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Quantizer effects on steady-state error specifications of digital feedback control systems

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3 Author(s)
Miller, R.K. ; Dept. of Math., Iowa State Univ., Ames, IA, USA ; Michel, A.N. ; Farrell, J.A.

Suppose that for a linear, time-invariant, single-input single-output (SISO) plant a digital dynamic controller has been designed so that the corresponding discrete-time linear feedback control system will satisfy certain specified steady-state error criteria (e.g., the output v˜(kT) will follow the input r (kT) within a certain given error bound). Corresponding to this idealized linear system, the digital implementation of the dynamic controller will result in a nonlinear feedback control system. To what extent the resulting nonlinear digital feedback control system satisfies the steady-state-error criteria of the original idealized linear prototype feedback control system is investigated. Digital controller implementations which use fixed-point arithmetic or floating-point arithmetic are considered. Designs which are well scaled are assumed, i.e., overflow nonlinearities in digital controllers are not addressed

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Automatic Control, IEEE Transactions on  (Volume:34 ,  Issue: 6 )