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fault tolerant control; sliding mode control; time varying state-delay; uncertainty; linear matrix inequality
Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some linear matrix inequalities (LMIs), delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can be seen as a fault tolerant controller, can retain the stability of the closed loop system in the present of uncertainties, disturbances and actuator fault is designed. A numerical simulation shows the effectiveness of the approach.
[1] Cheng C., Zhao Q.: Reliable control of uncertain delayed systems with integral quadratic constraints. IEE Proc. Control Theory Appl. 151 (2004), 790–796 MR 2015787
[2] Edwards, Ch., Tan C. P.: Fault tolerant control using sliding mode observers. In: Conference on Decision and Control. Tlantis, Paradise Island, 2004, pp. 5254–5259
[3] Gouaisbaut F., Dambrine, M., Richard J. P.: Robust control of delay systems: a sliding mode control design via LMI. Systems Control Lett. 46 (2002), 219–230 MR 2010239 | Zbl 0994.93004
[4] Hu K. J., Basker V. R., Crisalle O. D.: Sliding mode control of uncertain input-delay systems. In: Proc. American Control Conference. Philadelphia 1998, pp. 564–568
[5] Koshkouei A. J., Zinober: Sliding mode time-delay systems. In: Proc. IEEE International Workshop on Variable Structure Systems, Tokyo 1996, pp. 97–101
[6] Kreindle E., Jameson A.: Conditions for nonnegatives of portioned matrices. IEEE Trans. Automat. Control 17 (1972), 147–148 MR 0338036
[7] Kyeong T., Yeu S. K.: Sliding mode observer based fault detection and isolation in descriptor systems. In: American Control Conference, Anchorage 2002, pp. 4543–4548
[8] Li X., Decarlo R. A.: Memoryless sliding mode control of uncertain time-delay systems. In: Proc. American Control Conference, Arlington 2001, pp. 4344–4350
[9] Liu G. Y., Li Y. C.: Active fault tolerant control with actuation reconfiguration. IEEE Trans. Aerospace and Electronic Systems 40 (2004), 1110–1117
[10] Mahmoud M. S. N.F.A.-M.: Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-delay uncertainties. IEEE Trans. Automat. Control 39 (1994), 2135–2139 MR 1295745
[11] Niu Y., Lam J., Wang, X., Ho W. W. C.: Sliding mode control for nonlinear state-delayed systems using neural network approximation. IEE Proc. Control Theory Appl. 150 (2003), 233–239
[12] Niu J. L. Y., Wang, X., Ho D. W. C.: Observer-based sliding mode control for nonlinear state-delayed systems. Internat. J. Systems Sci. 35 (2004), 139–150 MR 2051607 | Zbl 1059.93025
[13] Parlakci M. N. A.: Robust stability of uncertain time-varying state-delayed systems. IEE Proc. Control Theory Appl. 153 (2006), 469–477 MR 2351869
[14] Petersen I. R.: A stabilization algorithm for a class of uncertain linear systems. Systems Control Lett. 8 (1987), 351–357 MR 0884885 | Zbl 0618.93056
[15] Tan, Ch. P., Edwards C.: Multiplicative fault reconstruction using sliding mode observers. In: Proc. 5th Asian Control Conference 2004, pp. 957–962
[16] Wang J. Z., Ma L.: A robust fault detection and isolation method via sliding mode observer. In: Proc. 5th World Congress on Intelligent Control and Automation, Hangzhou 2004, pp. 1727–1730
[17] Xia Y. J.: Robust sliding-mode control for uncertain time-delay systems: An LMI approach. IEEE Trans. Automat. Control 48 (2003), 1086–1092 MR 1986284
[18] Xiong Y., Saif M.: Robust and nonlinear fault diagnosis using sliding mode observers. In: IEEE Conference on Decision and Control, Orlando 2001, pp. 567–572
[19] Yan X.-G., Edwards C.: Robust sliding mode observer-based actuator fault detection and isolation for a class of nonlinear systems. In: 44th IEEE Conference on Decision and Control, Seville 2005, pp. 987–992 Zbl 1168.93324
[20] Zhang Y. M., Jiang J.: Active fault-tolerant control system against partial actuator failures. IEE Proc. Control Theory Appl. 149 (2002), 95–104
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