Abstract
A design scheme of variable structure model reference control systems using only input and output measurements is presented for the systems with unmodeled dynamics and disturbances in input and output channels. The modeled part of the systems has relative degree greater than one and unknown upper bound of degree. By introducing some auxiliary signals and normalized, signals with memory functions and appropriate choice of controller parameters, the developed variable structure controller guarantees the global stability of the closed-loop system and the arbitrarily small tracking error.
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Narendra, K. S., Lin, Y. H., Valavani, L., Stable adaptive controller design, Part II: Proof of stability, IEEE Trans. Automat. Contr., 1980, 25: 440.
Narendra, K. S., Valavani, L., Stable adaptive controller design-direct control, IEEE Trans. Automat. Contr., 1978, 23: 570.
Rohrs, C. E., Alavani, L. V., Athans, M. et al., Robustness of continuous time adaptive control algorithms in the presence of unmodeled dynamics, IEEE Trans. Automat. Contr., 1985, 30: 881.
Anderson, B. D. O., Bitmead, R. R., Johnson, C. R. et al., Stability of Adaptive Systems: Passivity and Averaging analysis, Cambridge: MIT Press, 1986.
Kosut, R. L., Johnson, C. R., An input-output view of robustness in adaptive control, Automatica, 1984, 20: 569.
Sastry, S. S., Bodson, M., Adaptive control: Stability, Convergence and Robustness, Englewood Cliffs: Prentice-Hall, 1989.
Narendra, K. S., Annaswamy, A. M., Robust adaptive control in the presence of bounded disturbances, IEEE Trans. Automat. Contr., 1986, 31: 306.
Peterson, P. P., Narendra, K. S., Bounded error adaptive control, IEEE Trans. Automat. Contr., 1982, 27: 1161.
Kreisselmeier, G., Anderson, B. D. O., Robust model reference adaptive control, IEEE Trans. Automat. Contr., 1986, 31: 127.
Sastry, S. S., Model reference adaptive control: stability, Parameter convergence and robustness, IMAC Control and Information 1984, 1: 27.
Samson, C., Stability analysis of adaptively controlled system subject to bounded distrubances, Automatica, 1983, 19: 81.
Ioannou, P. A., Robust adaptive controller with zero residual tracking errors, IEEE Trans. Automat. Contr., 1986, 31: 773.
Ioannon, P. A., Tsakalis, K. S., A robust direct adaptive controller, IEEE Trans. Automat. Contr., 1986, 31: 1033.
Ortega, R., Praly, L., Tang, Y., Direct adaptive tuning or robust controllers with guaranteed stability properties, System and Control Letters, 1987, 8: 321.
Praly, L., Robust model reference adaptive controllers, Part I: stability analysis, Proc. of the 23rd IEEE CDC, 1984, 1009.
Tao, G., Ioannou, P. A., Robust adaptive control—a modified scheme, Int. J. Control, 1991, 54: 241.
Fu, L. C., A new robust MRAC using variable structure design for relative degree two plants, Automatica, 1992, 28: 911.
Hsu, L., Costa, R. R., Variable structure model reference adaptive control using only input and output measurements, Part I, Int. J. Control, 1989, 49: 399.
Hsu, L., Lizarralde, F., Araujo A., New results on output feedback VS-MRAC: design and stability analysis, IEEE Trans. Automat. Contr., 1997, 42: 386.
Feng, C. B., Wu, Y. Q., A design scheme of variable structure adaptive control for uncertain dynamic systems, Automatica, 1996, 32(4): 561.
Wu, Y. Q., Yu, X., Variable structure control design for uncertain dynamic systems with disturbances in input and output channels, Automatica, 1999, 35(2): 311.
Wu, Y. Q., Yu, X., Adaptive output feedback variable structure control design for uncertain dynamic systems, Int. J. of Control, 1998, 69(1): 145.
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Wu, Y., Yu, X. & Feng, C. Variable structure control for MRAC systems with perturbations in input and output channels. Sci. China Ser. E-Technol. Sci. 43, 430–448 (2000). https://doi.org/10.1007/BF02916991
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DOI: https://doi.org/10.1007/BF02916991