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A Unified Closed-Loop Stability Measure for Finite-Precision Digital Controller Realizations Implemented in Different Representation Schemes.

By Jun Wu, Sheng Chen, James F. Whidborne and Jian Chu


A computationally tractable unified finite word length closed-loop stability measure is derived which is applicable to fixed-point, floating-point and block- floating-point representation schemes. Both the dynamic range and precision of an arithmetic scheme are considered in this new unified measure. For each arithmetic scheme, the optimal controller realization problem is defined and a numerical optimization approach is adopted to solve it. Numerical examples are used to illustrate the design procedure and to compare the optimal controller realizations in different representation schemes

Topics: Closed-loop stability, digital controller, finite word length, number representation format, optimization
Publisher: IEEE Institute of Electrical and Electronics
Year: 2003
OAI identifier:
Provided by: Cranfield CERES

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  3. (1987). Computation of system balancing transformations and other applications of simultaneous diagonalization reduction algorithms,” doi
  4. (2001). Eds., Digital Controller Implementation and Fragility: A Modern Perspective. doi
  5. (1998). Genetic Algorithms: Concepts and Design. doi
  6. (1994). On stability and performance of sampled-data systems subject to wordlength constraint,” doi
  7. (1998). On the structure of digital controllers with finite word length consideration,” IEEETrans. doi
  8. (2002). Optimal finite-precision controller and filter realizations using floating-point arithmetic,” in doi
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  10. (1993). Parameterizations in Control, Estimation and Filtering Problems: Accuracy Aspects. doi
  11. (1985). Robust pole assignment in linear state feedback,” doi
  12. (1970). Schechter,Optimization: Theory and Practice.
  13. Stability analysis of block floating point digital controllers,” presented at the UKACC

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