Finite settling time stabilisation: the robust SISO case

Milonidis, E., Kostarigka, A. & Karcanias, N. (2011). Finite settling time stabilisation: the robust SISO case. International Journal of Control, 84(9), pp. 1521-1532. doi: 10.1080/00207179.2011.611949

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Abstract

This article deals with the problem of robustness to multiplicative plant perturbations for the case of finite settling time stabilisation (FSTS) of single input single output (SISO), linear, discrete-time systems. FSTS is a generalisation of the deadbeat control and as in the case of deadbeat control the main feature of FSTS is the placement of all closed-loop poles at the origin of the z-plane. This makes FSTS sensitive to plant perturbations hence, the need of robust design. An efficient robustness index is introduced and the problem is reduced to a finite linear programme where all the benefits of the simplex method, such as effectiveness, efficiency and ability to provide complete solution to the optimisation problem, can be exploited.

Item Type: Article
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control on 15 Sep 2011, available online: http://wwww.tandfonline.com/10.1080/00207179.2011.611949
Uncontrolled Keywords: discrete time systems, finite settling time, tracking, robustness, linear programming
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Engineering & Mathematical Sciences > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/7298

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