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Eliminating effect of input quantisation in linear systems

Eliminating effect of input quantisation in linear systems

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A simple yet powerful concept for eliminating the effect of input quantisation that prevents the state from converging to the origin is introduced. The basic idea is to add a 1-minus, 0 or 1-plus quantising level to each quantised input component so as to maintain the decreasing property of a Lyapunov function despite input quantisation. This eliminates usage of extra devices such as adjustable multipliers, counters, comparators, and the usage of tuning parameters.

References

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      • Kofman, E.: `Quantized-state control. A method for discrete event control of continuous systems. Part II', Proc. RPIC'01, 2001, Santa Fe, Argentina, p. 109–114.
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    6. 6)
      • Kofman, E.: `Quantized-state control. A method for discrete event control of continuous systems. Part I', Proc. RPIC'01, 2001, Santa Fe, Argentina, p. 103–108.
    7. 7)
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