A function state space approach to robust tracking for sampled-data systems
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It is well known that tracking to continuous-time signals by sampled-data systems presents various difficulties. For example, the usual discrete-time model is not suitable for describing intersample ripples. In order to adequately handle this problem we need a framework that explicitly contains the intersample behavior in the model. This paper presents an infinite-dimensional yet time-invariant discrete-time model which contains the full intersample behavior as information in the state. This makes it possible to clearly understand the intersample as a result of a mismatch between the intersample tracking signal and the system zero-directional vector. This leads to an internal model principle for sampled-data systems, and some nonclassical feature arising from the interplay of digital and continuous-time behavior.
KeywordsLoop Transfer Function Nonclassical Feature Internal Model Principle Digital Compensator Function Space Method
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- T. C. Chen and B. A. Francis, “Stability of sampled-data systems,” Technical Report No. 8905, University of Toronto, 1989.Google Scholar
- S. Hara and P. T. Kabamba, “Worst case analysis and design of sampled data control systems,” Proc. 29th CDC: 202–203, 1990.Google Scholar
- A. Kawano, T. Hagiwara and M. Araki, “Robust servo condition for sampled-data systems,” (in Japanese) SICE Control Theory Symp.: 35–40, 1990.Google Scholar
- B. Bamieh and J. B. Pearson, “A general framework for linear periodic systems with applications to H ∞ sampled-data control,” Tec. Rep. 9021, Rice Univ., 1990.Google Scholar
- H.-K. Sung and S. Hara, “Ripple-free condition in sampled-data control systems,” SICE 13th DST Symp.: 269–272, 1991.Google Scholar
- F. Treves, Topological Vector Spaces, Distributions and Kernels, Academic Press, New York, 1971.Google Scholar
- Y. Yamamoto, “New approach to sampled-data systems: a function space method” Proc. 29th CDC: 1882–1887, 1990.Google Scholar