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Finite settling time stabilisation: the robust SISO case

Milonidis, E., Kostarigka, A. and 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

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.

Publication 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
Publisher 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
Departments: School of Mathematics, Computer Science & Engineering > Engineering
School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
URI: http://openaccess.city.ac.uk/id/eprint/7298
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