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H∞-optimal controller discretization
Authors:J. P. Keller  B. D. O. Anderson
Abstract:A redesign method for discretizing a continuous-time controller is proposed. The resulting hybrid control system, for example with continuous-time plant and discrete-time controller, is stable, and performance including the system's inter-sampling behaviour can be optimized by approximating some chosen reference transfer function of the continuous-time control system. In order to obtain a tractable problem, the continuous-time part of the hybrid system and the reference transfer function are approximated by a discrete-time system with arbitrary fast sampling. After lifting the resulting periodic system, the approximation problem can be formulated as a standard H-problem which is solved using standard software for H-controller design.
Keywords:Digital control  Sampled data systems  H∞   controller design  Intersampling behaviour
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