Abstract
The robust stabilization problem for a class of uncertain linear time-delay systems containing sector saturating actuator is considered in this paper. The uncertain time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters and delayed state. The delay is assumed to be constant bounded but unknown. The new criterion of delay-dependent robust stabilizability for uncertain time-delay systems is presented and the corresponding robust memoryless state feedback controller is derived in terms of the solutions of several linear matrix inequalities (LMIs). Numerical example is presented to illustrate the obtained results.
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References
Boyd, S., Ghaoui, L. Tl, Feron, E., et al., 1994. Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia.
Chou, J. H., Horng, I. R. and Chen, B. S., 1989. Dynamic feedback compensator for uncertain time-delay systems containing saturating actuator.Int. J. Control,49: 961–968.
Hale, J., 1971. Theory of Functional Differential Equations. Spring-Verlag, New York.
Li, X. and de Souza C. E., 1997. Criteria for robust stability and stabilization of uncertain linear systems with state delay.Automatica,33: 1657–1662.
Niculescu, S. I., de Souza, C. E., Dion, J. M., et al., 1994. Robust stability and stabilization of uncertain linear systems with state delay: single delay case (I). Proc. of IFAC Symp. On Robust Control Design, Rio de Janeiro, Brazil.
Niculescu, S. I., Dion, J. M. and Dugard, L., 1996. Robust stabilization for uncertain time-delay systems containing saturating actuators.IEEE Trans. Auto. Control,41: 742–747.
Su Hongye, Wang Jingcheng, Chu Jian, 1998a. Memoryless robust stabilization of a class of uncertain linear time-delay systems.ACTA Automatic Sinica,24: 511–515.
Su Hongye, Chu Jian and Wang Jingcheng, 1998b. A memoryless robust stabilizing controller for a class of uncertain linear time-delay systems.Int. J. Syst. Science,29: 191–197.
Su Hongye, Wang Jingcheng, Yu Li, et al., 1998c. RobustH ∞ controller design for time-varying uncertain linear systems with time-varying state and control dalays.Int. J. Syst. Science,29(8): 863–872.
Su Hongye, Chu Jian, 1998d. Robust stabilizing control for uncertain time-delay systems contain saturating actuators. Proc. IFAC LTDS’98, Grenoble, France, p. 7–12.
Yu Li, Chu Jian and Su Hongye, 1996. Robust memorylessH ∞ controller design for linear time-delay systems with norm-bounded time-varying uncertainty.Automatica,32: 1759–1762.
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Project supported by the Natural Science Key Foundation of China (NSFC: 69934030) and the Excellent (Youth) Teacher for Teaching and Research Award Foundation in Institutions of China.
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Hong-ye, S., Jian-bo, H., James, L. et al. Robust stabilization of uncertain time-delay systems containing nonlinear saturating actuators. J. Zhejiang Univ. Sci. A 1, 241–248 (2000). https://doi.org/10.1631/BF02910631
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DOI: https://doi.org/10.1631/BF02910631
Key words
- linear time-delay systems
- state feedback
- uncertainty
- saturating actuator
- delay-dependent
- linear matrix inequality (LMI)