Abstract
In this paper we consider adaptive tracking purely based on the ELS algorithm for the ARMAX system that may be unstable in open loop but is of minimum phase. 1) The Åström-Wittenmark’s self-tuning tracker is shown to be convergent and optimal and the convergence rate of the tracking error is established as well. 2) When the first coefficient for the system input is unknown the adaptive control is designed so that the ELS-based adaptive tracker is convergent and optimal.
Project supported by the National Natural Science Foundation, the TWAS RG MP 898–117 and the K.C. Wang Education Foundation
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© 1993 Springer-Verlag New York, Inc.
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Guo, L., Chen, HF. (1993). Convergence of Åström-Wittenmark’s Self-Tuning Regulator and Related Topics. In: Brillinger, D., Caines, P., Geweke, J., Parzen, E., Rosenblatt, M., Taqqu, M.S. (eds) New Directions in Time Series Analysis. The IMA Volumes in Mathematics and its Applications, vol 46. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9296-5_13
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DOI: https://doi.org/10.1007/978-1-4613-9296-5_13
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