Abstract
A new method is proposed to calculate the set of proportional controllers stabilising a given linear time-invariant system with a fixed time-delay. The method is based on the utilisation of Padé approximations for the time-delay, Lam's studies on the convergence of Padé approximations and a generalisation of the Nyquist theorem applicable to quasi-polynomials. The method allows determination of the closeness of the resulting set to the exact set of stabilising gains by tracing the uncertainty introduced by the Padé approximation. As a result, it is possible to approximate the resulting set arbitrarily close to the exact stabilising set.
Original language | English |
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Pages (from-to) | 26-40 |
Number of pages | 15 |
Journal | International Journal of Control |
Volume | 85 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2012 |
Keywords
- Padéapproximation
- proportionalcontrol
- stabilisation
- time-delaysystems