Arbitrary precision computation of the set of stabilising gains for time-delay LTI systems

作者：Bayhan Nevra; Soylemez Mehmet Turan^*

来源：International Journal of Control, 2012, 85(1): 26-40.

DOI：10.1080/00207179.2011.638324

• time-delay systems
• stabilisation
• Pade approximation
• proportional control, stabilisation

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 Pade approximations for the time-delay, Lam%26apos;s studies on the convergence of Pade 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 Pade approximation. As a result, it is possible to approximate the resulting set arbitrarily close to the exact stabilising set.

• 出版日期2012