Abstract
Truncation and rounding appear in digital systems due to the need for representing and storing information with a finite number of bits. In addition, some delays are introduced between signals that are subject to transport or arithmetic calculations. When a computer is used to implement a controller, these finite-precision phenomena can significantly affect the behaviour of the closed loop system. This paper addresses the problem of designing a digital controller that behaves as close as possible to its predicted performance in such a finite precision environment. Some classical results are revisited and procedures for the simultaneous design of the controller transfer function and its optimal realisation with respect to roundoff noise are investigated.
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de Oliveira, M.C., Skelton, R.E. (2001). Synthesis of Controllers with Finite-Precision Considerations. In: Istepanian, R.S.H., Whidborne, J.F. (eds) Digital Controller Implementation and Fragility. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-0265-6_13
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DOI: https://doi.org/10.1007/978-1-4471-0265-6_13
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1082-8
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