Optimum Realizations of Sampled-data Controllers for Fwl Sensitivity Minimization
(1995) Automatica — Vol. 31, n° 3, p. 367-379 (1995)
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- Abstract
- The problem of an optimal finite-word-length state-space realization of a digital controller is investigated. The closed loop to be considered consists of a continuous-time plant,a discrete-time controller, a sampler, a zero-order hold and an antialiasing filter. An effective algorithm is proposed to find the optimal sampled-data controller realization minimizing the sensitivity of the closed-loop performance with respect to coefficient errors in the state variable matrices of the controller realization. In order to get a tractable problem, a two-step procedure is to be used: very fast sampling at a multiple of the sampling frequency followed by 'blocking' or 'lifting' to obtain a single-rate system. The procedure allows consideration of the system's intersample behaviour.
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Citations
Madievski, AG., Anderson, BDO., & Gevers, M. (1995). Optimum Realizations of Sampled-data Controllers for Fwl Sensitivity Minimization. Automatica, 31(3), 367-379. https://doi.org/10.1016/0005-1098(94)00112-V (Original work published 1995)