Abstract
The adaptive fuzzy faults tolerant control problem is investigated for a single machine bus system with static var compensator (SVC). This design does not require that speed of the generator rotor and susceptance of the overall system are measured, and also does not require that the parameters of the controlled system are known accurately. The considered faults are modeled as both loss of effectiveness and lock-in-place. A fuzzy state observer is designed to estimate the speed of the generator rotor and susceptance, by combining the adaptive backstepping technique with a dynamic surface control (DSC) approach, a novel adaptive fuzzy output-feedback faults tolerant control approach is developed. It is proved that the proposed control approach can guarantee that all the signals in the closed-loop system are semiglobally uniformly ultimately bounded (SGUUB), and the angle of the generator rotor follows a desired value. Simulation results are presented to show the effectiveness of the approach.
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Cai, C.H.: Design of H 2/H ∞ guaranteed cost controller for SVC. Electr. Power Sci. Eng. 1, 62–66 (2006)
Mao, J.F., Sun, Y.K., Wu, G.Q., Liu, X.F.: A variable structure robust control method in SVC application for performance improvement. In: Proc. Chinese Contr. Conf., vol. 1, pp. 67–70 (2007)
Yan, R., Dong, Z.Y., Saha, T.K., Ma, J.: Nonlinear robust adaptive SVC controller design for power systems. In: Proc. Power Energy Soc. General Meet., vol. 1, pp. 1–7 (2008)
Sun, L.Y., Tong, S.C., Liu, Y.: Adaptive backstepping sliding mode control of static var compensator. IEEE Trans. Control Syst. Technol. 19, 1178–1185 (2011)
Wang, L.X.: Adaptive Fuzzy Systems and Control. Prentice Hall, Englewood Cliffs (1994)
Chen, B., Liu, X.P., Liu, K.F., Shi, P., Direct, L.C.: Adaptive fuzzy control for nonlinear systems with time-varying delays. Inf. Sci. 180, 776–792 (2010)
Yu, J.P., Chen, B., Yu, H.S.: Fuzzy-approximation-based adaptive control of the chaotic permanent magnet synchronous motor. Nonlinear Dyn. 69, 1479–1488 (2012)
Zhou, Q., Shi, P., Lu, J., Xu, S.Y.: Adaptive output feedback fuzzy tracking control for a class of nonlinear systems. IEEE Trans. Fuzzy Syst. 19, 972–982 (2011)
Li, Y.M., Ren, C.E., Tong, S.C.: Adaptive fuzzy backstepping output feedback control for a class of MIMO time-delay nonlinear systems based on high-gain observer. Nonlinear Dyn. 67, 1175–1191 (2012). 2012
Wang, H.Q., Chen, B., Lin, C.: Direct adaptive neural control for strict-feedback stochastic nonlinear systems. Nonlinear Dyn. 67, 2703–2718 (2012)
Li, P., Yang, G.H.: Backstepping adaptive fuzzy control of uncertain nonlinear systems against actuator faults. Control Theory Appl. 7, 248–256 (2009)
Li, P., Yang, G.H.: Adaptive fuzzy control of unknown nonlinear systems with actuator failures for robust output tracking. Proc. Am. Control Conf. 7, 4898–4903 (2008)
Li, P., Yang, G.H.: An adaptive fuzzy design for fault-tolerant control of MIMO nonlinear uncertain systems. Control Theory Appl. 9, 244–250 (2011)
Huo, B.Y., Tong, S.C., Li, Y.M.: Adaptive fuzzy fault-tolerant output feedback control of uncertain nonlinear systems with actuator faults. Int. J. Syst. Sci. (2012, in press)
Li, Y.M., Tong, S.C., Li, T.S.: Adaptive fuzzy backstepping control of static var compensator based on state observer. Nonlinear Dyn. (2013). doi:10.1007/s11071-013-0773-3
Wang, D., Huang, J.: Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans. Neural Netw. 16, 195–202 (2005)
Li, T.S., Wang, D., Feng, G.: A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems. IEEE Trans. Syst. Man Cybern., Part B, Cybern. 40, 915–927 (2010)
Kim, E., Sungryul, L.: Output feedback tracking control of MIMO systems using a fuzzy disturbance observer and its applications to the speed control of a PM synchronous motor. IEEE Trans. Fuzzy Syst. 13, 725–741 (2005)
Zou, A.M., Hou, Z.G.: Adaptive control of a class of nonlinear pure-feedback systems using fuzzy backstepping approach. IEEE Trans. Fuzzy Syst. 16, 886–897 (2008)
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This work was supported by the National Natural Science Foundation of China (Nos. 61074014, 61203008), the Program for Liaoning Innovative Research Team in University (No. LT2012013).
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Xu, Y., Tong, S. & Li, Y. Adaptive fuzzy fault-tolerant control of static var compensator based on dynamic surface control technique. Nonlinear Dyn 73, 2013–2023 (2013). https://doi.org/10.1007/s11071-013-0919-3
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DOI: https://doi.org/10.1007/s11071-013-0919-3