 5915-5935.
[36] Zhang, L., Cui, N., Liu, M., Zhao, Y. (2011). “Asynchronous filtering of discrete-time switched linear systems with average dwell time”, IEEE Transactions on Circuits and Systems I, 58(5), 1109-1118.
[37] Zhong, Y., Chen, T., Chen, C. (2015). “Robust fault estimation for uncertain switched linear systems with time-varying delay”, Journal of Central South University, 22(11), 4254-4262.
[38] Zhong, G.X., Yang, G.H. (2015). “Robust control and fault detection for continuous-time switched systems subject to a dwell-time constraint”, International Journal of Robust and Nonlinear Control, 25(18), 3799-3817.
[39] Zhong, G.X., Yang, G.H. (2016). “Simultaneous control and fault detection for discrete-time switched delay systems under the improved persistent dwell-time switching”, IET Control Theory & Applications, 10(7), 814-824.
[40] Zhu, K., Zhao, J. (2017). “Simultaneous fault detection and control for switched LPV systems with inexact parameters and its application”, International Journal of Systems Science, 48(14), 2909-2920.
[41] Zhuang, G., Xia, J., Chu, Y., Chen, F. (2014). “H∞ mode-dependent fault detection filter design for stochastic Markovian jump systems with time-varying delays and parameter uncertainties”, ISA Transactions, 53(4), 1024-1034. | ||
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