Abstract
This article presents a robust control scheme for a nonlinear singular system under actuator saturation to achieve global exponential stability. Moreover, we can guarantee the convergence rate of such singular systems. Finally, we provide a numerical example to prove the validity and applicability of our proposed method.
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References
Wang, J., Ma, S., Zhang, C., Fu, M.: Finite-time H∞ filtering for nonlinear singular systems with nonhomogeneous markov jumps. IEEE Trans. on Cybern. 49(6), 2133–2143 (2019)
Fang, C.H., Chang, F.R.: Analysis of stability robustness for generalizedstate-space systems with structured perturbations. Syst. Contr. Lett. 21, 109–114 (1993)
Zhang, Y., Zhang, Q., Zhang, J. Wang, Y.: Sliding mode control for fuzzy singular systems with time delay based on vector integral sliding mode surface. IEEE Trans. Fuzzy Syst. 28 (4), 768–782 (2020)
Liu, D., Yang, Y., Li, L., Ding, S.X.: Control performance-based fault-tolerant control strategy for singular systems. IEEE Trans. Syst. Man Cybern. Syst. 50(7), 2398–2407 (2020)
Pang, B., Zhang, Q.: Interval observers design for polynomial fuzzy singular systems by utilizing sum-of-squares program. IEEE Trans. Syst. Man Cybern. Syst. 50(6), 1999–2006 (2020)
LEE, S.Y., KWON, N.K.: Proportional-derivative state-feedback control for singular systems with input quantization. IEEE Access 8, 160065–160069 (2020)
Franklin, G.F., Powell, J.D., Emani-Naeini, A.: Feedback Control of Dynamic System. Massachusetts: Addison-Wesley (1994)
ABIDI, K., POSTLETHWAITE, I.: Discrete-time adaptive control for systems with input time-delay and non-sector bounded nonlinear functions. IEEE Access 7, 4327–4337 (2019)
D.A. Recker, P.V. Kokotovic, D. Rhode, and J. Winkelman,: Adaptive nonlinear control of systems containing a deadzone, in Proceedings of the 30th Conference on Decision and Control, pp. 748–753. (1991)
Sun, Y.J.: A unifying control scheme for a class of nonlinear systems with uncertain deadzone or quantization actuator. In: 2003 National Symposium on Automatic Control, pp. 1113–1118 (2003)
Shyu, K.K., Chen, Y.C.: Robust tracking and model following for uncertain time-delay systems. Int. J. Contr. 62, 589–600 (1995)
Edwards, C., Spurgeon, S.: Sliding mode stabilization of uncertain systems using only output information. Int. J. Contr. 62, 1129–1144 (1995)
Xu, S., Lam, J.: Robust Control and Filtering of Singular Systems. Berlin, Germany: Springer-Verlag (2006)
Yedavalli, R.K., Liang, Z.: Reduced conservatism in stability robustness bounds by state transformation. IEEE Trans. Automat. Contr. 31, 863–866 (1986)
Sun, Y.J.: Exponential stability for continuous-time singular systems with multiple time delays. ASME J. Dyn. Syst. Meas. Control 125(2), 262–264 (2003)
Acknowledgment
This research is supported by the program of Fuzhou Polytechnic of China. Project id RCQD201803 and project number 2019GXXM002.
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Huang, CC., Freg, CP., Huang, HS. (2021). Global Exponential Stabilization for a Class of Nonlinear Singular Systems with Sector Actuator. In: Hassanien, AE., Chang, KC., Mincong, T. (eds) Advanced Machine Learning Technologies and Applications. AMLTA 2021. Advances in Intelligent Systems and Computing, vol 1339. Springer, Cham. https://doi.org/10.1007/978-3-030-69717-4_98
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DOI: https://doi.org/10.1007/978-3-030-69717-4_98
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