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Analysis of steady-state tracking errors in sampled-data systems with uncertainty. (English) Zbl 0979.93069
The paper deals with robust steady-state $$\varepsilon$$-tracking of sampled data systems in the presence of structured norm bounded time-varying finite memory uncertainty. An appropriate steady-state norm has been defined, and a steady-state norm matrix has been constructed based on this norm. Exact conditions for robust $$\varepsilon$$-tracking of sampled data systems were derived in terms of the spectral radius of this matrix. The results show that even if zero steady-state tracking can be achieved for the nominal system, the steady-state tracking error may no longer be zero in the presence of time-varying uncertainty in the system, and that it can be arbitrarily large. An example for computing the steady-state tracking error for a sampled data system with uncertainty is provided.
##### MSC:
 93C57 Sampled-data control/observation systems 93B51 Design techniques (robust design, computer-aided design, etc.)
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##### References:
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