SYSTEM-THEORETIC PROPERTIES OF SAMPLED-DATA REPRESENTATIONS OF NONLINEAR-SYSTEMS OBTAINED VIA TAYLOR METHODS
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abstract
It is possible to obtain a sampled-data representation of a nonlinear dynamic system under zero-order hold using Taylor methods. Explicit formulas for the resulting discrete-time system are derived in terms of the system Lie derivatives. The effect of sampling on system-theoretic properties of nonlinear systems, such as equilibrium properties, relative order, stability, zero dynamics and minimum-phase characteristics, is examined, revealing the natural and transparent way in which Taylor methods permeate the relevant theoretical aspects.
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Proceedings of 1994 American Control Conference - ACC '94